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Dynamics of Sutterby fluid flow due to a spinning stretching disk with non-Fourier/Fick heat and mass flux models
The magnetohydrodynamic Sutterby fluid flow instigated by a spinning stretchable disk is modeled in this study. The Stefan blowing and heat and mass flux aspects are incorporated in the thermal phenomenon. The conventional models for heat and mass flux, i.e., Fourier and Fick models, are modified using the Cattaneo-Christov (CC) model for the more accurate modeling of the process. The boundary layer equations that govern this problem are solved using the apt similarity variables. The subsequent system of equations is tackled by the Runge-Kutta-Fehlberg (RKF) scheme. The graphical visualizations of the results are discussed with the physical significance. The rates of mass and heat transmission are evaluated for the augmentation in the pertinent parameters. The Stefan blowing leads to more species diffusion which in turn increases the concentration field of the fluid. The external magnetism is observed to decrease the velocity field. Also, more thermal relaxation leads to a lower thermal field which is due to the increased time required to transfer the heat among fluid particles. The heat transport is enhanced by the stretching of the rotating disk. 2021, Shanghai University. -
Dynamics of Sustainable Economic Growth in Emerging Middle Power Economies: Does Institutional Quality Matter?
The present study investigates the relevance of Institutional structures quality as a determinant of the GDP of the Emerging Middle Power Economies (MIKTA) which constitute predominantly middle-income countries, namely Mexico, South Korea, Indonesia, Turkey, and Australia over the timeframe of 19852016. In addition to institutional variables such as Government Stability, Bureaucratic Quality and Socioeconomic Conditions, the study uses productive factors (per worker capital, human capital) and a macroeconomic indicator (inflation) to show the GDP of the above-mentioned countries. The impact that institutional variables taken have on Efficient Environmental resources, Sustainability and their management has shown to have an impact on the rate of growth of the middle-income economies. To estimate a long-run relation, the study employs the Autoregressive Distributed Lag model, also known as the ARDL model, bringing in controls for cointegration, nonstationary, heterogeneity and cross-sectional dependency and accounts for a mixed order of integration of variables. The model indicates that capital per worker, socio-economic conditions, bureaucratic quality, human capital and inflation have a long-run effect on the GDP of a country. The paper concludes with a positive impact of institutional variables during both, the short-run and the long-run, for the de-pendent variable. The Author(s), under exclusive license to Springer Nature Switzerland AG. 2024. -
Dynamics of Socio-economic Factors in Shaping Fertility Rates in Manipur: A Robust Poisson Regression Framework Using NFHS-5 Data
This study utilizes Poisson regression to examine the total number of children ever born for all the surveyed women in Manipur, using data from the NFHS-5. Poisson regression is well-suited for modeling count data, such as fertility outcomes, due to its ability to handle discrete, non-negative variables. The model incorporates robust standard errors to deal with violations of the assumptions typically associated with Poisson models, such as under or over dispersion and heteroscedasticity in the residuals. Findings indicate that lower levels of education, age at first child, and limited health literacy are some of the significant predictors of higher birth rates. Furthermore, women from specific religious communities and economically disadvantaged backgrounds are likely to have more children, probably due to restricted access to family planning resources and healthcare services. These findings highlight the value for targeted policy interventions that prioritize improving womens educational opportunities and health literacy. Such strategies are essential for effectively managing fertility rates in Manipur and are in line with national sustainable development goals focused on health and education improvements. The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025. -
Dynamics of public debt sustainability in major Indian states
This study empirically tests whether the public debt is sustainable or not at 22 major Indian states during 200607 to 201516. It employs the Bohn model for panel data, five alternative specifications and p-spline technique to analyze the issue at aggregate and disaggregate levels. While the results indicate that the debt is sustainable at the aggregate level, it is sustainable only in about 11 states. The results suggest that the fiscal reaction function is linear and the central grant-in aid is an important and a significant undermining factor of sustainability. If the grant-in-aid is excluded from the primary balance, there remain significant positive responses at the aggregate level. However, at the disaggregate level it is significant in only 11 states. Further, the most sustainable states fail to meet the no-Ponzi condition and so the policy intervention is required to improve the debt situation of the states where debt is unsustainable. 2019, 2019 Informa UK Limited, trading as Taylor & Francis Group. -
Dynamics of Newtonian Fluids and Nanofluids in Various Geometries
In this thesis, the boundary-layer flows of Newtonian fluids in different geometries newlineprimarily, a horizontal surface and a vertical surface. To account for the imperfections arising in realistic scenarios, we have considered a horizontal surface with undulations and a vertical surface with a non-uniform temperature distribution. Additionally, it is wellknown that to meet the cooling rate requirements in the industry, the thermal performance of ordinary heat transfer fluids is not suitable. The concept of insertion of nanometresized metallic particles in the fluid leads to an increase in the thermal conductivity of the newlineordinary base liquids. Therefore, to fully comprehend the affect of these nanoparticles on the onset of convection and fluid motions and to assess how the enhanced thermophysical newlineproperties may affect the heat transfer is another key objective of this research. newlineA Comparative Study of Thermo-convective Flows of a Newtonian Fluid over Three newlineHorizontal Undulated Surfaces in a Porous Medium In the first problem of this thesis, elaborated in Chapter 5, a comparison has been presented between the results of three thermoconvective flows of a Newtonian fluid over uniformly heated, undulated horizontal surfaces in a porous medium against the background of the results of a flat plate. The undulations are assumed to have sinusoidal, sawtooth, and triangular waveforms. At large surface amplitudes, secondary flow is observed in the cases newlineof sinusoidal and triangular waveforms, but not in the cases of a sawtooth surface and a newlineflat plate. The variation of the mean Nusselt number and mean skin friction with surface newlineamplitude and the Rayleigh number indicate that heat transfer and viscous friction at the boundary increase with individual and collective increases in the values of the amplitude and the Rayleigh number. The heat transfer and skin friction by the flat surface are much less than that of all three undulated surfaces. -
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Dynamics of motivation in online education: Theories,techniques, and mediating factors
Online education is a process where learners encompass various subject areas, disciplines, and degree programs via an internet connection rather than in person. Online learning has become an essential part of delivering flexibility in education. The objective of the book chapter is to create and improve the motivational environment during online classes. It guides students who lack the motivation to achieve their degrees and educational objectives through online education. Students often need more motivation to succeed in the online and face-to-face teaching process. This chapter will focus on identifying the motivational factors, including intrinsic and extrinsic, that are essential for improving students' participation in online education which enables them to understand the importance and necessity of motivation for achieving their goals and desired degrees in any mode of instruction. This chapter will provide them techniques and technology that researchers have proved to be effective and improve the self-motivation factor for students to succeed in all modalities. 2023, IGI Global. All rights reserved. -
Dynamics of magneto-nano third-grade fluid with brownian motion and thermophoresis effects in the pressure type die
The non-transient dynamics of the non-Newtonian third-grade liquid driven by pressure type die in the presence of nanoparticles is studied. The fluid is dissipating and its properties are taken as unvarying. The governing partial differential equations system is developed and they are numerically solved after non-dimensionalization. The significance of pertinent parameters on flow fields is analyzed and discussed. The thermal field shows dual behaviour in the flow domain due to the impact of magnetism, Brownian motion and thermophoresis. 2019 by American Scientific Publishers All rights reserved. -
Dynamics of Indian stock market integration with global stock markets /
Asian Journal Of Management, Vol.8, Issue 3, pp.559-568, ISSN: 2321-5763 (Online) 0976-9495X (Print). -
Dynamics of fractional model of biological pest control in tea plants with beddingtondeangelis functional response
In this study, we depicted the spread of pests in tea plants and their control by biological enemies in the frame of a fractional-order model, and its dynamics are surveyed in terms of boundedness, uniqueness, and the existence of the solutions. To reduce the harm to the tea plant, a harvesting term is introduced into the equation that estimates the growth of tea leaves. We analyzed various points of equilibrium of the projected model and derived the conditions for the stability of these equilibrium points. The complex nature is examined by changing the values of various parameters and fractional derivatives. Numerical computations are conducted to strengthen the theoretical findings. 2021 by the authors. Licensee MDPI, Basel, Switzerland. -
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Dynamics of chaotic waterwheel model with the asymmetric flow within the frame of Caputo fractional operator
The chaotic waterwheel model is a mechanical model that exhibits chaos and is also a practical system that justifies the Lorenz system. The chaotic waterwheel model (or Malkus waterwheel model) is modified with the addition of asymmetric water inflow to the system. The hereditary property of the modified chaotic waterwheel model is analyzed to determine the system's stability and identify the parameter that contributes to the stability We also examine the factor that leads to the bifurcation. We determine the well-posed nature of the modified system. The modified chaotic waterwheel model is defined with the Caputo fractional operator. The existence and uniqueness, boundedness, stability, Lyapunov stability, and numerical simulation are studied for the modified fractional waterwheel model. The bifurcation parameter and Lyapunov exponent are examined to study the chaotic nature of the system with respect to the fractional order. The nature of the system is captured with the help of the efficient numerical approach AdamsBashforthMoulton Method. The numerical approach demonstrates that the chaotic nature of the modified chaotic waterwheel is changed into unstable nature, which could further reduce to the stable case with suitable values of the parameter. This analysis is justified with the help of Lyapunov exponent. We consider irrational order (?,e) in the present work to illustrate the reliability of fractional order. 2023 Elsevier Ltd -
Dynamics of a fractional epidemiological model with disease infection in both the populations
In order to depict a situation of possible spread of infection from prey to predator, a fractional-order model is developed and its dynamics is surveyed in terms of boundedness, uniqueness, and existence of the solutions. We introduce several threshold parameters to analyze various points of equilibrium of the projected model, and in terms of these threshold parameters, we have derived some conditions for the stability of these equilibrium points. Global stability of axial, predator-extinct, and disease-free equilibrium points are investigated. Novelty of this model is that fractional derivative is incorporated in a system where susceptible predators get the infection from preys while predating as well as from infected predators and both infected preys and predators do not reproduce. The occurrences of transcritical bifurcation for the proposed model are investigated. By finding the basic reproduction number, we have investigated whether the disease will become prevalent in the environment. We have shown that the predation of more number of diseased preys allows us to eliminate the disease from the environment, otherwise the disease would have remained endemic within the prey population. We notice that the fractional-order derivative has a balancing impact and it assists in administering the co-existence among susceptible prey, infected prey, susceptible predator, and infected predator populations. Numerical computations are conducted to strengthen the theoretical findings. 2021 Author(s). -
Dynamical analysis of fractional yellow fever virus model with efficient numerical approach
In this paper, we have projected the theoretical and numerical investigation of the mathematical model representing the yellow fever virus transmission from infected mosquitoes to humans or vise-versa through mosquito bites in the framework of the Caputo derivative. Theoretical aspects of the dynamics of susceptible individuals, exposed individuals, infected individuals, toxic infected individuals, recovered and immune individuals, and susceptible mosquitoes and infected mosquitoes have been analyzed by using the theory of fractional calculus such as boundedness, uniqueness and existence of the solutions. Sufficient conditions for the global stability of the virus-free point of equilibrium are inspected. T validate the theoretical results numerical analysis is performed using the generalized Adams-Bashforth-Moultan method. 2023, Eudoxus Press, LLC. All rights reserved. -
Dynamical analysis of a model of social behavior: Criminal vs non-criminal population
In this paper, we construct a model motivated by the well known predator-prey model to study the interaction between criminal population and non-criminal population. Our aim is to study various possibilities of interactions between them. First we model it using simple predator-prey model, then we modify it by considering the logistic growth of non-criminal population. We clearly deduce that the model with logistic growth is better than classical one. More precisely, the role of carrying capacity on the dynamics of criminal minded population is discussed. Further, we incorporate law enforcement term in the model and study its effect. The result obtained suggest that by incorporating enforcement law, the criminal population reduces from the very beginning, which resembles with real life situation. Our result indicates that the criminal minded population exist as long as coefficient of enforcement lc does not cross a threshold value and after this value the criminal minded population extinct. In addition, we also discuss the occurrence of saddle-node bifurcation in case of model system with law enforcement. Numerical examples and simulations are presented to illustrate the obtained results. 2017 Elsevier Ltd -
Dynamical analysis fractional-order financial system using efficient numerical methods
The motivation of this work is to analyse the nonlinear models and their complex nature with generalized tools associated with material and history-based properties. With the help of well-known and widely used numerical scheme, we study the stimulating behaviours of the financial system in this work. The impact of parameters on price index, rate of interest, investment demand, influence changes and investment cost with respect to saving amount, and the elasticity of commercial markets demand are discussed. The consequences of generalizing the model within the arbitrary order are derived. The existence of the solution for the considered system is presented. This study helps beginner researchers to investigate complex real-world problems and predict the corresponding consequences. 2023 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. -
Dynamic vibrational analysis on areca sheath fibre reinforced bio composites by fast fourier analysis
Natural fibre reinforced bio composites [6] are good alternative for conventional materials. Natural fibres are cheaper in cost, environmental friendly and biodegradable. In this project work the effect of varying fibre length is studied and Fast Fourier Technique is used for the analysis of dynamic frequency response. The naturally extracted areca sheath fibres are used as a reinforcement and epoxy L - 12 is used as polymer matrix. Fabrication is done by using hand lay-up method and compression molding technique at 100 - 110 bar pressure and 140 - 150C temperature. Each specimen is cured for 24 h and then test specimens were cut according to ASTM standards i.e., 150 X 150 mm in length and breadth. The dynamic frequency response of specimens with varying fibre length of 29, 27 and 25 mm and thickness 4, 3.5 and 2 mm is obtained by modal analysis. Finite Element Analysis for all specimens is carried out by ANSYS 14.5 and results are compared with the experimental values. These natural areca fibre reinforced polymer matrix composites are defined for particular applications based up on the mechanical and vibrational characteristics obtain from the experimental results. 2018 Elsevier Ltd. All rights reserved. -
Dynamic task distribution model for on-chip reconfigurable high speed computing system
Modern embedded systems are being modeled as Reconfigurable High Speed Computing System (RHSCS) where Reconfigurable Hardware, that is, Field Programmable Gate Array (FPGA), and softcore processors configured on FPGA act as computing elements. As system complexity increases, efficient task distribution methodologies are essential to obtain high performance. A dynamic task distribution methodology based on Minimum Laxity First (MLF) policy (DTD-MLF) distributes the tasks of an application dynamically onto RHSCS and utilizes available RHSCS resources effectively. The DTD-MLF methodology takes the advantage of runtime design parameters of an application represented as DAG and considers the attributes of tasks in DAG and computing resources to distribute the tasks of an application onto RHSCS. In this paper, we have described the DTD-MLF model and verified its effectiveness by distributing some of real life benchmark applications onto RHSCS configured on Virtex-5 FPGA device. Some benchmark applications are represented as DAG and are distributed to the resources of RHSCS based on DTD-MLF model. The performance of the MLF based dynamic task distribution methodology is compared with static task distribution methodology. The comparison shows that the dynamic task distribution model with MLF criteria outperforms the static task distribution techniques in terms of schedule length and effective utilization of available RHSCS resources. 2015 Mahendra Vucha and Arvind Rajawat. -
Dynamic stress concentrations in piezoelectric materials with semi-elliptical surface notches under shear horizontal waves
Dynamic loading causes high stress concentrations at surface notches, which are further aggravated by piezoelectric effects. This research presents a novel semi-analytical technique for studying dynamic stress concentrations in semi-elliptical surface notches in piezoelectric materials subjected to shear horizontal (SH) wave incidence. The mirror technique is employed to apply traction-free and electrically insulating boundary conditions, converting the half-space problem into its analogous full-space form. Mathieu functions and elliptical coordinate system are adopted to model the geometry of the semi-elliptical notch accurately. By separating the governing equations, the potential function is obtained, and boundary conditions are applied to construct an infinite set of linear algebraic equations. To ensure reliability of the solution, a truncation scheme based on Mathieu function convergence behavior is proposed before solving the system. Numerical simulations are performed with a thorough parametric study to reveal the effects of important parameters like the incidence angle of waves, wave frequency, notch depth, and piezoelectric material characteristics on the behavior of scattered wave fields and dynamic stress concentrations. The presented model enjoys wide geometric applicability, provides necessary theoretical guidelines for the design of piezoelectric elements and serves as a baseline for the validation of computational approximations. The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2025. -
Dynamic stress analysis of semi-elliptical notches in PZT media under SH wave interaction using Mathieu functions
This work develops a rigorous analytical framework to examine the scattering behavior and dynamic stress response of semi-elliptical notches in piezoelectric half-planes subjected to anti-plane shear (SH) waves. The framework unifies the treatment of cracks, circular holes, and notches within a consistent wavedefect interaction model, while explicitly incorporating piezoelectric coupling and nanoscale surface/interface effects. The analysis employs the complex function method in combination with the Helmholtz equation and wavefield superposition theory, resulting in an infinite system of equations that rigorously enforces continuity and boundary conditions. A systematic truncation scheme is then applied to ensure stable and convergent solutions. The results reveal that surface/interface effects play a crucial role in suppressing the dynamic stress concentration factor (DSCF), particularly under vertical SH-wave excitation, while sharper resonance peaks emerge at low modulus ratios and higher piezoelectric constants, such as PZT-5H and BaTiO?. In the absence of piezoelectric coupling, the formulation seamlessly reduces to classical elasticity, ensuring strong theoretical consistency. Validation is achieved through recovery of benchmark solutions (semicircular notch and edge crack), graphical comparisons with prior results, and the rapid convergence of the truncated system, confirming the models accuracy and robustness. The findings hold significant implications for structural health monitoring, non-destructive evaluation, and the design of advanced piezoelectric composites, where accurate prediction of stress amplification and defect evolution is essential. Although the present study focuses on semi-elliptical notches in half-plane geometries under SH-wave loading, the approach can be readily extended to more general defect shapes and mixed-mode disturbances. The novelty of this work lies in capturing piezoelectric surface/interface effects within an exact analytical framework, thereby enhancing predictive capability for defect-induced stress concentrations and providing a reliable basis for the design and durability assessment of high-performance piezoelectric materials. The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2025.