Hostname: page-component-848d4c4894-8bljj Total loading time: 0 Render date: 2024-06-24T18:26:21.504Z Has data issue: false hasContentIssue false
  • English
  • Français

Effects of Variable Fluid Properties on MHD Flow and Heat Transfer over a Stretching Sheet with Variable Thickness

Published online by Cambridge University Press:  24 October 2016

K. V. Prasad ,
H. Vaidya ,
K. Vajravelu  and
M. M. Rashidi
K. V. Prasad*
Affiliation:
Department of MathematicsVSK UniversityBellary, India
H. Vaidya
Affiliation:
Department of MathematicsVSK UniversityBellary, India
K. Vajravelu
Affiliation:
Department of MathematicsDepartment of Mechanical Materials and Aerospace EngineeringUniversity of Central FloridaOrlando, USA
M. M. Rashidi
Affiliation:
Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management SystemsTongji UniversityShanghai, China ENN-Tongji Clean Energy Institute of Advanced StudiesShanghai, China
*
*Corresponding author (prasadkv2007@gmail.com)
Get access

Abstract

The influence of temperature-dependent fluid properties on flow and heat transfer of an electrically conducting fluid over a stretching sheet with variable thickness in the presence of a transverse magnetic field is analyzed. Using similarity transformations, the governing coupled non-linear partial differential equations (momentum and energy equations) are transformed into a system of coupled non-linear ordinary differential equations and are solved numerically by Keller-box method. For increasing values of the wall thickness parameter, the analysis reveals quite interesting flow and heat transfer patterns. The effects of the temperature dependent viscosity, the wall velocity power index, the thermal conductivity, the wall temperature parameter and the Prandtl number on the flow and temperature fields are presented. The obtained numerical results are compared with the available results in the literature for some special cases and are found to be in excellent agreement. The skin friction and the wall temperature gradient are presented for different values of the physical parameters and the salient features are analyzed.

Keywords

Variable thicknessSkin frictionNusselt numberFinite difference method
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 4 , August 2017 , pp. 501 - 512
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Sakiadis, B.C., “Boundary layer behavior on continuous solid surfaces,” American Institute of Chemical Engineers Journal, 7, pp. 26–28 (1961).Google Scholar
2. Crane, L.J., “Flow past a stretching plate”, Zeitschrift für Angewandte Mathematik und Physik, 21, pp. 645–647 (1970).Google Scholar
3. Ali, M. E., “Heat transfer characteristics of a continuous stretching surface,” Heat Mass Transfer, 29, pp. 227–234 (1994).Google Scholar
4. Abbas, Z., Rasool, S. and Rashidi, M.M., “Heat transfer analysis due to an unsteady stretching/shrinking cylinder with partial slip condition and suction,” Ain Shams Engineering Journal, 6, pp. 939–945 (2015).Google Scholar
5. Rosca, A.V., Rosca, N. C. and Pop, I., “Numerical simulation of the stagnation point flow past a permeable stretching/shrinking sheet with convective boundary condition and heat generation,” International Journal of Numerical Methods for Heat and Fluid Flow, 26, pp348–364 (2016).Google Scholar
6. Andersson, H. I., Bech, K. H. and Dandapat, B. S., “Magnetohydrodynamic flow of a power law fluid over a stretching sheet”, International Journal of Non-Linear Mechanics, 27, pp. 929–936 (1992).Google Scholar
7. Abo-Eldahab, E.M., “Hydro magnetic three-dimensional flow over a stretching surface with heat and mass transfer,” Heat Mass Transfer, 41, pp. 734–743 (2005).Google Scholar
8. Rashidi, M.M., Vishnu Ganesh, N., Abdul Hakeem, A.K. and Ganga, B., “Buoyancy Effect on MHD Flow of Nanofluid over a Stretching Sheet in the Presence of Thermal Radiation,” Journal of Molecular Liquids, 198, pp. 234–238 (2014).Google Scholar
9. Freidoonimehr, N., Rashidi, M.M. and Mahmud, S., “Unsteady MHD free convective flow past a permeable stretching vertical surface in a nano-fluid,” International Journal of Thermal Sciences, 87, pp. 136–145 (2015).Google Scholar
10. Rashidi, M.M., Momoniat, E. and Rostami, B., “Analytic approximate solutions for MHD boundary-layer viscoelastic fluid flow over continuously moving stretching surface by homotopy analysis method with two auxiliary parameters,” Journal of Applied Mathematics, Article ID 780415 (2012).Google Scholar
11. Chamkha, A. J., EL-Kabeir, S.M.M. and Rashad, A.M., “Unsteady coupled heat and mass transfer by mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface in the presence of radiation and chemical reaction” Progress in Computational Fluid Dynamics, 15, pp. 186–196 (2015).Google Scholar
12. Anjali Devi, S. P. and Thiyagarajan, M., “Steady Nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature,” Heat and Mass Transfer, 42, pp. 671–677 (2006).Google Scholar
13. Akyildiz, T., Siginer, D.A., Vajravelu, K., Cannon, J.R. and Van Gorder, R.A., “Similarity solutions of the boun,” Mathematial Methods in Applied. Sciences, 33, pp. 601–606 (2010).Google Scholar
14. Van Gorder, R.A. and Vajravelu, K., “A note on flow geometries and the similarity solutions of the boundary layer equations for a nonlinearly stretching sheet,” Archive of Applied Mechanics, 80, pp. 1329–1332 (2010).Google Scholar
15. Fang, T., Zhang, J. and Zhong, Y., “Boundary layer flow over a stretching sheet with variable thickness,” Applied Mathematics and Computation, 218, pp. 7241–7252 (2012).Google Scholar
16. Khader, M. M. and Megahed, A.M., “Boundary Layer Flow Due to a Stretching Sheet with a Variable Thickness and slip Velocity,” Journal of Applied Mechanics and Technical Physics, 56, pp 241–247 (2015).Google Scholar
17. Vajravelu, K., Prasad, K.V. and Raju, B.T., “Effects of variable fluid properties on the thin film flow of Ostwald-de Waele fluid over a stretching surface,” Journal of Hydrodynamics Series B, 25, pp. 10–19 (2013).Google Scholar
18. Prasad, K. V., Vajravelu, K. and Datti, P. S., “The effects of variable fluid properties on the hydromagnetic flow and heat transfer over a non-linearly stretching sheet,” International Journal of Thermal Sciences, 49, pp. 603–610 (2010).Google Scholar
19. Vajravelu, K. and Prasad, K.V., Keller-Box Method and its Application, HEP and Walter De Gruyter GmbH, Berlin/Boston (2014).Google Scholar