Journal of Advances in Mathematics and Computer Science, ISSN: 2456-9968, ISSN: 2231-0851 (Past),Vol.: 28, Issue.: 1
Influence of Chemical Reaction, Viscous Dissipation and Joule Heating on MHD Maxwell Fluid Flow with Velocity and Thermal Slip over a Stretching Sheet
I. G. Baoku1* 1Department of Mathematical Sciences, Federal University, Dutsin-Ma, Katsina State, Nigeria.
I. G. Baoku1*
1Department of Mathematical Sciences, Federal University, Dutsin-Ma, Katsina State, Nigeria.
(1) Dr. Mehmet Sirin Demir, Professor, Department of Mechanical Engineering, Faculty of Engineering, Istanbul University, Avcilar Campus 34320 Istanbul, Turkey.
(1) Jawad Raza, Universiti Utara Malaysia, Malaysia.
(2) Imdat Taymaz, Sakarya University, Turkey.
Complete Peer review History: http://www.sciencedomain.org/review-history/25478
A numerical integration scheme involving a fourth-fifth Runge-Kutta-Fehlberg method (RKF45) with shooting technique is employed to investigate a steady laminar incompressible forced convective flow of an upper-convected Maxwell fluid which is subjected to a transversely uniform magnetic field past a stretching sheet. Taking into account the velocity and thermal slip boundary conditions, the chemically reactive Maxwell fluid is examined in the presence of viscous dissipation and Joule heating. Using the similarity transformations, the momentum, energy and species concentration equations are transformed into a set of coupled nonlinear ordinary differential equations while the continuity equation is satisfied. The RKF45 solutions are obtained; verified with other results by homotopy analysis method that have been previously published in the literature and are found to be in good agreement. This close agreement supports the present analysis and accuracy of the numerical computations. The effects of the emerging flow parameters on the dimensionless velocity, temperature and species concentration distributions have been presented graphically and discussed. This article also includes a representative set of numerical results for local skin friction coefficient, Nusselt and Sherwood numbers in tables for various values of the governing parameters. It is concluded that the thermal boundary layer thickness is increased by increasing values of Hartmann number, Eckert number and thermal slip parameter while the local Nusselt and Sherwood numbers are enhanced by increments in the values of suction and stretching parameters.
Velocity slip; thermal slip; Maxwell fluid; magneto hydrodynamics; chemical reaction; viscous dissipation; Joule heating.
DOI : 10.9734/JAMCS/2018/42481Review History Comments