WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 10, 2015
Effects of Radiation on Free Convection Flow past an Upward Facing Horizontal Plate in a Nanofluid in the Presence of Internal Heat Generation
Authors: , ,
Abstract: This article aims to present a numerical investigation for the effects of radiation on heat and mass transfer characteristics over an upward facing horizontal flat plate embedded in a porous medium filled with a nanofluid when internal heat generation is present. The Buongiornio nanofluid model is implemented wherein Brownian motion and thermophoresis effects are present. The transformation of the governing boundary layer equations into ordinary differential equations has been carried out by employing similarity transformations. The solutions of the transformed governing equations have been obtained by using MATLAB BVP solver bvp4c. The results are presented graphically and discussed for various parameters such as the buoyancy ratio Nr, Brownian motion Nb, thermophoresis Nt, radiation R and Lewis number Le in the presence of internal heat generation. Thermal radiation leads to an appreciable increase in temperature and nanoparticle volume fraction profiles. The Brownian motion and the thermophoresis of nanoparticles increases the effective thermal conductivity of the nanofluid. The slip velocity, the local heat transfer rate and mass transfer rate are significantly increased when the Lewis number and the radiation increase in the presence of internal heat generation.
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Pages: 9-20
WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 10, 2015, Art. #2