Influence of Thermal Stratification on Mhd Heat Transfer Flow Over an Exponentially Stretching Surface

Authors

  • J. Venkata Madhu  Department of Science and Humanities, Sreenidhi Institute of Science and Technology, Ghatkesar, Hyderabad, Telangana, India
  • B. Shashidar Reddy  Department of Science and Humanities, Sreenidhi Institute of Science and Technology, Ghatkesar, Hyderabad, Telangana, India

Keywords:

Thermal Stratification, Suction, Finite Difference Scheme, Magnetic parameter, Quasi-linearization.

Abstract

This study presents a mathematical analysis of MHD heat transfer flow over an exponentially stretching surface embedded in a thermally stratified medium. The similarity transformation technique is used to convert the governing partial differential equations into the ordinary differential equations and solved numerically using Finite difference scheme. The numerical solutions for dimensionless velocity and temperature profiles for various governing parameters are obtained and the results are discussed graphically.

References

  1. Sakiadis,B.C. Boundary-layer behavior on continuous solid surfaces: Boundary-layer? equations for two-dimensional and axisymmetric flow, AIChE J.,7, pp.26-28 1961
  2. L.J. Crane. Flow past a stretching sheet. Z.Angew.Math. Phys, 21 pp.645-647 1970
  3. P.S. Gupta, A.S. Gupta, Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng. 55 (1977) 744-746.
  4. V. Kumaran, G. Ramanaiah, A note on the flow over a stretching sheet, Acta Mech. 116 (1996) 229-233.
  5. Mahapatra, T.R. and Gupta, A.S., "Magnetohydrodynamic stagnation-point flow towards a stretching sheet", Acta Mech. 2001, 152, 191-196.
  6. Mahapatra, T.R., Nandy, S.K. and Gupta, A.S., "Analytical solution of magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surface", Applied Mathematics and Computation 2009,215,1696-1710.
  7. D Makinde and A Aziz. Mixed convection from a convectively heated vertical plate to a fluid with internal heat generation. J. Heat Transfer 2011; 133, 122501.
  8. WA Khan and I Pop. Flow and heat transfer over a continuously moving flat plate in a porous medium. J. Heat Transfer 2011; 133, 0504501.
  9. VG Fox, LE Erickson and LE Fan. Methods for solving boundary layer equations for moving continuous flat surfaces with suction and injection. AIChE Journal 1969; 14, 726-36.
  10. D Pal. Combined effects of non-uniform heat source / sink and thermal radiation on heat transfer over an unsteady stretching permeable surface. Commun. Nonlinear Sci. Numer. Simulat. 2011; 16, 1890-904.
  11. M. Sajid, T. Hayat, Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet, Int. Commun. Heat Mass Transfer 35 (2008) 347-356.
  12. B. Bidin, R. Nazar, Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation, Eur. J. Sci. Res. 33 (4) (2009) 710-717.
  13. K. Bhattacharyya, Effects of radiation and heat source/sink on unsteady MHD boundary layer flow and heat transfer over a shrinking sheet with suction/injection, Front. Chem. Sci. Eng. 5 (2011) 376-384.
  14. S. Mukhopadhyay, Slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction/blowing and thermal radiation, Ain Shams Eng. J. (2012), <http:// dx.doi.org/10.1016/j.asej.2012.10.007>.
  15. K.T. Yang, J.L. Novotny, Y.S. Cheng, Laminar free convection from a non-isothermal plate immersed in a temperature stratified medium, Int. J. Heat Mass Transfer 15 (1972) 1097- 1109.
  16. Y. Jaluria, B. Gebhart, Stability and transition of buoyancy induced flows in a stratified medium, J. Fluid Mech. 66 (1974) 593-612.
  17. C.C. Chen, R. Eichhorn, Natural convection from simple bodies immersed in thermally stratified fluids, ASME J. Heat Transfer 98 (1976) 446-451.
  18. A. Ishak, R. Nazar, I. Pop, Mixed convection boundary layer flow adjacent to a vertical surface embedded in a stable stratified medium, Int. J. Heat Mass Transfer 51 (2008) 3693-3695.
  19. Swati M, MHD boundary layer flow and heat transfer over an exponentially stretching sheet embedded in a thermally stratified medium, Alexandria Engineering Journal (2013) 52, 259-265.
  20. Bellman, R.E. and Kalaba, R.E. (1965). Quasi-Linearization and Non-linear boundary value problems,? NewYork, Elsevier.

International Journal of Scientific Research in Science and Technology

Downloads

Published

2018-02-28

Issue

Volume 4, Issue 2, January-February-2018

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
J. Venkata Madhu, B. Shashidar Reddy, " Influence of Thermal Stratification on Mhd Heat Transfer Flow Over an Exponentially Stretching Surface, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 4, Issue 2, pp.832-838, January-February-2018.