Combined Forced and Free Convective Flow in a Vertical Porous Channel: The Effects of Viscous Dissipation and Pressure Work

2009 ◽  
Vol 79 (3) ◽  
pp. 319-334 ◽  
Author(s):  
A. Barletta ◽  
D. A. Nield
Keyword(s):  
Viscous Dissipation ◽  
Convective Flow ◽  
Porous Channel ◽  
Free Convective Flow ◽  
Pressure Work

scholarly journals The Effect of Internal and External Heating on the Free Convective Flow of a Bingham Fluid in a Vertical Porous Channel

Fluids ◽  
2019 ◽  
Vol 4 (2) ◽  
pp. 95 ◽  
Author(s):  
D. Andrew S. Rees ◽  
Andrew P. Bassom
Keyword(s):  
Convective Flow ◽  
Internal Heat ◽  
Bingham Fluid ◽  
Relative Strength ◽  
Porous Channel ◽  
Free Convective Flow ◽  
Bingham Number ◽  
Different Types ◽  
Yield Surfaces ◽  
Rayleigh Numbers

We study the steady free convective flow of a Bingham fluid in a porous channel where heat is supplied by both differential heating of the sidewalls and by means of a uniform internal heat generation. The detailed temperature profile is governing by an external and an internal Darcy-Rayleigh number. The presence of the Bingham fluid is characterised by means of a body force threshold as given by the Rees-Bingham number. The resulting flow field may then exhibit between two and four yield surfaces depending on the balance of magnitudes of the three nondimensional parameters. Some indication is given of how the locations of the yield surfaces evolve with the relative strength of the Darcy-Rayleigh numbers and the Rees-Bingham number. Finally, parameter space is delimited into those regions within which the different types of flow and stagnation patterns arise.

scholarly journals Effects of Viscous Dissipation Parameter on Magneto-hydrodynamic Free Convective Flow through a Porous Media of Parallel Plates with a Non-uniform Heat Source for an Unsteady Case

2019 ◽  
pp. 1-18
Author(s):  
Francis Mburu ◽  
Joash Kerongo ◽  
Wesley Koech
Keyword(s):  
Viscous Dissipation ◽  
Convective Flow ◽  
Mhd Flow ◽  
Constant Density ◽  
Parallel Plates ◽  
Free Convective Flow ◽  
Electrically Conducting ◽  
Constant Thermal Conductivity ◽  
Fluid Boundary ◽  
Flow Through

The magnetic hydrodynamic free convective flow past an infinite stretching porous sheet at constant density for electrically conducting fluid with viscous dissipation was numerically studied. The study revolved around an unsteady two-dimensional free convective laminar flow through a porous medium with the interaction of magnetic area standard to the stream. The graphs represented the effects of material parameters on the temperature and velocity profiles across the fluid boundary layer. The solutions of partial differential equations obtained numerically using an implicit finite difference method for various values of (nu), numbers (0.5 to 0.7) at a constant thermal conductivity (kappa=0.1). The velocity and temperature of MHD flow increased with an increase in viscous dissipation and vice versa.

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