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                <text>Lignocellulosic biomass for biochar production: A green initiative on biowaste conversion for pharmaceutical and other emerging pollutant removal</text>
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                <text>Biochar; Biowaste; Functionalization; Lignocellulose; Nano adsorbents; Wastewater treatment</text>
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                <text>Lignocellulosic waste generation and their improper disposal has accelerated the problems associated with increased greenhouse gas emissions and associated environmental pollution. Constructive ways to manage and mitigate the pollution associated with lignocellulosic waste has propelled the research on biochar production using lignocellulose-based substrates. The sustainability of various biochar production technologies in employing lignocellulosic biomass as feedstock for biochar production not only aids in the lignocellulosic biomass valorization but also helps in carbon neutralization and carbon utilization. Functionalization of biochar through various physicochemical methods helps in improving their functional properties majorly by reducing the size of the biochar particles to nanoscale and modifying their surface properties. The usage of engineered biochar as nano adsorbents for environmental applications like dye absorption, removal of organic pollutants and endocrine disrupting compounds from wastewater has been the thrust areas of research in the past few decades. This review presents a comprehensive outlook on the up-to-date research findings related to the production and engineering of biochar from lignocellulosic biomass and their applications in environmental remediation especially with respect to wastewater treatment. Further a detailed discussion on various biochar activation methods and the future scope of biochar research is presented in this review work.  2024 Elsevier Ltd</text>
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                <text>Kumar V.; Sharma N.; Panneerselvam B.; Dasarahally Huligowda L.K.; Umesh M.; Gupta M.; Muzammil K.; Zahrani Y.; Malmutheibi M.</text>
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                <text>Chemosphere, Vol-360</text>
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                <text>&lt;a href="https://doi.org/10.1016/j.chemosphere.2024.142312" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1016/j.chemosphere.2024.142312&lt;/a&gt;
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                <text>Kumar V., Biomaterials and Tissue Engineering (BITE) Laboratory, Department of Community Medicine, Saveetha Medical College and Hospital, Saveetha Institute of Medical and Technical Sciences (SIMATS), Thandalam, Chennai, 602105, India; Sharma N., Department of Biochemistry, Saveetha Medical College and Hospital, Saveetha Institute of Medical and Technical Sciences (SIMATS), Thandalam, Chennai, 602105, India; Panneerselvam B., Center of Excellence in Interdisciplinary Research for Sustainable Development, Chulalongkorn University, Bangkok, 10330, Thailand, Department of Community Medicine, Saveetha Medical College, SIMATS, Chennai, 602105, India; Dasarahally Huligowda L.K., Department of Biosciences and Bioengineering, Indian Institute of Technology Roorkee, Uttarakhand, Roorkee, 247667, India; Umesh M., Department of Life Sciences, CHRIST (Deemed to be University), Karnataka, Bengaluru, 560029, India; Gupta M., Chitkara Centre for Research and Development, Chitkara University, Himachal Pradesh, 174103, India; Muzammil K., Department of Public Health, College of Applied Medical Sciences, Khamis Mushait Campus, King Khalid University, Abha, 62561, Saudi Arabia; Zahrani Y., Department of Public Health, College of Applied Medical Sciences, Khamis Mushait Campus, King Khalid University, Abha, 62561, Saudi Arabia; Malmutheibi M., Department of Public Health, College of Applied Medical Sciences, Khamis Mushait Campus, King Khalid University, Abha, 62561, Saudi Arabia</text>
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                <text>Lilliputians' dilemma: Survival strategies of small states in South Asia</text>
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                <text>One of the most striking features of contemporary international politics is asymmetrical power relations among states. With the birth of the United Nations, the sovereign equality of the states began to be fully respected, at least in principle. During the Cold War, small states gained much importance when superpowers tried to co-opt them. Small states situated in specific geo-strategic areas were seen as 'assets' or 'trouble spots' depending on their ideological leaning. 1 Given the fact that small states constitute majority in terms of numbers in global politics, but at the same time facing numerous politico-security and economic issues, several interesting questions arise. Do small states feel secured in regional and international politics dominated by big and middle powers? What survival strategies do they adopt to secure themselves? How does this translate to South Asian region that is commonly viewed as 'India-dominant'? Do small states of South Asia follow similar or differing strategies to safeguard their security? South Asia offers a right case to look at the issue of survival strategies of small states in regional politics from both theoretical and empirical contexts.  2024 selection and editorial matter, Adluri Subramanyam Raju and R. Srinivasan. All rights reserved.</text>
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                <text>Manoharan N.</text>
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                <text>The Routledge Handbook of South Asia: Region, Security and Connectivity, pp. 131-146.</text>
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                <text>ISBN: 978-100092623-1; 978-103220041-5</text>
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                <text>Manoharan N., Centre for East Asian Studies, Christ University, Bengaluru, India</text>
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                <text>Limaco?n Inspired Particle Swarm Optimization forLarge-Scale Optimization Problem</text>
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                <text>Combinatorial optimization; Evolutionary algorithm; Limaco?n curve; Nature-inspired algorithm</text>
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                <text>Large-scale optimization problems are a complex problem in the class of NP-Hard. These problems are not solvable by traditional methods in a reasonable time. Single machine total weighted tardiness scheduling problem (SMTWTSP) is a complex problem in this category. It has a set of different events with varying criteria that need to be scheduled on one machine. The main aim of this problem is to find the minimum possible total weighted tardiness. Particle swarm optimization (PSO) algorithm has performed admirably in the field of optimization. To solve complex optimization problems, several new variants of this algorithm are being developed since its inception. This work proposed an influential local search (LS) technique inspired by limaco?n curve. The new local search is hybridized with PSO and named Limaco?n inspired PSO (LimPSO) algorithm. The efficiency and accuracy of the designed LimPSO strategy are tested over the large-scale SMTWTS problem, which shows that LimPSO can be considered an effective method for solving the combinatorial optimization problems.  2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.</text>
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                <text>Gupta S.; Kumari R.; Kumar S.</text>
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                <text>Lecture Notes on Data Engineering and Communications Technologies, Vol-111, pp. 917-929.</text>
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                <text>Springer Science and Business Media Deutschland GmbH</text>
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                <text>ISSN: 23674512</text>
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                <text>Gupta S., Career Point University, Kota, India; Kumari R., Department of Computer Science, CHRIST (Deemed to be University), Bangalore, 560029, India; Kumar S., Department of Computer Science and Engineering, CHRIST (Deemed to be University ), Bangalore, 560074, India</text>
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                <text>The concept of super line graph was introduced in the year 1995 by Bagga, Beineke and Varma. Given a graph with at least r edges, the super line graph of index r, Lr(G), has as its vertices the sets of r-edges of G, with two adjacent if there is an edge in one set adjacent to an edge in the other set. The line completion number lc(G) of a graph G is the least positive integer r for which Lr(G) is a complete graph. In this paper, we find the line completion number of grid graph Pn Pm for various cases of n and m.  2021 Azarbaijan Shahid Madani University.</text>
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                <text>Communications in Combinatorics and Optimization, Vol-6, No. 2, pp. 299-313.</text>
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                <text>Azarbaijan Shahid Madani University</text>
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                <text>ISSN: 25382128</text>
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                <text>Kureethara J.V., Department of Mathematics, Christ University, Bengaluru, India; Sebastian M., Department of Mathematics, Christ University, Bengaluru, India</text>
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                <text>Linear and Global Stability Analyses on the Influences of Thermal Non-Equilibrium and Non-uniform Gravity Field on DarcyBrinkmanBard Convection</text>
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              <elementText elementTextId="115879">
                <text>Energy method; Global stability analysis; Linear stability analysis; Local thermal equilibrium; Local thermal non-equilibrium; Subcritical motions; Variable gravity</text>
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                <text>Global and linear stability analyses of DarcyBrinkmanBard convection in a liquid-saturated porous medium with a non-uniform gravity field using the local thermal non-equilibrium (LTNE) model are investigated. Linear and quadratic (parabolic) gravity field profiles are considered in the analysis. The OberbeckBoussinesq approximation is assumed to be a valid and the stationary mode of onset of convection is shown to be the preferred mode due to the validity of the principle of exchange of stabilities. Critical values of wavenumber and thermal Rayleigh number are obtained numerically using the higher-order Galerkin technique. The effect of an increase in the gravity fields strength is to delay the onset of convection, and to a growth in convective cell size. Further, linear convective profile is found to postpone convection compared to the quadratic one. Global stability ensures the existence of subcritical motions in the case of a non-uniform gravity field. In contrast, subcritical motions do not exist in constant gravity in LTE and LTNE situations. A non-uniform gravity field has a significant influence on the convective instability in a liquid-saturated high-porosity medium, lesser influence in the case of a low porosity medium and least in the case of a clear fluid layer.  2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.</text>
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                <text>Siddabasappa C.; Siddheshwar P.G.</text>
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                <text>&lt;a href="https://doi.org/10.1007/s40819-021-01090-7" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1007/s40819-021-01090-7&lt;/a&gt;
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                <text>ISSN: 23495103</text>
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                <text>Siddabasappa C., Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Bangalore, 560 058, India; Siddheshwar P.G., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560 029, India</text>
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                <text>Linear and non linear electroconvection in a micropolar fluid  </text>
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                <text>This thesis presents a theoretical study of linear and non-linear analyses of Rayleigh Bard Marangoni/Rayleigh Bard electro newlineconvection in a micropolar fluid. The effects of non-uniform basic temperature gradient, suction injection combination and gravity newlinemodulation have been studied in the presence of electric field. The effect of heat transfer in a micropolar fluid in the presence of electric field is also studied and results are presented graphically and discussed qualitatively. These problems assume greater importance in geophysics, newlineastrophysics, oceanography, and engineering and in space situations with g-jitter connected with gravity stimulation study. newlineKeeping in mind the importance and relevance of externally controlled internal convection in a micropolar liquid. We deal with four newlineproblems, details of which are given below. newline(i) Effect of non uniform basic temperature gradient on the onset of Rayleigh Bard Marangoni electro convection in a micropolar fluid. The non-uniform temperature gradient finds its origin in the transient heating or cooling at the boundaries and as a result the basic temperature profile depends explicitly on position and time. This has to be determined by solving the coupled momentum and energy equations. This coupling also makes the problem very complicated. In the present study, therefore, we adopt a series of temperature profiles based on a newlinesimplification in the form of a quasi-static approximation that consists of freezing the temperature distribution at a given instant of time. In this method, we assume that the perturbation grows much faster than the newlineinitial state and hence freeze the initial state into some spatial distribution. newlineTherefore the effects of these non-uniform basic temperature gradient and electric field are studied on the onset of Rayleigh Bard Marangoni convection in micropolar fluid.</text>
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                <text>Christ(Deemed to be University)</text>
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                <text>Manjunatha, S and Pranesh, S</text>
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                <text>&lt;a href="http://hdl.handle.net/10603/423322" target="_blank" rel="noreferrer noopener"&gt;http://hdl.handle.net/10603/423322&lt;/a&gt;</text>
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                <text>Linear and non linear electroconvection in a micropolar fluid /</text>
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                <text>This thesis presents a theoretical study of linear and non-linear analyses of Rayleigh–Bénard–Marangoni/Rayleigh–Bénard electro convection in a micropolar fluid. The effects of non-uniform basic temperature gradient, suction–injection combination and gravity modulation have been studied in the presence of electric field. The effect of heat transfer in a micropolar fluid in the presence of electric field is also studied and results are presented graphically and discussed qualitatively. These problems assume greater importance in geophysics, astrophysics, oceanography, and engineering and in space situations with g-jitter connected with gravity stimulation study. Keeping in mind the importance and relevance of externally controlled internal convection in a micropolar liquid.</text>
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                <text>T V Joseph -  PHMT 0944303</text>
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                <text>Linear and non-linear analyses of double diffusive chandrasekhar convection with heat and concentration source in micropolar fluid with saturated porous media under gravity modulation</text>
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                <text>In this paper, linear and non-linear analysis of Double-Diffusive convection in the presence of magnetic field and gravity modulation with heat and concentration source in a micropolar fluid is studied by assuming the strength of heat and concentration source same. The expression for Rayleigh number and correction Rayleigh number are obtained using regular perturbation method. The effects of parameters on heat and mass transport is investigated using non-linear analysis by deriving eighth order Lorenz equation. It is found that coupling parameter and Chandrasekhar number stabilizes the system. Whereas internal Rayleigh number and Darcy number destabilizes the system.  2020 International Association of Engineers.</text>
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                <text>Anncy S.M.; Joseph T.V.; Pranesh S.</text>
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                <text>IAENG International Journal of Applied Mathematics, Vol-50, No. 2, pp. 1-17.</text>
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                <text>International Association of Engineers</text>
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                <text>Anncy S.M., Department of Mathematics, CHRIST(Deemed to be University), Bangalore, India; Joseph T.V., CHRIST(Deemed to be University), India; Pranesh S., CHRIST(Deemed to be University), India</text>
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                <text>Linear and non-linear analyses of double-diffusive-Chandrasekhar convection coupled with cross-diffusion in micropolar fluid over saturated porous medium</text>
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          <element elementId="49">
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                <text>Chandrasekhar convection; Cross diffusion; Double-diffusive convection; Micropolar fluid; Porous medium</text>
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                <text>Purpose: The problem aims to find the effects of coupled cross-diffusion in micropolar fluid oversaturated porous medium, subjected to Double-Diffusive Chandrasekhar convection. Design/methodology/approach: Normal mode and perturbation technique have been employed to determine the critical Rayleigh number. Non-linear analysis is carried out by deriving the Lorenz equations using truncated Fourier series representation. Heat and Mass transport are quantified by Nusselt and Sherwood numbers, respectively. Findings: Analysis related to the effects of various parameters is plotted, and the results for the same are interpreted. It is observed from the results that the Dufour parameter and Soret parameter have an opposite influence on the system of cross-diffusion. Originality/value: The effect of the magnetic field on the onset of double-diffusive convection in a porous medium coupled with cross-diffusion in a micropolar fluid is studied for the first time.  2020, Emerald Publishing Limited.</text>
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                <text>Anncy M.; Varghese Joseph T.; Pranesh S.</text>
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                <text>Multidiscipline Modeling in Materials and Structures, Vol-17, No. 1, pp. 211-236.</text>
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                <text>Emerald Group Holdings Ltd.</text>
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                <text>&lt;a href="https://doi.org/10.1108/MMMS-11-2019-0201" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1108/MMMS-11-2019-0201&lt;/a&gt;
&lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85086944249&amp;amp;doi=10.1108%2FMMMS-11-2019-0201&amp;amp;partnerID=40&amp;amp;md5=8b06f24aa03f0f35363d19c049104e13" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/inward/record.uri?eid=2-s2.0-85086944249&amp;amp;doi=10.1108%2fMMMS-11-2019-0201&amp;amp;partnerID=40&amp;amp;md5=8b06f24aa03f0f35363d19c049104e13&lt;/a&gt;</text>
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                <text>ISSN: 15736105</text>
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                <text>Anncy M., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Varghese Joseph T., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Pranesh S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India</text>
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                <text>Linear and non-linear analyses of electrothermo convection in a micropolar fluid</text>
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          <element elementId="49">
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            <description>The topic of the resource</description>
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              <elementText elementTextId="135371">
                <text>Electrothermo convection; Heat transfer; Micropolar fluid; Nusselt number; Rayleigh number</text>
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                <text>The linear and weakly non-linear stability analyses of electrothermo convention in a micropolar fluid layer heated from below are studied. The linear and non-linear analyses are, respectively, based on normal mode technique and truncated representation of Fourier series. The influence of various parameters on the onset of convection has been analyzed in the linear case. The resulting autonomous Lorenz model obtained in non-linear analysis is solved numerically to quantify the heat transfer through Nusselt number. It is observed that the increase in concentration of suspended particles stabilizes the system and decreases the heat transfer and increase in electric Rayleigh number destabilizes the system and increases the heat transfer.  2017 Pushpa Publishing House, Allahabad, India.</text>
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                <text>Joseph T.V.; Pranesh S.; Manjunath S.</text>
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                <text>JP Journal of Heat and Mass Transfer, Vol-14, No. 4, pp. 461-484.</text>
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                <text>&lt;a href="https://doi.org/10.17654/HM014040461" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.17654/HM014040461&lt;/a&gt;
&lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85044254467&amp;amp;doi=10.17654%2FHM014040461&amp;amp;partnerID=40&amp;amp;md5=7a174452cb310fd571e14118c5c1961f" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/inward/record.uri?eid=2-s2.0-85044254467&amp;amp;doi=10.17654%2fHM014040461&amp;amp;partnerID=40&amp;amp;md5=7a174452cb310fd571e14118c5c1961f&lt;/a&gt;</text>
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                <text>ISSN: 9735763</text>
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                <text>Joseph T.V., Department of Mathematics, Christ University, Bangalore, India; Pranesh S., Department of Mathematics, Christ University, Bangalore, India; Manjunath S., Department of Mathematics, B N M Institute of Technology, Bangalore, India</text>
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                <text>The effect of concentration modulation and magnetic field in a couple stress fluid with porous medium and salted from above is studied using linear and non-linear analysis. Venezian approach based on perturbation method is used to obtain the expression for solute Rayleigh number and correction solute Rayleigh number. The expression for correction solute Rayleigh number is obtained as a function of couple stress parameter, Chandrashekar number, Darcy number and Schmidt number. The effect of parameters on symmetric and asymmetric concentration modulation are discussed in the paper. A non-autonomous Ginzburg-Landau equation with time periodic co-efficient is obtained to study the effect of parameters on mass transfer. It is found that onset of convection and mass transfer can be delayed or advanced by varying the parameters of the problem. Asymmetric modulation is found to be more stable than the symmetric modulation.  2019 Author(s).</text>
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                <text>Kunnegowda T.; Pranesh S.</text>
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                <text>Kunnegowda T., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore, 560029, India; Pranesh S., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore, 560029, India</text>
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                <text>Linear and Non-Linear Double Diffusive Convection in a

 Vertically Oscillating Couple Stress Fluid with Cross Diffusion

 Effects</text>
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                <text>K P Venkatesh Babu </text>
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                <text>A theoretical examination of the thermal convection for a couple stress fluid which is electrically conductive and possessing significant thermal relaxation time with an externally applied magnetic field is carried out. Fourier's law fails when fluids are subjected to rapid heating or when it is confined and in the case of nano-devices. A frame invariant constitutive equation for heat flux is considered. The linear analysis is carried out implementing a normal mode solution and the non-linear stability of the system is analyzed using a double Fourier series. The analysis of the transfer of heat is determined in terms of the Nusselt number.   Published under licence by IOP Publishing Ltd.</text>
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                <text>Thomas M.; Pranesh S.; Sangeetha George K.</text>
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                <text>Journal of Physics: Conference Series, Vol-1850, No. 1</text>
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                <text>All Open Access; Gold Open Access</text>
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                <text>ISSN: 17426588</text>
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                <text>Thomas M., Department of Mathematics, CHRIST, Deemed to Be University, Bengaluru, Karnataka, India; Pranesh S., Department of Mathematics, CHRIST, Deemed to Be University, Bengaluru, Karnataka, India; Sangeetha George K., Department of Science, Christ Academy Institute for Advanced Studies, Bengaluru, Karnataka, India</text>
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              <elementText elementTextId="112636">
                <text>Energy method; Rayleigh-Bard convection; single-phase model; subcritical instabilities; watercopper and wateralloy nanoliquids</text>
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                <text>In this paper, we perform linear and non-linear stability analyses of Rayleigh-Bard convection in a horizontal layer of watercopper and wateralloy nanoliquids. The corresponding eigen values for the problems involving the two nanoliquids are obtained and compared. The thermophysical properties of nanoliquids have been modelled as a function of the properties of water as base liquid, copper and alloy as nanoparticles. A non-linear analysis is performed using the energy method. The subcritical instability does not exist. As a limiting case the results of water are discussed with results of previous investigations, and a good agreement is found. The effect of nanoparticles is to destabilise the system. The results are depicted graphically.  2022 Informa UK Limited, trading as Taylor &amp;amp; Francis Group.</text>
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                <text>Veena B.N.; Siddheshwar P.G.</text>
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                <text>International Journal of Ambient Energy, Vol-43, No. 1, pp. 7229-7236.</text>
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                <text>Veena B.N., Department of Mathematics, M. S. Ramaiah Institute of Technology, Bangalore, India; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, Christ University, Bangalore, India</text>
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                <text>Linear and Nonlinear Analysis of Unicellular Rayleigh-Bard Magneto-convection in a Micropolar Fluid Occupying Enclosures</text>
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                <text>GLE; Micropolar fluid; URBMC</text>
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                <text>Jestine S.; Pranesh S.</text>
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                <text>The thesis is concerned with linear and nonlinear Rayleigh-Benard electroconvection in a horizontal porous layer. Modified Darcy law is employed to describe the fluid motion. The effect of non-0classical heat conduction, chemical reaction, thermal radiation and finite amplitudes on the onset of Darcy electroconvection is considered. The findings of the problems investigated in the thesis may prove useful in heat transfer application situations with dielectric fluids as working medium.</text>
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                <text>The thesis is concerned with linear and nonlinear Rayleigh-Bard electroconvection in a horizontal porous layer. Modified Darcy law is employed to describe the fluid motion. The effect of non-classical heat conduction, chemical reaction, thermal radiation and finite amplitudes on the onset of Darcy electroconvection is considered. The findings of the problems investigated in the thesis may prove useful in heat transfer application situations with dielectric fluids as working medium. The summary of the problems addressed in the thesis is given below.Effect of non-classical heat conduction on Rayleigh-Bard newlineconvection in a horizontal layer of porous medium saturated with a dielectric fluid The method of small perturbations is used to examine the effect of non-classical heat conduction on the onset of Darcy electroconvection. Exact solutions for both stationary and oscillatory instability are obtained and known results have been deduced as limiting cases of the present study. It is shown that electroconvective instability in a Darcy porous layer is hastened by increasing the strengths of second sound and electric newlineforces and that the presence of second sound and dielectrophoretic force leads to shorter wavelength electroconvection. Further, it is found that the effect of Vadasz number is to advance the onset of oscillatory Darcy newlineelectroconvection and oscillatory instability sets in before stationary convection provided that the Vadasz number and the Cattaneo number are sufficiently large. Rayleigh-Bard convection in a horizontal layer of porous medium saturated with a chemically reacting dielectric fluid The problem of the effect of chemical reaction on the onset of Darcy electroconvection in a horizontal porous layer heated from below is newlineinvestigated. It is assumed that the fluid experiences a zero-order exothermic chemical reaction and that there exists a local thermal equilibrium between the fluid and the solid phases.</text>
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                <text>Maruthamanikandan, S</text>
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                <text>The thesis deals with linear and nonlinear Rayleigh-Bard ferroconvection in a horizontal porous layer. Modified Darcy law is used to describe the fluid motion. The effect of chemical reaction, temperature newlinemodulation, gravity modulation and finite amplitudes on the onset of Darcy ferrroconvection is considered. The findings of the problems addressed in the thesis may come in handy for heat transfer application newlinesituations with ferromagnetic fluids as working medium. The summary of the problems investigated in the thesis is given below.Effect of chemical reaction on the onset of ferroconvection in a porous medium The problem of the effect of chemical reaction on the onset of Darcy newlineferrroconvection in a horizontal porous layer heated from below is investigated by means of the classical linear stability analysis. It is assumed that the fluid undergoes a zero-order exothermic chemical reaction and that there exists a local thermal equilibrium between the fluid and the solid phases. It is proved that stationary convection is preferred to the oscillatory mode. The Galerkin method is employed to determine the eigenvalues.The effect of Frank-Kamenetskii number and magnetic parameters on the stability of the system is discussed. It is newlinefound that the basic temperature profile turns out to be more and more nonlinear and asymmetric as the Frank-Kamenetskii number increases and that the effect of both chemical reaction and magnetic forces is to newlinehasten the onset of Darcy ferrroconvection. Further, it is shown that when there is very strong nonlinearity of magnetization, the fluid layer is destabilized slightly. Effect of temperature modulation on the onset of ferroconvection in a porous medium The effect of temperature modulation on the onset of Darcy ferroconvection in a horizontal porous layer heated from below is considered. The analysis is based on the assumption that the amplitude of the temperature modulation is small enough compared with the imposed newlinesteady temperature difference.</text>
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