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Paper Information

Journal:   JOURNAL OF APPLIED FLUID MECHANICS (JAFM)   2016 , Volume 9 , Number 2; Page(s) 975 To 986.
 
Paper: 

ONSET OF DARCY-BRINKMAN REACTION-CONVECTION IN AN ANISOTROPIC POROUS LAYER

 
 
Author(s):  GAIKWAD S.N.*, DHANRAJ M.
 
* DEPARTMENT OF MATHEMATICS, GULBARGA UNIVERSITY, KALABURAGI - 585 106, KARNATAKA, INDIA
 
Abstract: 

The linear and nonlinear stability analysis of double diffusive reaction-convection in a sparsely packed anisotropic porous layer subjected to chemical equilibrium on the boundaries is investigated analytically. The linear analysis is based on the usual normal mode method and the nonlinear theory on the truncated representation of Fourier series method. The Darcy-Brinkman model is employed for the momentum equation. The onset criterion for stationary, oscillatory and finite amplitude convection is derived analytically.
The effect of Darcy number, Damkohler number, anisotropy parameters, Lewis number, and normalized porosity on the stationary, oscillatory, and finite amplitude convection is shown graphically. It is found that the effect of Darcy number and mechanical anisotropy parameter have destabilizing effect, while the thermal anisotropy parameter has stabilizing effect on the stationary, oscillatory and finite amplitude convection. The Damkohler number has destabilizing effect in the case of stationary mode, with stabilizing effect in the case of oscillatory and finite amplitude modes. Further, the transient behavior of the Nusselt and Sherwood numbers are investigated by solving the nonlinear system of ordinary differential equations numerically using the Runge-Kutta method.

 
Keyword(s): DOUBLE DIFFUSIVE CONVECTION; BRINKMAN MODEL; CHEMICAL REACTION; ANISOTROPY; POROUS LAYER; HEAT MASS TRANSFER
 
 
References: 
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Citations: 
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APA: Copy

GAIKWAD, S., & DHANRAJ, M. (2016). ONSET OF DARCY-BRINKMAN REACTION-CONVECTION IN AN ANISOTROPIC POROUS LAYER. JOURNAL OF APPLIED FLUID MECHANICS (JAFM), 9(2), 975-986. https://www.sid.ir/en/journal/ViewPaper.aspx?id=569781



Vancouver: Copy

GAIKWAD S.N., DHANRAJ M.. ONSET OF DARCY-BRINKMAN REACTION-CONVECTION IN AN ANISOTROPIC POROUS LAYER. JOURNAL OF APPLIED FLUID MECHANICS (JAFM). 2016 [cited 2021August02];9(2):975-986. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=569781



IEEE: Copy

GAIKWAD, S., DHANRAJ, M., 2016. ONSET OF DARCY-BRINKMAN REACTION-CONVECTION IN AN ANISOTROPIC POROUS LAYER. JOURNAL OF APPLIED FLUID MECHANICS (JAFM), [online] 9(2), pp.975-986. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=569781.



 
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