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2 International Journal of Applied Mechanics and Engineering

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Non-Darcy mixed convection heat and mass transfer from a vertical wavy surface in porous media

Mohamed R. A., Mahdy A.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 3

813-827

This paper reports a study of mixed convection heat and mass transfer from a vertical wavy surface embedded in a homogeneous fluid-saturated porous medium using the Forchheimer flow model. The buoyancy effect is due to the variation of temperature and concentration across the boundary layer. We consider the boundary-layer regime where the Péclet number is very lager, […]. Appropriate transformations are employed to transform the governing partial differential equations into the boundary layer equations. The transformed equations have been solved numerically employing the Runge Kutta integration scheme with the shooting technique. Extensive computations are presented for a wide range of wave amplitudes the mixed convection parameter inertial parameter […] the Lewis number and the buoyancy ratio The numerical results illustrating the effects of all previously involved parameters on the velocity profiles[…] temperature […] mass […] the local Nusselt number […] and the local Sherwood number […] are presented and discussed in detail.

Finite element solutions for two-phase magneto-heat transfer in a particle-suspension through a non-Darcian porous channel with heat source and buoyancy effects

Bhargava R., Rawat S., Takhar H. S., Beg T. A., Anwar Beg o.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 2

325-357

We consider the steady, laminar natural convection heat transfer of a particulate suspension in an electrically-conducting fluid through a two-dimensional channel containing a non-Darcian porous material in the presence of a transverse magnetic field. The transport equations for both fluid and particle phases are formulated using a two-phase continuum model and a heat source term is included which simulates either absorption or generation. A set of transformations are implemented to reduce the partial differential equations for momentum and energy conservation (for both phases) from a two-dimensional coordinate system to a one-dimensional system. Finite element solutions are obtained for the transformed model. A comprehensive parametric study of the effects of the heat source parameter (E), Prandtl number (Pr), Grashof number (Gr), momentum inverse Stokes number (Skm), Darcy number (Da), Forchheimer number (Fs), particle loading parameter (PL), buoyancy parameter (B), Hartmann number (Ha), temperature inverse Stokes number (SkT), viscosity ratio [...], specific heat ratio [...], dimensionless particle-phase wall slip parameter [...] on the dimensionless fluid phase velocity (U), dimensionless particle phase velocity ( ), dimensionless fluid phase temperature [...] and the dimensionless temperature of particle phase [...] are presented graphically. In addition, we also describe numerical solutions for several special cases of the model, for example, the inviscid hydromagnetic two phase non-Darcian free convection, heat transfer [...], forced convection case (GrŽ0) etc. Fluid phase velocities are found to be strongly reduced by the magnetic field, Darcian drag and also Forchheimer drag; a lesser reduction is observed for the particle phase velocity field. The Prandtl number is shown to depress both the fluid temperature and particle phase temperature in the left hand side of the channel but to boost both temperatures at the right hand side of the channel [...]. The inverse momentum Stokes number is seen to reduce fluid phase velocities and increase particle phase velocities. The influence of other thermophysical parameters is discussed in detail and computations compared with previous studies. The model finds applications in MHD plasma accelerators, astrophysical flows, geophysics, geothermics and industrial materials processing.