A Study on Crude Oil Price Forecasting Using RNN Model
Crude oil; Economics growth; Gated recurrent units (GRUs); Long short-term memory (LSTM); Price prediction; RNN; Stock market
Crude oil forecasting plays an important role in every countrys economic progress. Inflation is likely to rise as oil prices rise, delaying economic progress. In terms of inflation, oil prices directly affect the expense of commodities produced using petroleum products. Not only crude, this paper provides the idea of best prediction models that could be used for easy prediction in stocks. It provides an overview of the data and methodology. As a result, we have compiled a list of articles that discuss the impact of crude oil on various stock markets and how it affects different countries. And in general, we were looking for the optimal price prediction model between gated recurrent units (GRUs) and long short-term memory (LSTM). 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
Lecture Notes in Networks and Systems, Vol-462, pp. 423-432.
Springer Science and Business Media Deutschland GmbH
Pulimoottil J.S., Christ University, Bangalore, India; Kaushik J., Christ University, Bangalore, India
FDI in Developing Nations: Unveiling Trends, Determinants and Best Practices for India
determinants; developing countries; foreign direct investment; p-ardl
In the recent UNCTAD World Investment Report 2023, China has the highest FDI inflows among the developing countries, following Brazil, India, Mexico, and Indonesia. These five developing countries attracted more FDI inflows in the year 2022. However, among these five countries, China and the other four countries have a lot of differences in FDI inflows. So, this study investigates the factors helping China get more FDI inflows by analyzing the trends and determinants of FDI inflows. The study also compares all the selected countries to suggest the best practices India can adopt to enhance its FDI attractiveness. So, the study considered economic indicators like GDP, infrastructure, trade openness, and natural resources. Further, panel data analysis was used to investigate the determinants influencing FDI inflows, utilizing the Panel Autoregressive Distributed Lag (P-ARDL) model for the data from 1990 to 2022. The findings showed that trade openness, market size, and quality of infrastructure explain the attraction of FDI inflows in selected countries in the long run. Thus, it is important to implement policies that encourage international collaboration by raising trade, lowering corporate expenses, and making infrastructural investments. India's availability of a large consumer market, developed infrastructure, and government initiatives like 'Make in India,' and "Skill India"have pulled major FDI inflows. India should prioritize manufacturing, IT, and healthcare while improving infrastructure and streamlining regulations. 2024 IEEE.
2024 International Conference on Electrical, Electronics and Computing Technologies, ICEECT 2024
Institute of Electrical and Electronics Engineers Inc.
Pullipati G., Christ (Deemed to be University), Dept of Data Science, Lavasa, Pune, India; Hussain A., Christ (Deemed to be University), Dept of Data Science, Lavasa, Pune, India; Gunavathi R., Christ (Deemed to be University), Dept of Data Science, Lavasa, Pune, India
Theoretical analysis of the thermal characteristics of ReeEyring nanofluid flowing past a stretching sheet due to bioconvection
Bioconvection; Differential transformation method; Gyrotactic microorganisms; Inclined magnetic field; ReeEyring nanofluid
This analysis examines the flow of ReeEyring nanofluid over a stretching sheet in the presence of an inclined magnetic field. The nanoparticle distribution in the nanofluid is stabilised by the movement of motile microorganisms and it constitutes bioconvection. Meanwhile, the impact of thermophoresis and Brownian motion which plays an important role in the transfer of heat and mass is considered along with the convective boundary conditions. The flow of non-Newtonian nanofluid is widely used in the many manufacturing industries as a major component of cooling. Furthermore, it finds applications in thermal extrusion systems, biomedical engineering, cancer treatment etc. The governing equations are formulated using partial differential equations that are translated into non-linear differential equations employing appropriate relations based on these assumptions. The differential transformation technique (DTM) is used to solve these non-linear differential equations, and the results are shown in graphs and tables for various fluid flow parameters. The skin friction coefficient, local Nusselt, and motile density are all calculated and examined numerically. Fluid velocity is observed to increase as a function of a fluid variable. Furthermore, increasing the value of the thermal and relaxation solutal parameters reduces the temperature and concentration. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022.
Puneeth V.; Ali F.; Khan M.R.; Anwar M.S.; Ahammad N.A.
Biomass Conversion and Biorefinery, Vol-14, No. 7, pp. 8649-8660.
Puneeth V., Department of Computational Science, CHRIST(Deemed to be University), Ghaziabad, 201003, India; Ali F., Departmental of Mathematical Science, Federal Urdu University of Arts, Science and Technology, Karachi, Pakistan; Khan M.R., LSEC and ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing, 100190, China; Anwar M.S., Department of Mathematics, University of Jhang, Gojra Road, Jhang, 35200, Pakistan; Ahammad N.A., Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, 71491, Saudi Arabia
Nanofluid flowing over a rotating disk that is stretching and permeable: An unsteady model
laminar flow; Nanofluid; rotating disk; suction; unsteady flow
The model presented in this paper deals with the investigation of the unsteady laminar flow past a stretchable disk. The nanofluids Al2O3/H2O and Cu/H2O are considered for the analysis where the thermal characteristics and flow behavior of these nanofluids are compared. In addition, the system is subjected to the suction force that has significant impacts on velocity of the nanofluid flow. Further, the nanoparticle solid volume fraction is another important parameter that is discussed which has a prominent role on both profiles of the nanofluid. Furthermore, the investigated mathematical model is framed using PDEs that are transformed to ODEs using suitable transformations. The system of equations obtained in this regard is solved by employing the RKF-45 numerical method where the results are obtained in the form of graphs. Various nanofluids flow parameters arise in the study and the impact of all these parameters has been analyzed and interpreted. Some of the major outcomes are that the higher values of nanoparticle solid volume fraction enhance the temperature while it decreases velocity of the flow. The comparison of flow of the two nanofluids concluded that aluminawater nanofluid has a better velocity while the copperwater nanofluid has a better thermal conductivity. World Scientific Publishing Company.
International Journal of Modern Physics B, Vol-37, No. 28
Puneeth V., Department of Computational Sciences, School of Sciences, CHRIST University, Bengaluru, 560029, India; Aly E.H., Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt; Pop I., Department of Mathematics, Babe?Bolyai University, Cluj Napoca, 400084, Romania
Corrigendum to Implementation of modified Buongiorno's model for the investigation of chemically reacting rGO-Fe3O4-TiO2-H2O ternary nanofluid jet flow in the presence of bio-active mixers [Chemical Physics Letters, 786, 2022, 139194]
Bioconvection; Gyrotactic microorganisms; Jet flow; Modified Buongiorno model; Ternary nanofluid
A few typographical errors have been identified in our paper titled Implementation of modified Buongiorno's model for the investigation of chemically reacting rGO-Fe3O4-TiO2-H2O ternary nanofluid jet flow in the presence of bio-active mixers. This corrigendum addresses those errors however, these errors have no impact on the obtained results. 2022
Puneeth V.; Anandika R.; Manjunatha S.; Ijaz Khan M.; Imran Khan M.; Althobaiti A.; Galal A.M.
https://doi.org/10.1016/j.cplett.2022.139632 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85128235636&doi=10.1016%2fj.cplett.2022.139632&partnerID=40&md5=2f9685a2a388b4f24c6b94780097e7ab
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560029, India; Anandika R., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560029, India; Manjunatha S., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, 560074, India; Ijaz Khan M., Department of Mathematics and Statistics, Riphah International University I-14, Islamabad, 44000, Pakistan, Department of Mechanics, Peking University, Beijing, 100871, China; Imran Khan M., Division of Sustainable Development, College of Science and Engineering, Hamad Bin Khalifa University, Qatar Foundation, Doha, Qatar; Althobaiti A., Department of Mathematics, College of Science, Taif University, P.O. Box, 11099, Taif, 21944, Saudi Arabia; Galal A.M., Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser, 11991, Saudi Arabia, Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura Univetsity, P.O. 35516, Mansoura, Egypt
Quadratic convection on the radiative flow of ternary nanofluid Gr-Ag-TiO2-H2O subjected to velocity slip and temperature jump
magnetic field; quadratic convection; stretching sheet; Ternary nanofluid; thermal radiation; viscous dissipation
This paper deals with the analysis of the flow and heat transfer performance of ternary nanofluid flowing past a stretching sheet under the influence of quadratic convection. The ternary nanofluid is formed by suspending three dierent nanoparticles, namely, titanium dioxide (TiO2), silver (Ag) and graphene (Gr) in the base fluid water (H2O). Thus, the ternary nanofluid obtained is Gr-Ag-TiO2/H2O where the hybrid nanofluid Ag-TiO2/H2O forms the base fluid for the resulting ternary nanofluid. The addition of TiO2 nanoparticles enhances the photocatalytic nature of the base fluid and makes it useful in various applications concerning the medicinal field. The presence of Gr helps in intensifying the thermal conductivity of water while the suspension of silver nanoparticles ensures chemical stability. Meanwhile, the thermophysical properties of the ternary nanofluid are mathematically defined and the system of equations that describe the flow of a ternary nanofluid past a stretching sheet is framed using dierential equations. The outcomes of this study are interpreted through graphs for velocity and temperature profiles of the ternary nanofluid. It was mainly observed that the thermal conductance of ternary nanofluid was higher than the monophase and hybrid nanofluid. Also, the presence of quadratic convection had a prominent impact on the ternary nanofluid flow. The Nusselt number was found to be greater for spherical nanoparticles and it was found to be least for blade-shaped nanoparticles. 2024 World Scientific. All rights reserved.
Puneeth V.; Anandika R.; Manjunatha S.; Makinde O.D.
International Journal of Modern Physics B, Vol-38, No. 9
Puneeth V., Department of Computational Sciences, CHRIST (Deemed to be University), Bengaluru, India; Anandika R., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, 560029, India; Manjunatha S., Department of Sciences and Humanities, CHRIST (Deemed to be University), Karnataka, Bangalore, 560074, India; Makinde O.D., Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha, 7395, South Africa
Bioconvective DarcyFrochherimer flow of the ReeEyring nanofluid through a stretching sheet with velocity and thermal slips
bioconvection; Eckert number; inclined magnetic field; ReeEyring nanofluid; stretching sheet
In the current study, the bioconvective flow of ReeEyring through an expanding sheet with the porous medium is analyzed by considering the inclined magnetic field and gyrotactic microorganisms. Buongiorno's model, which defines the two major mechanisms; thermophoresis and Brownian motion is used to frame the mathematical model. The presence of motile cells helps in stabilizing the nanoparticle and avoids the sedimentation due to nanoparticles. The mathematical model with these assumptions is framed using partial differential equations (PDE) that are later remodeled to ordinary nonlinear differential equations by incorporating desirable similarity transformation. The equations so obtained shall be solved using DTM and the outcomes are described through graphs and tables. The graphs indicated that the velocity of the nanofluid flow reduces with the increase in the porosity and similarly, the higher values of Peclet number (Pe) are found to diminish the motile density. Whereas the increase in the thermophoresis parameter enhances the thermal and mass profiles of the nanofluid. 2022 Informa UK Limited, trading as Taylor & Francis Group.
Puneeth V., Department of Computational Sciences, CHRIST University, Bengaluru, India; Anwar M.S., Department of Mathematics, University of Jhang, Jhang, Pakistan; Khan M.R., LSEC and ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing, China
The analogy of nanoparticle shapes on the theory of convective heat transfer of AuFe3O4 Casson hybrid nanofluid
casson nanofluid; heat transfer co-efficient; nanoparticle shape; thermal conductivity; volume fraction
In recent times, Au nanoparticles have beencommonly used for delivering the drug especially in the case of hypothermia of tumors, but low absorption of IR light does not solve destruction of tumor cells. However, nanoparticles such as Fe3O4 coated with Au could be used to deliver the drug to a specific spot due to applied external magnetic field. Due to these applications, boundary layer approximation is invoked to simplify the mathematical model. This paper presents the nanoparticle shape analysis and heat transfer features of the AuFe3O4blood hybrid nanofluid flowing past a stretching surface on a magnetohydrodynamic medium. Numerical solutions of nonlinear differential equations are obtained by RKF-45 method with the help of shooting technique. The behavior of emerging parameters is described graphically for velocity and temperature profiles. It is found that the blade-shaped Au and Fe3O4 nanoparticles have better thermal conductance than brick, sphere, cylinder, needle, and platelet shapes. It is also observed that the Lorentz force generated due to magnetic field helps in controlling the flow and enhance the thermal conductivity of hybrid nanofluid. 2021 Wiley Periodicals LLC.
Heat Transfer, Vol-51, No. 3, pp. 2586-2603.
https://doi.org/10.1002/htj.22415 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85121330835&doi=10.1002%2fhtj.22415&partnerID=40&md5=725ff35d957de7bfe84103ab4503c7b3
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Baby A.K., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, India; Manjunatha S., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, India
The convective heat transfer analysis of the casson nanofluid jet flow under the influence of the movement of gyrotactic microorganisms
Bioconvection; Casson nanofluid; Differential transform method; Gyrotactic microorganisms; Jet flow
Jet flows provide an effective mode of energy transfer or mass transfer in industrial applications. When compared to traditional cooling through convection, jet flows have high heat and mass transfer coefficients. Further, the devices equipped with jet flow provides efficient use of fluid and also offers enhanced heat and mass transfer rates. Hence in this study, the jet flow of Casson nanofluid containing gyrotactic microorganisms that stabilises the nanoparticle suspension is discussed. To control the fluid from outside external magnetic field is imposed. The model with these characteristics are useful in the appliances like coolants in automobiles, nuclear reactors, micro-manufacturing, metallurgical process etc. Such a model is created by employing PDE, which are then transformed into a system of ODE. The DTM is employed to obtain the solution to system of equations, and the results are interpreted using graphs. It is perceived that the velocity of the nanofluid flow is decreased because of the increased yield stress created by the greater values of the Casson parameter. As a result, the temperature profile is found to be increasing. Meanwhile, it is observed that for increased value of chemical reaction parameter diminishes the nanoparticle concentration. The motile density is found to decrease for increase in the Peclet number and the bioconvection Schmidt number. Further, the thermophoresis improves the temperature and concentration profile of the nanofluid. 2022 Indian Chemical Society
Puneeth V.; Khan M.I.; Jameel M.; Geudri K.; Galal A.M.
Journal of the Indian Chemical Society, Vol-99, No. 9
https://doi.org/10.1016/j.jics.2022.100612 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85134826345&doi=10.1016%2fj.jics.2022.100612&partnerID=40&md5=0499a55d0bb76de3741f326f7f6b6682
Puneeth V., Department of Computational Science, School of Sciences, CHRIST(Deemed to be University), Ghaziabad, 201003, India; Khan M.I., Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, 21589, Saudi Arabia, Department of Mathematics and Statistics, Ripah International University I-14, Islamabad, 44000, Pakistan; Jameel M., Department of Civil Engineering, College of Engineering, King Khalid University, Asir, Abha, 61421, Saudi Arabia; Geudri K., Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm AlQura University, Makkah, 21955, Saudi Arabia; Galal A.M., Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser, 11991, Saudi Arabia, Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura, 35516, Egypt
The impact of the movement of the gyrotactic microorganisms on the heat and mass transfer characteristics of Casson nanofluid
Brownian motion; differential transformation method; diverging channel; Gyrotactic microorganisms; thermophoresis
This article focuses on analyzing the impact of the movement of gyrotactic microorganisms on the heat and mass transfer characteristics of Casson nanofluid flowing between divergent. Further, the analysis is performed through simulation to have a better understanding of the impact. Since the microorganisms are self-propelled, they move on their own in the nanofluid due to the concentration gradient and stabilize the nanoparticle suspension. This movement of microorganisms constitutes the formation of bioconvection. Further, the random motion of nanoparticles gives rise to two major slip mechanisms termed thermophoresis and Brownian motion. The mathematical model comprising these effects is designed using partial differential equations that are converted to ordinary differential equations with the help of suitable similarity transformation. The resulting system of equations is then solved using the differential transformation method and the outcomes are interpreted through graphs. It is indicated that the nanoparticle concentration and the motile density profiles increase with the increase in Schmidt number and also, the concentration profile is found to be increasing for higher Brownian motion parameter and lower thermophoretic parameter. The simulations performed through the finite element method portrayed that the heat flow in the diverging channel is occurring along the isothermal planes. 2022 Informa UK Limited, trading as Taylor & Francis Group.
Puneeth V.; Khan M.I.; Narayan S.S.; El-Zahar E.R.; Guedri K.
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Khan M.I., Laboratory of Systems Ecology and Sustainability Science, College of Engineering, Peking University, Beijing, China, Department of Mathematics and Statistics, Ripah International University, Islamabad, Pakistan; Narayan S.S., Department of Mathematics, CMR Institute of Technology, Bengaluru, India; El-Zahar E.R., Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin ElKom, Egypt, Department of Mathematics, College of Sciences and Humanities, Prince Sattam bin Abdulaziz University, AlKharj, Saudi Arabia; Guedri K., Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm AlQura University, Makkah, Saudi Arabia
Stratified Bioconvective Jet Flow of Williamson Nanofluid in Porous Medium in the Presence of Arrhenius Activation Energy
Arrhenius activation energy; bioconvection; jet flow; porous medium; stratification; Williamson nanofluid
Due to the higher coefficients of heat and mass transfer, the jet flow has become an effective source for the transfer of heat and mass in various industries. Due to these high coefficients, the heat and mass transfer rates will be high in the appliances equipped with the jet flow. Further, the existence of the magnetic field helps in controlling the velocity and the presence of the gyrotactic microorganisms ensure proper mixing of nanoparticles. A dilute nanoparticle suspension is assumed so that it will not affect the movement of motile cells that leads to bioconvection. Hence, this paper aims to analyze the characteristics of heat transfer as well as mass transfer of the jet flow of Williamson nanofluid past a porous stretching sheet in the existence of microorganisms. The mathematical model obtained as a result of these assumptions is transformed into nonlinear ordinary differential equations for which acceptable solutions are obtained using the numerical method. The results thus obtained are presented graphically and based on the outcomes, it is perceived that the magnetic field has control over the velocity profile thus influencing the thermal profile. The increase in the Williamson parameter also reduces the velocity of the fluid flow. Further, an increase was noticed in the thermal and concentration profiles of the nanofluid for higher values of thermophoresis parameter and the increase in the porosity reduced the speed of the flow of nanofluid. 2023 World Scientific Publishing Company.
Puneeth V.; Manjunatha S.; Anwar M.S.; Oreijah M.; Geudri K.; Bafakeeh O.T.; Galal A.M.
Journal of Computational Biophysics and Chemistry, Vol-22, No. 3, pp. 309-319.
Puneeth V., Department of Computational Sciences, CHRIST (Deemed to be University), Ghaziabad, 201003, India; Manjunatha S., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, 560074, India; Anwar M.S., Department of Mathematics, University of Jhang, Jhang, 35200, Pakistan; Oreijah M., Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah, 21955, Saudi Arabia; Geudri K., Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah, 21955, Saudi Arabia, Research Unity: Materials, Energy and Renewable Energies, Faculty of Science of Gafsa, University of Gafsa, Gafsa, 2100, Tunisia; Bafakeeh O.T., Department of Industrial Engineering, Jazan University, Jazan, 82822, Saudi Arabia; Galal A.M., Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser, 11991, Saudi Arabia, Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P.O. Box 35516, Mansoura, Egypt
Perspective of multiple slips on 3D flow of Al2O3TiO2CuO/H2O ternary nanofluid past an extending surface due to non-linear thermal radiation
mixed convection; non-linear radiation; slip flow; Ternary nanofluid; uniform heat source sink
A mathematical model is constructed under the slip flow of a Newtonian fluid based on certain assumptions. Such a mathematical model of ternary nanofluid flow is handled by invoking similarity solutions for governing equations. The obtained system of nonlinear equations is solved numerically by utilizing the fourth-fifth order RungeKutta-Fehlberg method. The consequences of distinguished parameters on fluid flow are analyzed in detail through the plotted graphic visuals. Physical quantities such as Nusselt number and skin-fraction coefficient are considered numerically by tables. The results indicated that the mixed convection parameter favors the flow whereas the x-direction velocity slip reduces the velocity. Furthermore, it is observed that the temperature of the nanofluid is increased for the higher values of radiation. The presence of a heat source enhances the temperature and that of a heat sink diminishes the temperature. It is found that the heat conduction capability is more in ternary nanofluid than the hybrid and monophase nanofluids. 2022 Informa UK Limited, trading as Taylor & Francis Group.
Puneeth V.; Manjunatha S.; Ganesh Kumar K.; Gnaneswara Reddy M.
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, India; Manjunatha S., Department of Sciences and Humanities, CHRIST (Deemed to be University), Karnataka, Bangalore, India; Ganesh Kumar K., Department of Mathematics, Acharya Nagarjuna University, Andhra Pradesh, Ongole, India; Gnaneswara Reddy M., Department of Mathematics, Acharya Nagarjuna University, Andhra Pradesh, Ongole, India
Quartic autocatalysis of homogeneous and heterogeneous reactions in the bioconvective flow of radiating micropolar nanofluid between parallel plates
Chebyshev Collocation method; gyrotactic microorganisms; Lie group analysis; micropolar nanofluid; quartic autocatalysis; successive linearization method
This study deals with the quartic autocatalysis of homogeneousheterogeneous chemical reaction that occurs in the bioconvective flow of micropolar nanofluid between two horizontally parallel plates. The quartic autocatalysis is found to be more effective than cubic autocatalysis since the concentration of the homogeneous species is substantially high. The upper plate is assumed to be in motion and the lower plate is kept stationary. Such a flow of micropolar fluid finds application in the pharmaceutical industry, microbial enhanced oil recovery, hydrodynamical machines, chemical processing,and so forth. The governing equations for this flow are in the form of the partial differential equation and their corresponding similarity transformation is obtained through Lie group analysis. The governing equations are further transformed to coupled nonlinear differential equations that are linearized through the Successive linearization method and are solved using the Chebyshev Collocation method. The effects of various parameters, such as micropolar coupling parameter, spin gradient parameter, reaction rates, and so forth, are analyzed. It is observed that the fluid flows with a greater velocity away from the channel walls, whereasnear the channel walls the velocity decreases with an increase in the coupling parameter. Furthermore, the spin parameter increases the spin gradient viscosity that reduces the microrotation of particles that further decreases the microrotation profile. 2021 Wiley Periodicals LLC
Puneeth V.; Manjunatha S.; Gireesha B.J.
Heat Transfer, Vol-50, No. 6, pp. 5925-5950.
https://doi.org/10.1002/htj.22156 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104625680&doi=10.1002%2fhtj.22156&partnerID=40&md5=7e29f3fb2e576863c211811295d7aa5a
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Manjunatha S., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Gireesha B.J., Department of Studies and Research in Mathematics, Kuvempu University, Shimoga, Karnataka, India
Bioconvection in buoyancy induced flow of Williamson nanofluid over a Riga Plate-DTM-Padapproach
Differential Transform Method; Gyrotactic Microorganisms; Induced Magnetic Field; Lie Group Analysis; Riga Plate; Williamson Nanofluid
The buoyancy induced flow of Williamson nanofluid containing Gyrotactic microorganisms along a vertical Riga plate has been investigated. This research aims at analysing the heat and mass transfer characteristics of Williamson Nanofluid in the presence of Gyrotactic microorganisms that helps in avoiding the agglomeration of nanoparticles during the nanofluid flow. The Gyrotactic microorganisms act as active mixers that help in stabilising the nanoparticles in the suspension. Also, the movement of these cells gives rise to a macro phenomenon called bioconvection that helps in preventing the agglomeration of nanoparticles. Furthermore, the magnetic field generated due to the flow of nanofluid is considered in addition to Thermophoresis and Brownian Motion to make the results more appropriate. Buongiornos Model has been incorporated to frame the system of equations that govern the fluid flow. Later, lie group analysis is performed to transform these equations into ordinary differential equations that are further solved using the differential transform method with Padapproximant. It is observed that the Lorentz force generated by the Riga plate in parallel to the flow helps in increasing the velocity of the nanofluid. It is also noticed that bioconvection reduces the flow speed and enhances the heat transfer rate. 2020 by American Scientific Publishers All rights reserved.
Journal of Nanofluids, Vol-9, No. 4, pp. 269-281.
https://doi.org/10.1166/JON.2020.1760 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85112526215&doi=10.1166%2fJON.2020.1760&partnerID=40&md5=b46c8a4411f4340dde8339601edfc1dc
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560029, India; Manjunatha S., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, 560074, India; Gireesha B.J., Department of Studies and Research in Mathematics, Kuvempu University, Shimogga, 577451, India
Magneto convective flow of casson nanofluid due to Stefan blowing in the presence of bio-active mixers
Brownian motion; casson nanofluid; Gyrotactic microorganisms; induced magnetic field; Stefan blowing; thermophoresis
The induced magnetic field for three-dimensional bio-convective flow of Casson nanofluid containing gyrotactic microorganisms along a vertical stretching sheet is investigated. The movement of these microorganisms cause bioconvection and they act as bio-active mixers that help in stabilising the nanoparticles in the suspension. The two forces, Thermophoresis and Brownian motion are incorporated in the Mathematical model along with Stefan blowing. The resulting model is transformed to ordinary differential equations using similarity transformations and are solved using (Formula presented.) method. The Velocity, Induced Magnetic field, Temperature, Concentration of Nanoparticles, and Motile density profiles are interpreted graphically. It is observed that the Casson parameter decreases the flow velocity and enhances the temperature, concentration, and motile density profiles and also it is noticed that the blowing enhances the nanofluid profiles whereas, suction diminishes the nanofluid profiles. On the other hand, it is perceived that the rate of heat conduction is enhanced with Thermophoresis and Brownian motion. IMechE 2021.
Puneeth V.; Manjunatha S.; Gireesha B.J.; Gorla R.S.R.
Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems, Vol-235, No. 45750, pp. 83-95.
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Manjunatha S., School of Engineering, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Gireesha B.J., Department of Studies and Research in Mathematics, Kuvempu University, Shimogga, Karnataka, India; Gorla R.S.R., Department of Aeronautics and Astronautics, Air Force Institute of Technology, Wright-Patterson Air Force Base, OH, United States
The three-dimensional bioconvective flow of Sisko nanofluid under Robin's conditions
Brownian motion; Gyrotactic microorganisms; Robin's conditions; Sisko nanofluid; thermophoresis
The proposed model investigates three-dimensional bioconvective Sisko nanofluid flow under Robin's conditions. The Sisko nanofluid has versatile implications in drilling fluids, cement slurries, waterborne coatings, and so on. Furthermore, the inclusion of gyrotactic microorganisms prevents the deposition and agglomeration of the nanoparticles in the base fluid. Buongiorno's model is included to explore the behavior of Brownian motion and thermophoretic factors. The energy and mass transmissions along with the gyrotactic microorganism density are illustrated by the partial differential expression system with Robin's conditions. These are further reframed into an ordinary differential equation system with the aid of similarity transformation. The developing model is tackled by using the MAPLE inbuilt package BVP. The nanofluid acts as a goodcooling agent for higher values of the thermophoresis parameter. Furthermore, the pseudoplastic nanofluid performs better than the dilatant nanofluid. The developed model is very useful in energy production and engineering products. 2021 Wiley Periodicals LLC
Puneeth V.; Manjunatha S.; Gireesha B.J.; Shehzad S.A.
Heat Transfer, Vol-50, No. 8, pp. 7632-7653.
https://doi.org/10.1002/htj.22246 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85109664735&doi=10.1002%2fhtj.22246&partnerID=40&md5=1857b2bda6d3590a3dfa35d4c2203138
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Manjunatha S., Department of Sciences and Humanities, School of Engineering, CHRIST (Deemed to be University), Bengaluru, Karnataka, India; Gireesha B.J., Department of Studies and Research in Mathematics, Kuvempu University, Shimoga, Karnataka, India; Shehzad S.A., Department of Mathematics, COMSATS University Islamabad, Sahiwal, Pakistan
Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno's model aspects
Brownian motion; Casson hybrid nanofluid; Mixed convection; Modified Boungiorno's model; Thermophoresis
The purpose of this study is to determine the role of mixed convection, Brownian motion, and thermophoresis in the dynamics of Casson hybrid nanofluid in a bidirectional nonlinear stretching sheet. For the flow model, a combination of Tiwari and Das models, as well as Buongiornos model, is considered. The thermophysical characteristics of Gr, TiO2, and blood are employed. With the assistance of relevant similarity transformation, the describing flow equations of a Casson hybrid nanofluid model are reformed in the form of a system with a single independent variable. The solution for these equations is obtained using the RKF-45 approach. The velocity, temperature, and concentration fields are visually developed for both linear and non-linear stretching sheets, and the implications of the major parameters are presented in detail. It is clear from the current investigation that heat and mass transfer characteristics of fluid are better in the case of linear stretching than non-linear stretching. Furthermore, the mixed convection parameter is found to enhance the fluid flow velocity. However, the trend is quite opposite in the thermal and concentration fields. Meanwhile, the increase in the yield stress caused due to the rise in the Casson parameter decreases the flow velocity. 2021 Elsevier Ltd
Puneeth V.; Manjunatha S.; Madhukesh J.K.; Ramesh G.K.
https://doi.org/10.1016/j.chaos.2021.111428 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85116074732&doi=10.1016%2fj.chaos.2021.111428&partnerID=40&md5=faf9463fda77dc3331c82df5a891ac33
Puneeth V., Department of Mathematics, CHRIST(Deemed to be University), Bangalore, 560029, India; Manjunatha S., Department of Sciences and Humanities, CHRIST(Deemed to be University), Bangalore, 560074, India; Madhukesh J.K., Department of Mathematics, Davangere University, Davangere, 577002, Karnataka, India; Ramesh G.K., Department of Mathematics, K.L.E Societys J.T. College, Gadag, 582101, Karnataka, India
Bioconvection of a radiating hybrid nanofluid past a thin needle in the presence of heterogeneous-homogeneous chemical reaction
Gyrotactic microorganisms; Magnetic field; Quartic autocatalysis; Radiating hybrid nanofluid; Thin needle
The photocatalytic nature of TiO2 finds applications in medicinal field to kill cancer cells, bacteria, and viruses under mild ultraviolet illumination and the antibacterial characteristic of Ag makes the composition Ag - TiO2 applicable for various purposes. It can also be used in other engineering appliances and industries such as humidity sensor, coolants, and in footwear industry. Hence, this study deals with the analysis of the effects of magnetic field, thermal radiation, and quartic autocatalysis of heterogeneous-homogeneous reaction in an electrically conducting Ag - TiO2 - H2O hybrid nanofluid. Furthermore, the gyrotactic microorganisms are used as active mixers to prevent agglomeration and sedimentation of TiO2 that occurs due to its hydrophobic nature. The mathematical model takes the form of partial differential equations with viscosity and thermal conductivity being the functions of volume fraction. These equations are converted to ordinary differential equations by using similarity transformation and are solved by RKF-45 method with the aid of shooting method. It is observed that the increase in the size of the needle enhances the overall performance of the hybrid nanofluid. Furthermore, the temperature of the hybrid nanofluid increases with the increase in volume fraction. It is observed that the friction produced by the Lorentz force increases the temperature of the nanofluid. It is further observed that the heterogeneous reaction parameter has more significant effect on the concentration of bulk fluid than the homogeneous reaction parameter. Copyright 2021 by ASME.
Puneeth V.; Manjunatha S.; Makinde O.D.; Gireesha B.J.
Journal of Heat Transfer, Vol-143, No. 4
American Society of Mechanical Engineers (ASME)
https://doi.org/10.1115/1.4049844 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104630645&doi=10.1115%2f1.4049844&partnerID=40&md5=22ddb00683c9deeb15557573c754da82
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560074, Karnataka, India; Manjunatha S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560074, Karnataka, India; Makinde O.D., Faculty of Military Science, Stellenbosch University, Saldanha, 7395, South Africa; Gireesha B.J., Department of Studies and Research Mathematics, Kuvempu University, Shimogga, 577451, Karnataka, India
Numerical simulation of JeffreyHamel flow of nanofluid in the presence of gyrotactic microorganisms
Bioconvection; Buongiorno's model; gyrotactic microorganisms; JeffreyHamel flow; non-parallel walls
The nonlinear differential equations play a prominent role in mathematically describing many phenomena that occur in our world. A similar set of equations appear in this paper that govern the nanofluid flow between two non-parallel walls in the presence of gyrotactic microorganisms that are responsible for bioconvection. These microorganisms ensure the safety of the appliance by avoiding the accumulation of nanoparticles and the movement of these nanoparticles within the fluid experiences major slip mechanisms as discussed by Buongiorno. Further, the orientation of the channel is described by the parameter ? and based on this parameter, the channel is said to be converging if (Formula presented.) and the channel is diverging if (Formula presented.). The case when (Formula presented.) corresponds to a channel with parallel walls, hence this case is ignored. Following these assumptions, the set of governing equations thus formed are made dimensionless and further solved by the Differential Transformation Method (DTM) and the outcomes are discussed through graphs. The analysis is performed for both converging and diverging orientations of the channel. The results indicate that the temperature and the concentration profiles increase with the increase in Brownian motion parameters in both divergent and convergent channels. Meanwhile, the increase in Reynolds number decreases the temperature of the nanofluid. Through the simulation, it was observed that the heat flow is taking place along the isothermal planes in the case of the diverging channel but it was uniform in the domain of the converging channel. 2021 Informa UK Limited, trading as Taylor & Francis Group.
Puneeth V.; Narayan S.S.; Manjunatha S.; Makinde O.D.
International Journal of Ambient Energy, Vol-43, No. 1, pp. 6095-6107.
Puneeth V., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India; Narayan S.S., Department of Mathematics, CMR Institute of Technology, Bengaluru, India; Manjunatha S., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bengaluru, India; Makinde O.D., Faculty of Military Science, Stellenbosch University, Saldanha, South Africa
FAMILY OF CONGRUENCES FOR (2, ?)?REGULAR BIPARTITION TRIPLES
Bipartition Triples; Congruences; Integer partitions; q?series
Though congruences have their limitations, they have significant importance in the field of number theory and helps in proving many interesting results. Thus, this article has adopted the technique and properties of congruences to identify and prove a set of congruent properties for integer partition. The partition of a positive integer is a way of expressing the number as a sum of positive integers. One such partitions known as regular bipartition triple are discussed in this article. New congruences modulo even integers and modulo prime (p ? 5) powers are derived for (2, ?)?regular bipartition triples. Also infinite families of congruences modulo 2 for some (2, ?)?regular bipartition triples are derived. The theorems stated in this article are proved using the q?series notation and some of the prominent results such as Eulers pentagonal number theorem and Jacobis triple product identities. There are certain lemmas which are derived using these results that help in proving the major results of this article. 2022, RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES. All rights reserved.
South East Asian Journal of Mathematics and Mathematical Sciences, Vol-18, No. 3, pp. 1-14.
RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES
https://doi.org/10.56827/SEAJMMS.2022.1803.1 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85165894676&doi=10.56827%2fSEAJMMS.2022.1803.1&partnerID=40&md5=92c2bf760d05d1daccdbc8f5b4edcf70
Puneeth V., Department of Computational Sciences, CHRIST University, Bengaluru, 560029, India; Roy A., Department of Sciences and Humanities, CHRIST University, Bengaluru, 560029, India