THERMAL AND VELOCITY SLIP EFFECTS ON HEAT AND MASS TRANSFER OF A HYDROMAGNETIC MAXWELL FLUID FLOW OVER A STRETCHING SHEET
Abstract
In the present study, the effects of thermal and velocity slip on steady boundary layer magnetohydrodynamic flow, heat and mass transfer of an incompressible upper convected Maxwell fluid over a permeable stretching sheet are analyzed. Similarity transformation technique is adopted to obtain the self-similar coupled nonlinear ordinary differential equations and then the self-similar equations are solved numerically using Runge-Kutta-Fehlberg integration technique with shooting method. The velocity and temperature fields are enhanced by increasing values of velocity and thermal slip parameters respectively. The wall shear stress, rates of heat and mass transfer are enhanced by the increments in the values of thermal and velocity slip parameters. The presence of thermal and velocity slip on the flow fields is found to be of great significance to the investigation.
References
Abel, M.S. and Mahesha, N. (2008). Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat
source and radiation. Applied Mathematical Modeling, 32: 1965-1983.
Adegbie, K.S., Omowaye, A.J., Disu, A.B. and Animasaun, I.L. (2015). Heat and mass transfer of upper convected Maxwell fluid flow with variable thermophysical properties over a horizontal melting surface. Applied Mathematics 6 (08), Article ID:8410. doi:10.4236/am.2015.68129.
Anderson, H.I. (1992). MHD flow of a viscoelastic fluid past a stretching surface. Acta Mechanica, 95: 227-230.
Baoku, I.G. (2014). Effects of suction and thermal radiation on heat transfer in a third grade Fluid over a Vertical Plate. Physical Science: International Journal, 4(9): 1293 - 1310.
Baoku, I.G. and Olajuwon, B.I. (2014). Transient flow and mass transfer of a third grade fluid past a vertical porous plate in the presence of chemical reaction. Nigerian Journal of Science, 48: 47 – 56.
Baoku, I.G., Onifade, Y.S., Adebayo, L.O. and Yusuff, K.M. (2015). Heat and mass transfer in a second grade fluid over a stretching vertical surface in a porous medium. International Journal of Applied Mechanics and Engineering, 20(2): 239 – 255.
Eldabe-Nabil, T.M and Mohammed-Mona, A.A. (2002). Heat and mass transfer in hydromagnetic flow of the non-Newtonian fluid with heat source over an accelerating surface through a porous medium. Chaos Solutions and Fractals, 13: 907-917.
Fetecau, C. and Fetecau, C. (2003). Anew solution for the flow of a Maxwell past an insulated plate. international Journal of Non-Linear Mechanics 38, 423-427.
Fetecau, C. and Fetecau, C. (2003). Decay of potential vortex in a Maxwell fluid. International Journal of Non-Linear Mechanics 38, 985-990.
Fetecau, C. and Fetecau, C. (2003). The Rayleigh Stokes problem for a fluid of Maxwellian type. International Journal of Non-Linear Mechanics 38, 603-607.
Gupta, R.K. and Sridhar, T. (1985). Visco-elastic effects in non-Newtonian flow through porous media. Rheologica Acta 24: 148-151.
Hayat, T. and Qasim, M. (2010). Influence of thermal radiation and Joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis. International Journal of Heat and Mass Transfer, 53(21-22):4780-4788. doi:10.1016/j.ijheatmasstransfer.2010.06.014.
Hayat, T. and Sajid, M. (2006). Serial solution for the upper-convected Maxwell fluid over a porous stretching plate. Physics Letters A, 358: 396-403.
Hayat, T. and Sajid, M. (2007). Homotopy analysis of MHD boundary layer flow of an upper convected Maxwell fluid. International Journal of Engineering Science 45, 393-401.
Hayat, T., Abbas, Z. and Ali, N. (2008). MHD flow and mass transfer of an upper-convected Maxwell fluid past a porous shrinking sheet with chemical reaction species. Physics Letters A, 372(26): 4698-4704. doi:10.1016/j.physleta.2008.05.006.
Hayat, T., Ashraf, B. M., Alsaedi, A. and Shehzad, S. A. (2015). 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, 22(2): 717-726.
Hayat, T., Hina, S. and Hendi, A.A. (2010). Slip effects on the magnetohydrodynamic peristaltic flow of a Maxwell fluid, Z. Naturforsh. 65a, 1123-1136.
Copyright (c) 2023 FUDMA JOURNAL OF SCIENCES
This work is licensed under a Creative Commons Attribution 4.0 International License.
FUDMA Journal of Sciences