Linear and weakly nonlinear analysis of a ferrofluid layer for an LTNE model with variable gravity and internal heat source

2020 ◽  
Vol 124 (1) ◽  
pp. 11-39
Author(s):  
Amit Mahajan ◽  
Hemant Parashar
Keyword(s):  
Heat Source ◽  
Nonlinear Analysis ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Weakly Nonlinear ◽  
Weakly Nonlinear Analysis ◽  
Variable Gravity

Convection in a porous medium with variable internal heat source and variable gravity

2017 ◽  
Vol 111 ◽  
pp. 651-656 ◽  
Author(s):  
U.S. Mahabaleshwar ◽  
D. Basavaraja ◽  
Shaowei Wang ◽  
Giulio Lorenzini ◽  
Enrico Lorenzini
Keyword(s):  
Porous Medium ◽  
Heat Source ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Variable Gravity

Effect of a Variable Gravity Field on Convection in an Anisotropic Porous Medium With Internal Heat Source and Inclined Temperature Gradient

2001 ◽  
Vol 124 (1) ◽  
pp. 144-150 ◽  
Author(s):  
Sherin M. Alex ◽  
Prabhamani R. Patil
Keyword(s):  
Temperature Gradient ◽  
Heat Source ◽  
Gravity Field ◽  
Convective Instability ◽  
Opposite Effect ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Anisotropic Porous Medium ◽  
Variable Gravity ◽  
Inclined Temperature Gradient

The convective instability of a horizontal fluid-saturated anisotropic porous layer, with internal heat source and inclined temperature gradient, subject to a gravity field varying with distance in the layer, is investigated. A linear stability analysis is performed and the resulting eigenvalue problem solved using a Galerkin technique. In the absence of an inclined temperature gradient, an increase in the variable gravity parameter above −1 destabilizes the system. In its presence interesting developments occur. An increase in the heat generation destabilizes the system when the variable gravity parameter is nonnegative. When it is negative the opposite effect is seen.

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