TY  - EJOU
AU  - Flilihi, Elyazid 
AU  - Sriti, Mohammed 
AU  - Achemlal, Driss 

TI  - NUMERICAL SOLUTION ON NON-UNIFORM MESH OF DARCY-BRINKMAN-FORCHHEIMER MODEL FOR TRANSIENT CONVECTIVE HEAT TRANSFER OVER FLAT PLATE IN SATURATED POROUS MEDIUM
T2  - Frontiers in Heat and Mass Transfer

PY  - 2019
VL  - 12
IS  - 1
SN  - 2151-8629

AB  - A numerical investigation is performed to analyze the transient laminar free convection over an isothermal inclined plate embedded in a saturated
porous medium with the viscous dissipation effects. The flow in the porous medium is modeled with the Darcy-Brinkman- Forchheimer model,
taking into account the convective term. The dimensionless nonlinear partial differential equations are solved numerically using an explicit finite
difference method. The effects of different parameters: (1 ≤ Re ≤ 10 ; 10<sup>−2</sup> ≤ Da ≤ 10 ; 0 ≤ Gr ≤ 50 ; 0 ≤ F r ≤ 3 ; 0 ≤ Ec ≤ 1 ;
0 ≤ φ ≤ 90<sup>0</sup>
and P r = 0.71) that enter into the problem on the dimensionless streamlines of the velocity field, the isothermal lines distributions
and the local Nusselt number are examined. Also, the physical aspects of the problem are discussed in details. It is found that the viscous dissipation
and the inertial forces have a significant effect on the temperature field whereas the wall heat transfer rate is optimal for the vertical position of the plate.
KW  - <i>Free convection
KW  -  unsteady flow
KW  -  Darcy-Brinkman-Forchheimer model
KW  -  porous medium
KW  -  finite difference method.</i>

DO  - 10.5098/hmt.12.12