AN ANALYTICAL STUDY OF HEAT AND MASS TRANSPORT IN BENARD-DARCY CONVECTION WITH G-JITTER AND VARIABLE VISCOSITY LIQUIDS IN POROUS MEDIA

Alok Srivastava; Beer S. Bhadauria; Ajay Singh

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AN ANALYTICAL STUDY OF HEAT AND MASS TRANSPORT IN BENARD-DARCY CONVECTION WITH G-JITTER AND VARIABLE VISCOSITY LIQUIDS IN POROUS MEDIA

机译：多孔介质中G-抖动和可变粘度液体在贝纳德对流对流中传热和传质的分析研究

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This research article deals with the thermorheological effect of temperature dependent viscous fluid in the presence of imposed time periodic gravity modulation. We perform weak non-linear analysis of gravity modulation with temperature dependent viscosity using the power series expansion in terms of the amplitude of gravity modulation, which is considered to be small for double-diffusive convection in porous media. Nusselt number and Sherwood number are calculated numerically through the non-autonomous equation involving amplitude of convection using Ginzburg−Landau equation. We explore the non-linear effect of solute Rayleigh number, Lewis number, Vadász number, thermorheological parameter and amplitude of gravity modulation analytically. The curve for heat and mass transfer with respect to slow time variation is depicted graphically. Furthermore we also draw streamlines, isotherms, and isohalines at different times.

机译：本文研究在施加时间周期性重力调制的情况下，温度依赖性粘性流体的热流变效应。我们使用幂级数展开对重力调制的振幅进行弱非线性分析，其中温度依赖性粘度随重力变化的幅度而变，对于多孔介质中的双扩散对流来说，该幅度很小。 Nusselt数和Sherwood数是使用Ginzburg-Landau方程通过涉及对流幅度的非自治方程数值计算的。我们分析地分析了溶质瑞利数，路易斯数，瓦兹数，热流变参数和重力调制振幅的非线性影响。图形化地描绘了关于慢时间变化的传热和传质曲线。此外，我们还在不同时间绘制流线，等温线和等卤线。

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来源
《Special topics & reviews in porous media》 |2019年第4期|323-338|共16页
作者
Alok Srivastava; Beer S. Bhadauria; Ajay Singh;
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作者单位

Department of Mathematics Institute of Science Banaras Hindu University;

Department of Mathematics Institute of Science Banaras Hindu University|Department of Applied Mathematics School for Physical Sciences Babasaheb Bhimrao Ambedkar University;

Department of Mathematics School of Physical and Decision Sciences Babasaheb BhimraoAmbedkar University;

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原文格式 PDF
正文语种 eng
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关键词
Ginzburg-Landau equation; gravity modulation; porous media; temperature-dependent viscosity; double–diffusive convection; non-linear stability;

机译：金茨堡-朗道方程;重力调制多孔介质温度依赖性粘度;双扩散对流;非线性稳定性;

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1. Study of Heat Transport in Benard-Darcy Convection with g-Jitter and Thermo-Mechanical Anisotropy in Variable Viscosity Liquids [J] . P. G. Siddheshwar, R. K. Vanishree, Anthony Christy Melson Transport in Porous Media . 2012,第2期

机译：可变粘度液体中具有g抖动的Benard-Darcy对流传热和热力学各向异性的研究
2. Heat Transport in an Anisotropic Porous Medium Saturated with Variable Viscosity Liquid Under G-jitter and Internal Heating Effects [J] . Alok Srivastava, B. S. Bhadauria, P. G. Siddheshwar, Transport in Porous Media . 2013,第2期

机译：G抖动和内部加热作用下在可变粘度液体饱和的各向异性多孔介质中的传热
3. Heat Transport in an Anisotropic Porous Medium Saturated with Variable Viscosity Liquid Under G-jitter and Internal Heating Effects [J] . Alok Srivastava, B. S. Bhadauria, P. G. Siddheshwar, Transport in Porous Media . 2013,第2期

机译：G抖动和内部加热作用下在可变粘度液体饱和的各向异性多孔介质中的传热
4. Coupled Heat and Mass Transfer by Mixed Convection of a Power-Law Fluid Flow over a Wedge in Porous Media with Variable Wall Temperature and Concentration [C] . ALI J. CHAMKHA Recent advances in applied mathematics . 2010

机译：可变壁温和浓度的多孔介质中动力-流体在楔块上的混合对流的混合对流引起的传热和传质耦合
5. Experimental studies of multiphase heat and mass transfer in porous media: Application to remediation of nonaqueous phase liquid-contaminated soils [D] . Shah, M. Fiaz Hussain. 1994

机译：多孔介质多相热和传质的实验研究：施用在非水相液体污染土壤中的修复
6. g-Jitter Mixed Convective Slip Flow of Nanofluid past a Permeable Stretching Sheet Embedded in a Darcian Porous Media with Variable Viscosity [O] . Mohammed J. Uddin, Waqar A. Khan, Norsarahaida S. Amin -1

机译：纳米流体的g抖动混合对流滑移流过可变黏度的Darcian多孔介质中嵌入的渗透性拉伸片
7. Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source [O] . A. Srivastava, B. S. Bhadauria, A. K. Singh 2018

机译：具有内部热源的多孔层中G-抖动与可变粘度液体的热和质量传输研究

AN ANALYTICAL STUDY OF HEAT AND MASS TRANSPORT IN BENARD-DARCY CONVECTION WITH G-JITTER AND VARIABLE VISCOSITY LIQUIDS IN POROUS MEDIA

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