International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.4, No.3, Sep. 2018, Pub. Date: Jun. 14, 2018
Heat and Mass Transfer of a Maxwell Nanofluid over a Stretching Surface with Variable Thickness Embedded in Porous Medium
Pages: 86-98 Views: 1553 Downloads: 889
Authors
[01] Elsayed Mohamed Abdel Rahman Elbashbeshy, Mathematics Department, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt.
[02] Khaled Mohamed Abdelgaber, Department of Physics & Engineering Mathematics, Faculty of Engineering, Mataria, Helwan University, Cairo, Egypt.
[03] Hamada Galal Asker, Department of Physics & Engineering Mathematics, Faculty of Engineering, Mataria, Helwan University, Cairo, Egypt.
Abstract
In the presence of a heat source, heat and mass transfer of the flow of a Maxwell nanofluid over a stretching surface with variable thickness embedded in a porous medium is investigated. The governing equations are reduced to nonlinear ordinary differential equations by using similarity transformations. These equations are then solved numerically by Rung-Kutta fourth/fifth order method coupled with shooting technique. The results for the local skin friction, Nusselt number, and Sherwood number are presented and discussed graphically. The effects of variable thickness, heat source, and medium porosity on the dimensionless velocity, temperature, and concentration of the nanofluid are analyzed graphically. Results are compared with earlier published results under special cases.
Keywords
Maxwell Fluid, Stretching Surface, Variable Thickness, Nanofluid, Porous Medium, Heat Generation/Absorption Source
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