ORIGINAL PAPER
Radiation Effects on MHD Boundary Layer Flow and Heat Transfer Over a Nonlinear Stretching Surface with Variable Wall Temperature in the Presence of Non-Uniform Heat Source/Sink
 
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1
Department of Applied Mathematics, Bharathiar University, Coimbatore-, 46, Tamil Nadu, India
 
2
Department of Mathematics, Sri Shakthi Institute of Engineering and Technology, Coimbatore-, 62, Tamil Nadu, India
 
 
Online publication date: 2018-06-04
 
 
Publication date: 2018-05-01
 
 
International Journal of Applied Mechanics and Engineering 2018;23(2):289-305
 
KEYWORDS
ABSTRACT
In this paper, an investigation is made to analyze the effects of radiation on an MHD boundary layer flow and heat transfer over a nonlinear stretching surface with variable wall temperature and non-uniform heat source/sink. A suitable similarity transformation is used to transform the governing nonlinear partial differential equations into a system of nonlinear ordinary differential equations by using the Nachtsheim Swigert shooting iteration technique together with the fourth order Runge Kutta method. The effects of various physical parameters over a dimensionless velocity and dimensionless temperature are presented graphically. The numerical results for the skin friction co-efficient and non-dimensional rate of heat transfer are presented and discussed for several sets of values of the parameters. Comparisons of numerical results are made with the earlier published results under limiting cases.
 
REFERENCES (30)
1.
Sakiadis B.C. (1961): Boundary layer behavior on continuous solid surfaces: I. Boundary layer equations for two dimensional and axisymmetric flow. - AICHE Journal, vol.7, pp.26-28.
 
2.
Sakiadis B.C. (1961): Boundary layer behavior on continuous solid surfaces: II Boundary layer on a continuous flat surface. - AICHE Journal, vol.7, pp.221-225.
 
3.
Crane L.J. (1970): Flow past a stretching plate. - Zeitschrift für Angewandte Mathematik und Physik, vol.21, No.4, pp.645-647.
 
4.
Banks W.H.H. (1983): Similarity solutions of the boundary-layer equations for a stretching wall. - Journal de Mecanique Theorique et Appliquee, vol.2, pp.375-392.
 
5.
Kumaran V. and Ramanaiah G. (1996): A note on the flow over a stretching sheet. – Acta Mechanica, vol.116, pp.229–233.
 
6.
Soundatgekar V.M. and Ramana Murty T.V. (1980): Heat transfer past a continuous moving plate with variable temperature. - Wärme und Stofffibertragung, pp.91-93.
 
7.
Carragher P. and Crane L.J. (1982): Heat transfer on a continuous stretching sheet. - Journal of Applied Mathematics and Mechanics, vol.62, pp.564–565.
 
8.
Grubka L.J. and Bobba K.M. (1985): Heat transfer characteristic of a continuous surface with variable temperature.- Journal of Heat Transfer, vol.107, pp.248-255.
 
9.
Noor Afzal (1993): Transfer from a stretching surface. - International Journal of Heat and Mass Transfer, vol.36, No.4, pp.1128-1131.
 
10.
Ali M.E. (1994): Analysis on the heat transfer over a continuous stretching surface. - Springer -Vertag, vol.29, pp.227-234.
 
11.
Vajravelu K. (2001): Viscous flow over a nonlinearly stretching sheet.-Applied Mathematics and Computation, vol.124, pp.281-288.
 
12.
Cortell R. (2007): Viscous flow and heat transfer over a nonlinearly stretching sheet. - Applied Mathematics and Computation, vol.184, No.2, pp.864–873.
 
13.
Akyildiz F.T., Siginer D.A., Vajravelu K., Cannon J.R. and Van Gorder R.A. (2010): Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. - Mathematical Methods in the Applied Sciences, vol.33, No.5, pp.601-606.
 
14.
Chakrabarti A. and Gupta A.S. (1979): Hydromagnetic flow and heat transfer over a stretching sheet. - Quarterly of Applied Mathematics, vol.37, pp.73–78.
 
15.
Andersson H.I. (1995): An exact solution of the Navier–Stokes equations for magnetohydrodynamic flow. - Acta Mechanica, vol.113, pp.241–244.
 
16.
Chaim T.C. (1995): Hydromagnetic flow over a surface stretching with a power-law velocity. - International Journal of Engineering Science, vol.33, pp.429-435.
 
17.
Anjali Devi S.P. and Thiyagarajan. M. (2006): Steady nonlinear hydromagnetic flow and heat transfer over a stretching surface of variable temperature. - Heat Mass Transfer, vol.42, pp.671-677.
 
18.
Anjali Devi S.P. and David Maxim Gururaj A. (2012): Effects of variable viscosity and nonlinear radiation on MHD flow with heat transfer over a surface stretching with a power-law velocity.- Advances in Applied Science Research, vol.3, No.1, pp.319-334.
 
19.
Vajravelu K. and Rollin D. (1992): Heat transfer in an electrically conducting fluid over a stretching surface. - International Journal of Non-linear Mechanics, vol.27, pp.265.
 
20.
Elbashbeshy E.M.A. and Bazid. M.A.A. (2003): Heat transfer over a stretching surface with internal heat generation. - Canadian Journal of Physics, vol.81, pp.699-706.
 
21.
Emad M. Abo-Eldahab and Mohamed A. El Aziz. (2004): Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption. - International Journal of Thermal Science, vol.43, pp.709–719.
 
22.
Subhas Abel M., Siddheshwar P.G. and Mahantesh M. Nandeppanavar (2007): Heat transfer in a viscoelastic boundary layer flow over a stretching sheet with viscous dissipation and non-uniform heat source. - International Journal of Heat and Mass Transfer, vol.50, pp.960-966.
 
23.
Nandeppanavar M.M., Siddalingappa M.N. and Jyoti H. (2013): Heat transfer of viscoelastic fluid flow due to nonlinear stretching sheet with internal heat source.- International Journal of Applied Mechanics and Engineering, vol.18, No.3, pp.739-760.
 
24.
Viskanta R. and Grosh R.J. (1962): Heat transfer by simultaneous conduction and radiation in an absorbing medium. - Journal of Heat Transfer, vol.84, pp.63-72.
 
25.
Rapits A. and Massalas C.V. (1998): Magnetohydrodynamic flow past a plate by the presence of radiation.- Heat and Mass Transfer, vol.34, pp.107.
 
26.
Raptis A., Perdikis C. and Takhar H.S. (2004): Effect of thermal radiation on MHD flow.-Applied Mathematics and Computation, vol.153, pp.645-49.
 
27.
Bataller R.C. (2008): Radiation effects in the Blasius flow. - Applied Mathematics and Computation, vol.198, pp.333-338.
 
28.
Siti K.S., Seripah A.K., Ahmad H.M.S., Nur Z.I. and Siti N.S. Ab. H. (2012): Hydromagnetic boundary layer flow over stretching surface with thermal radiation. - World Applied Sciences Journal, vol.17, pp.33-38.
 
29.
Yahaya S.D. and Simon K.D. (2015): Effects of buoyancy and thermal radiation on MHD flow over a stretching porous sheet using homotopy analysis method. - Alexandria Engineering Journal, vol.54, pp.705–712.
 
30.
Mahantesh M.N., Vajravelu K. and Datti P.S. (2016): Optimal homotopy asymptotic solutions for nonlinear ordinary differential equations arising in flow and heat transfer due to nonlinear stretching sheet. - Heat Transfer-Asian Research, vol.45, No.1.
 
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