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Double-diffusive natural convection in inclined finned triangular porous enclosures in the presence of heat generation/absorption effects

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Abstract

The problem of double-diffusive convection in inclined finned triangular porous enclosures for various thermal and concentration boundary conditions and in the presence of heat source or sink was studied. The finite difference method was employed to solve the dimensionless governing equations of the problem. The effects of the governing parameters, namely the dimensionless time parameter, the inclination angle, Darcy number, heat generation/absorption parameter, the buoyancy parameter and the Rayleigh number on the streamlines, temperature and concentration contours as well as selected velocity component in the x-direction, local and average Nusselt numbers and local and average Sherwood number at the heated and concentrated wall for various values of the aspect ratio and the position of the fin were considered. The present results are validated by favorable comparisons with previously published results. All the results of the problem were presented in graphical and tabular forms and discussed.

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Abbreviations

A :

Enclosure aspect ratio

c :

Dimensionless fin position

C :

Dimensional concentration

c p :

Specific heat of the fluid

Da :

Darcy number

g :

Gravitational acceleration

Gr :

Grashof number

h :

Dimensionless height of the fin

H :

Height of the triangular enclosure

k :

Permeability of porous medium

L :

Length of the bottom wall of the triangular enclosure

Le :

Lewis number

N :

Buoyancy parameter

Nu :

Nusselt number

Pr :

Prandtl number

Q 0 :

Heat generation/absorption coefficient

Ra :

Rayleigh number

Sh :

Sherwood number

t :

Time

T :

Dimensional temperature

u, v:

Dimensional velocity components

U, V:

Dimensionless velocity components

x, y:

Dimensional coordinates

X, Y:

Dimensionless coordinates

α :

Effective thermal diffusivity of the porous medium

β T :

Thermal expansion coefficient

β c :

Compositional expansion coefficient

δ :

Dimensionless heat generation/absorption parameter

υ :

Kinematic viscosity

ϕ :

Dimensionless concentration

θ :

Dimensionless temperature

ψ :

Dimensionless stream function

c :

Cold

h :

Hot

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Authors and Affiliations

  1. Manufacturing Engineering Department, The Public Authority for Applied Education and Training, 70654, Shuweikh, Kuwait

    Ali J. Chamkha

  2. Department of Mathematics, Assuit University, Assuit, Egypt

    M. A. Mansour

  3. Department of Mathematics, South Valley University, Qena, Egypt

    Sameh E. Ahmed

Authors
  1. Ali J. Chamkha
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  2. M. A. Mansour
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  3. Sameh E. Ahmed
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Correspondence to Ali J. Chamkha.

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Chamkha, A.J., Mansour, M.A. & Ahmed, S.E. Double-diffusive natural convection in inclined finned triangular porous enclosures in the presence of heat generation/absorption effects. Heat Mass Transfer 46, 757–768 (2010). https://doi.org/10.1007/s00231-010-0622-6

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  • DOI: https://doi.org/10.1007/s00231-010-0622-6

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