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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2017019614
pages 467-481

MHD MIXED BIOCONVECTION STAGNATION-POINT FLOW OF A NANOFLUID TOWARD STRETCHING SURFACES WITH VISCOUS DISSIPATION AND JOULE HEATING EFFECTS

Zehba A. Raizah
Department of Mathematics, Faculty of Science for Girls, Abha, King Khalid University, Saudia Arabia

ABSTRACT

This paper discusses the effects of viscous dissipation and Joule heating on the mixed convective flow of a nanofluid over a stretching surface in the presence of both nanoparticles and gyrotactic microorganisms. The nanofluid is represented by the model that includes both the effects of Brownian motion and thermophoresis. The flux of the nanoparticle volume fraction is equal to zero at the wall. Similarity transformations are used to reduce the original governing equations embodying the conservation of mass, momentum, thermal energy, nanoparticle volume fraction, and the conservation equation for microorganisms to a set of five ordinary differential equations. The obtained equations are solved numerically using an efficient, iterative, tri-diagonal, implicit finite difference method. It is found that the increase in the thermophoresis parameter and Eckert number has a positive effect on the local skin friction coefficient; however, its negative effect can be observed on the local density number of the motile microorganisms. Also, the rescaled nanoparticle volume fraction decreases as the Lewis number and Brownian motion increase.


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