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

被引:3
|
作者
Srivastava, Alok [1 ]
Bhadauria, B. S. [2 ]
Singh, Ajay [2 ]
机构
[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
[2] Babasaheb Bhimrao Ambedkar Univ, Sch Phys & Decis Sci, Dept Math, Lucknow 226025, Uttar Pradesh, India
关键词
Ginzburg-Landau equation; gravity modulation; porous media; temperature-dependent viscosity; double-diffusive convection; non-linear stability; DOUBLE-DIFFUSIVE CONVECTION; BOUNDARY-LAYER-FLOW; GRAVITY MODULATION; STABILITY ANALYSIS; LINEAR-STABILITY; ONSET; FLUID; BIOCONVECTION; MICROORGANISMS; INSTABILITY;
D O I
10.1615/SpecialTopicsRevPorousMedia.2019016040
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
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, Vadasz 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.
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页码:323 / 338
页数:16
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