ORIGINAL PAPER
Mixed Convection In The Stagnation-Point Flow Over A Vertical Stretching Sheet In The Presence Of Thermal Radiation
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Department of Engineering Mathematics, Christ University Faculty of Engineering, Kanminike, Kumbalgodu, Mysore Road, Bengaluru-560074 Karnataka-State, INDIA
 
2
Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, INDIA
 
 
Online publication date: 2015-12-10
 
 
Publication date: 2015-12-01
 
 
International Journal of Applied Mechanics and Engineering 2015;20(4):871-888
 
KEYWORDS
ABSTRACT
An unsteady two-dimensional stagnation-point mixed convection flow of a viscous, incompressible dusty fluid towards a vertical stretching sheet has been examined. The stretching velocity and the free stream velocity are assumed to vary linearly with the distance from the stagnation point. The problem is analyzed using similarity solutions. The similarity ordinary differential equations were then solved numerical by using the RKF-45 method. The effects of various physical parameters on the velocity profile and skin-friction coefficient are also discussed in this paper. Some important findings reported in this work reveal that the effect of radiation has a significant impact on controlling the rate of heat transfer in the boundary layer region.
 
REFERENCES (23)
1.
Abdul Aziz (2009): A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. – Com. Non. Sci. Numer. Simulat., vol.14, pp.1064-1068.
 
2.
Brewster M.Q. (1972): Thermal Radiative Transfer Properties. – John Wiley and Sons.
 
3.
Chen C.H. (1998): Laminar mixed convection adjacent to vertical, continuously stretching sheets. – Heat Mass Transfer, vol.33, pp.471-476.
 
4.
Chiam T.C. (1996): Heat transfer with variable conductivity in a stagnation-point flow towards a stretching sheet. – Int. Comm. Heat Mass Transfer, vol.23, pp.239-248.
 
5.
Devi C.D.S., Takhar H.S. and Nath G. (1991): Unsteady mixed convection flow in stagnation region adjacent to a vertical surface. – Heat Mass Transfer, vol.26, pp.71-79.
 
6.
Gireesha B.J., Manjunatha S. and Bagewadi C.S. (2011): Unsteady hydromagnetic boundary layer flow and heat transfer of dusty fluid over a stretching sheet. – Int. J. Afrika Metametika, vol.22 (In press).
 
7.
Gireesha B.J., Ramesh G.K., Subhas Abel M. and Bagewadi C.S. (2011): Boundary layer flow and heat transfer of a dusty fluid flow over a stretching sheet with non- uniform heat source /sink. – Int. J. Multiphase Flow, vol.37, No.8, pp.977-982.
 
8.
Gireesha B.J., Ramesh G.K., Lokesh H.J. and Bagewadi C.S. (2011): Boundary layer flow and heat transfer of a dusty fluid over a stretching vertical surface. – Applied Mathematics, vol.2, pp.475-481.
 
9.
Hiemenz K. (1911): Dei Grenzschicht an einem in den gleichformigen Flussigkeitsstrom eingetauchten geradenKreiszylinder. – Dingl. Polytech. Journal, vol.32, 321-410.
 
10.
Ishak A. (2010): Thermal boundary layer flow over a stretching sheet in a micropolr fluid with radiation effect. – Meccanica, vol.45, pp.367-373.
 
11.
Ishak A., Nazar R. and Pop I. (2006): Magnetohydrodynamic stagnation-point flow towards a stretching vertical sheet. – Magnetohydrodynamics, vol.42, pp.17-30.
 
12.
Ishak A., Nazar R. and Pop I. (2006): Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet. – Meccanica, vol.41, pp.509-518.
 
13.
Lok Y.Y., Amin N., Campean D. and Pop I. (2005): Steady mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface. – Int. J. Numerical Methods Heat Fluid Flow, vol.15, pp.654-670.
 
14.
Lok Y.Y., Amin N. and Pop I. (2006): Unsteady mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface. – Int. J. Thermal Sci., vol.45, pp.1149-1157.
 
15.
Mahapatra T.R. and Gupta A.S. (2001): Magnetohydrodynamic stagnation-point flow towards a stretching sheet. – Acta Mech., vol.152, 191-196.
 
16.
Nazar R., Amin N., Filip D. and Pop I. (2004): Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet. – Int. J. Engng. Sci., vol.42, pp.1241-1253.
 
17.
Pop I., Pop S.R. and Grosan T. (2004): Radiation effect on flow near the stagnation point. – Technische Mechanik, vol.2, pp.100-106.
 
18.
Ramachandran N., Chen T.S. and Armaly B.F. (1988): Mixed convection in stagnation flows adjacent to avertical surfaces. – ASME J. Heat Transfer, vol.7, No.110, 373-377.
 
19.
Schlichting H. (1968): Boundary Layer Theory. – New York: McGraw-Hill.
 
20.
Shercliff J.A. (1965): A Text Book of Magneto-Hydromagnetics. – London: Pergamon Press.
 
21.
Singh P., Jangid A., Tomer N.S. and Sinha D. (2010): Effects of thermal radiation and magnetic field on unsteady stretching permeable sheet in presence of free stream velocity. – Int. J. of Information and Mathematical Sciences, vol.03, pp.160-166.
 
22.
Takhar H.S., Chamkha A.J. and Nath G. (2005): Unsteady mixed convection on the stagnation-point flow adjacent to a vertical plate with a magnetic field. – Heat Mass Transfer, vol.41, pp.387-398.
 
23.
Vajravelu K. and Nayfeh J. (1992): Hydromagnetic flow of a dusty fluid over a stretching sheet. – Int. J. Nonlinear Mechanics, vol.27, No.6, pp.937-945.
 
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ISSN:1734-4492
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