Darcy-Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow

被引:6
|
作者
Honnappa, Gangadharaiah Yeliyur [1 ]
Narayanappa, Manjunatha [2 ]
Udhayakumar, Ramalingam [3 ]
Almarri, Barakah [4 ]
Elshenhab, Ahmed M. [5 ,6 ]
Honnappa, Nagarathnamma [7 ]
机构
[1] RV Inst Technol & Management, Dept Math, Bengaluru 560076, India
[2] REVA Univ, Sch Appl Sci, Dept Math, Bengaluru 560064, India
[3] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, India
[4] Princess Nourahbint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[5] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[6] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[7] Dr Ambedkar Inst Technol, Dept Math, Bengaluru 560056, India
关键词
double-diffusive convection; Brinkman model; anisotropy; throughflow; changeable gravity; INTERNAL HEAT-SOURCE; THERMAL-CONVECTION; ONSET;
D O I
10.3390/math11061287
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The influence of the throughflow and gravity fluctuation on thermosolutal convection in an anisotropic porous bed with the Darcy-Brinkman effect is considered numerically. The critical Rayleigh numbers for the onset of stationary and oscillatory modes have been found via linear instability analysis. The impact of various gravitational functions in the presence of throughflow on stability is studied. The analysis has been carried out for decreasing and increasing gravity fluctuations. The convective problem has been numerically analyzed using a single-term Galerkin approach. The results show that the mechanical anisotropy parameter and Lewis number have a destabilizing effect, while the thermal anisotropy parameter, Darcy number, solutal Rayleigh number, throughflow parameter, and gravity parameter have a stabilizing effect on stationary and oscillatory convection. It is clear that the system changes in a way that makes it more stable for case (iii) gravity fluctuation and more unstable for case (iv) gravity fluctuation.
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收藏
页数:15
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