Abstract
In this paper, we present the numerical analysis of mixed convection in a square cavity filled with porous medium. The left wall of the enclosure is kept at a constant heat flux, and the dimensionless governing equations are solved numerically with Marker and Cell (MAC) method. The numerical results are discussed graphically with the effect of Darcy number, Prandtl number, Rayleigh number, Grashof number, Reynolds number, temperature and streamlines.
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Abbreviations
- Da :
-
Darcy number
- g :
-
Acceleration due to gravity, m s−2
- k :
-
Thermal conductivity, Wm−1 K−1
- L :
-
Length of the square cavity, m
- K :
-
Permeability, m2
- N :
-
Total number of nodes
- Nu :
-
Local Nusselt number
- Gr :
-
Grashof number
- T :
-
Temperature, K
- U :
-
x component of velocity, m s−1
- U :
-
x component of dimensionless velocity
- U 0 :
-
x lid velocity, m s−1
- V :
-
y component of dimensionless velocity
- X :
-
Dimensionless distance along x-coordinate
- Y :
-
Dimensionless distance along y-coordinate
- V :
-
y component of velocity, m s−1
- p :
-
Pressure, Pa
- P :
-
Dimensionless pressure
- Pr :
-
Prandtl number
- Re :
-
Reynolds number
- Ri :
-
Richardson number
- \(\alpha \,\) :
-
Thermal diffusivity, m2 s−1
- \(\beta\) :
-
Volume expansion coefficient, K−1
- \(\gamma\) :
-
Penalty parameter
- \(\theta\) :
-
Dimensionless temperature
- \(\upsilon\) :
-
Kinematic viscosity, m2 s−1
- \(\rho\) :
-
Density, kg m−3
- \(\Phi\) :
-
Basis functions
- \(\Psi\) :
-
Stream function
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Md. Hidayathulla Khan, B., Ramachandra Prasad, V., Bhuvana Vijaya, R. (2018). Unsteady Mixed Convective Flow in a Porous Lid-Driven Cavity with Constant Heat Flux. In: Singh, M., Kushvah, B., Seth, G., Prakash, J. (eds) Applications of Fluid Dynamics . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-5329-0_32
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DOI: https://doi.org/10.1007/978-981-10-5329-0_32
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