Natural Convection From Two Thermal Sources in a Vertical Porous Layer

Numerical study of natural convection flow induced by two isothermally heated elements located on adiabatic vertical plate immersed in a Darcian porous medium is carried out in the present article. The natural convection is affected by the Rayleigh number, the separation distance between the elements, their temperature ratio, and the length of the upper element. The numerical results are presented as average Nusselt number versus Rayleigh number for wide ranges of the governing parameters. It is found that the heat transfer from the lower element is not affected by the presence of the upper element for equal temperatures of the elements. The heat transfer from the lower element can be enhanced by increasing the temperature of the upper element due to the suction effect. The average Nusselt number along the upper heated element is found to increase with the increase of any of the governing parameters.

[1]  Satya N. Atluri,et al.  Computational heat transfer , 1986 .

[2]  N. H. Saeid,et al.  Analysis of mixed convection in a vertical porous layer using non-equilibrium model , 2004 .

[3]  Bahgat Sammakia,et al.  Buoyancy-Induced Flows and Transport , 1988 .

[4]  A. Bejan,et al.  Convection in Porous Media , 1992 .

[5]  Ioan Pop,et al.  Mixed convection from two thermal sources in a vertical porous layer , 2005 .

[6]  Yogesh Jaluria,et al.  Buoyancy-Induced Flow Due to Isolated Thermal Sources on a Vertical Surface , 1982 .

[7]  Adrian Bejan,et al.  Heat and mass transfer by natural convection in a porous medium , 1985 .

[8]  I. Pop,et al.  Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media , 2001 .

[9]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[10]  Ephraim M Sparrow,et al.  Natural Convection Heat Transfer from the Upper Plate of a Colinear, Separated Pair of Vertical Plates , 1980 .

[11]  P. Murthy,et al.  Effect of Double Stratification on Free Convection in a Darcian Porous Medium , 2004 .

[12]  F. Kulacki,et al.  Experimental study of free and mixed convection in horizontal porous layers locally heated from below , 1991 .

[13]  Toshiyuki Hayase,et al.  A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures , 1992 .

[14]  Y. Jaluria.  Mixed convection flow over localized multiple thermal sources on a vertical surface , 1986 .

[15]  F. Kulacki,et al.  Aiding and opposing mixed convection in a vertical porous layer with a finite wall heat source , 1988 .

[16]  I. Pop,et al.  Transient free convection about a vertical flat plate embedded in a porous medium , 1984 .

[17]  Jiin-Yuh Jang,et al.  Transient free convection with mass transfer from an isothermal vertical flat plate embededded in a porous medium , 1989 .

[18]  W. Minkowycz,et al.  Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike , 1977 .

[19]  C. H. Johnson,et al.  Possible similarity solutions for free convection boundary layers adjacent to flat plates in porous media , 1978 .

[20]  Vishwanath Prasad,et al.  Mixed convection in horizontal porous layers heated from below , 1988 .

[21]  L. Burmeister.  Convective heat transfer , 1983 .