Study of Heat and Mass Transport in Benard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source

被引:4
作者
Srivastava, A. [1 ]
Bhadauria, B. S. [2 ]
Singh, A. K. [1 ]
机构
[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
[2] Babasaheb Bhimrao Ambedkar Univ, Sch Phys Sci, Dept Appl Math, Lucknow 226025, Uttar Pradesh, India
关键词
Ginzburg-Landau equation; Gravity modulation; Porous media; Temperature dependent viscosity; Double-diffusive convection; Weakly non-linear stability; DOUBLE-DIFFUSIVE CONVECTION; TEMPERATURE-DEPENDENT VISCOSITY; THERMAL-CONVECTION; NATURAL-CONVECTION; ONSET; STABILITY; FLOW; BIOCONVECTION; GENERATION; MODULATION;
D O I
10.18869/acadpub.jafm.73.248.28459
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this research article, we investigated the weakly non-linear effect of gravity modulation for the temperature dependent viscous fluid in a horizontal porous layer in the presence of internal heat source. We use power series expansion in terms of the amplitude of gravity modulation, which is considered to be small for double-diffusive convection in porous media. We graphically show the effect of internal heat source, solute Rayleigh number, Lewis number, Vadasz number, thermo-rheological parameter, the amplitude of gravity modulation, the frequency of modulation on the heat and mass transfer using Ginzburg-Landau equation. The effect of gravity modulation is found significant and is more effective for the low values of frequency of modulation.
引用
收藏
页码:1217 / 1229
页数:13
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