Convective heat and mass transfer effects in three-dimensional flow of Maxwell fluid over a stretching surface with heat source

T. Hayat , M. Bilal Ashraf , A. Alsaedi , S. A. Shehzad

Journal of Central South University ›› 2015, Vol. 22 ›› Issue (2) : 717 -726.

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Journal of Central South University ›› 2015, Vol. 22 ›› Issue (2) : 717 -726. DOI: 10.1007/s11771-015-2575-x
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Convective heat and mass transfer effects in three-dimensional flow of Maxwell fluid over a stretching surface with heat source

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Abstract

Heat and mass transfer effects in three-dimensional flow of Maxwell fluid over a stretching surface were addressed. Analysis was performed in the presence of internal heat generation/absorption. Concentration and thermal buoyancy effects were accounted. Convective boundary conditions for heat and mass transfer analysis were explored. Series solutions of the resulting problem were developed. Effects of mixed convection, internal heat generation/absorption parameter and Biot numbers on the dimensionless velocity, temperature and concentration distributions were illustrated graphically. Numerical values of local Nusselt and Sherwood numbers were obtained and analyzed for all the physical parameters. It is found that both thermal and concentration boundary layer thicknesses are decreasing functions of stretching ratio. Variations of mixed convection parameter and concentration buoyancy parameter on the velocity profiles and associated boundary layer thicknesses are enhanced. Velocity profiles and temperature increase in the case of internal heat generation while they reduce for heat absorption. Heat transfer Biot number increases the thermal boundary layer thickness and temperature. Also concentration and its associated boundary layer are enhanced with an increase in mass transfer Biot number. The local Nusselt and Sherwood numbers have quite similar behaviors for increasing values of mixed convection parameter, concentration buoyancy parameter and Deborah number.

Keywords

Maxwell fluid / mixed convection / convective conditions / three-dimensional flow / internal heat generation/absorption

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T. Hayat, M. Bilal Ashraf, A. Alsaedi, S. A. Shehzad. Convective heat and mass transfer effects in three-dimensional flow of Maxwell fluid over a stretching surface with heat source. Journal of Central South University, 2015, 22(2): 717-726 DOI:10.1007/s11771-015-2575-x

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