ORIGINAL PAPER
Similarity Solutions on Mixed Convection Heat Transfer from a Horizontal Surface Saturated in a Porous Medium with Internal Heat Generation
,
 
D. Liu 1
 
 
 
More details
Hide details
1
College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana, 71272 United States of America
 
 
Online publication date: 2017-03-04
 
 
Publication date: 2017-02-01
 
 
International Journal of Applied Mechanics and Engineering 2017;22(1):253-258
 
KEYWORDS
ABSTRACT
The aim of this work is to study the mixed convection boundary layer flow from a horizontal surface embedded in a porous medium with exponential decaying internal heat generation (IHG). Boundary layer equations are reduced to two ordinary differential equations for the dimensionless stream function and temperature with two parameters: ε, the mixed convection parameter, and λ, the exponent of x. This problem is numerically solved with a system of parameters using built-in codes in Maple. The influences of these parameters on velocity and temperature profiles, and the Nusselt number, are thoroughly compared and discussed.
 
REFERENCES (10)
1.
Postelnicu A. and Pop I. (1999): Similarity solutions of boundary layer free convection flows with internal heat generation about vertical and horizontal surfaces in porous media. – Int. Comm. Heat Mass Transfer, vol.26, pp.1183-1191.
 
2.
Postelnicu A., Pop I. and Grosan D. (2000): Free convection boundary-layer flows over a vertical permeable flat plate in porous media with internal heat generation. – Int. Comm. Heat Mass Transfer, vol.27, pp.729-738.
 
3.
Postelnicu A., Grosan T. and Pop I. (2001): The effect of variable viscosity on forced convection over a horizontal flat plate in a porous medium with internal heat generation. – Mech. Res. Comm., vol.28, pp.331-337.
 
4.
Bagai S. (2003): Similarity solutions of free convection boundary layers over a body of arbitrary shape in porous medium with internal heat generation. – Int. Comm. Heat Mass Transfer, vol.30, pp.997-1003.
 
5.
Magyari E., Pop I. and Postelnicu A. (2007): Effect of the source term on steady free convection boundary layer flows over a vertical plate in a porous medium. – Part I., Transport in Porous Media, vol.67, pp.49-67.
 
6.
Magyari E., Pop I. and Postelnicu A. (2007): Effect of the source term on steady free convection boundary layer flows over a vertical plate in a porous medium. – Part II, Transport in Porous Media, vol.67, pp.189-201.
 
7.
Mealey L.R. and Merkin J.H. (2008): Free convection boundary layers on a vertical surface in a heat-generating porous medium. – IMA Journal of Applied Mathematics, vol.73, pp.231-253.
 
8.
Merkin J.H. (2008): Free convective boundary-layer flow in a heat-generating porous medium: similarity solutions. – Q.J. Mech. Appl. Math, vol.61, pp.205-218.
 
9.
Cheng P. (1977): Similarity solutions for mixed convection from horizontal impermeable surfaces in saturated porous media. – Int. J. of Heat and Mass Transfer, vol.20, pp.893-898.
 
10.
Maple 8.00, Waterloo Maple Inc., 2002.
 
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
Scroll to top