Double-diffusive of natural convection in an inclined porous square domain generalized model

Abstract EN

Numerical investigate of double-diffusive natural convection in an inclined porous square.

Two opposingwalls of the square cavity are adiabatic; while the other walls are, kept at constant concentrations andtemperatures.

The Darcy–Forchheimer–Brinkman model is used to solve the governing equations with theBoussinesq approximation.

A code written in FORTRAN language developed to solve the governingequations in dimensionless forms using a finite volume approach with SIMPLER algorithm.

The resultspresented in U-velocity and V-velocity, isotherms, iso-concentration, streamline, the average Nusseltnumber, and the average Sherwood number for different values of the dimensionless parameters.

A widerange of these parameters have been used including; Darcy Number, modified Rayleigh number, Lewisnumber, buoyancy ratio, and inclination angle.

The results show that for opposite buoyancy ratio (N≤-1), the Nu decreases when the Le increases and the Sh increase when the Le increases.

For an (N>0), the Nuincreases when the Le increases until Le is equal to 1 and then it decreases, also Sh increases when the Numerical investigate of double-diffusive natural convection in an inclined porous square.

Two opposingwalls of the square cavity are adiabatic; while the other walls are, kept at constant concentrations andtemperatures.

The Darcy–Forchheimer–Brinkman model is used to solve the governing equations with theBoussinesq approximation.

A code written in FORTRAN language developed to solve the governingequations in dimensionless forms using a finite volume approach with SIMPLER algorithm.

The resultspresented in U-velocity and V-velocity, isotherms, iso-concentration, streamline, the average Nusseltnumber, and the average Sherwood number for different values of the dimensionless parameters.

A widerange of these parameters have been used including; Darcy Number, modified Rayleigh number, Lewisnumber, buoyancy ratio, and inclination angle.

The results show that for opposite buoyancy ratio (N≤-1), the Nu decreases when the Le increases and the Sh increase when the Le increases.

For an (N>0), the Nuincreases when the Le increases until Le is equal to 1 and then it decreases, also Sh increases when the Leincreases