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Thermal Radiation Effect on MHD Stagnation Point Flow of a Carreau Fluid with Convective Boundary Condition
Current Issue
Volume 3, 2015
Issue 5 (October)
Pages: 121-127   |   Vol. 3, No. 5, October 2015   |   Follow on         
Paper in PDF Downloads: 96   Since Aug. 28, 2015 Views: 2070   Since Aug. 28, 2015
Authors
[1]
S. Suneetha, Applied Mathematics Department, Yogi Vemana University, Kadapa, Andhra Pradesh, India.
[2]
K. Gangadhar, Mathematics Department, Acharya Nagarjuna University Ongole Campus, Ongole, Andhra Pradesh, India.
Abstract
This paper analyses the effect of thermal radiation on a two-dimensional stagnation-point flow of an in-compressible magneto-hydrodynamic Carreau fluid toward a shrinking surface in the presence of convective boundary condition. Using the similarity transformations, the governing equations have been transformed into a system of ordinary differential equations. The resultant differential equations are solved numerically, by using bvp4c MATLAB solver. The behavior of the velocity and temperature as well as the skin-friction coefficient and the local Nusselt number for different values of the governing parameters, namely, magnetic parameter, power law index parameter, suction/blowing parameter, radiation parameter and convective parameter are discussed in detail.
Keywords
Carreau Fluid, Heat Transfer, Convective Surface Boundary Condition, MHD, Radiation, Stagnation Point Flow
Reference
[1]
Kai-Long Hsiao, MHD mixed convection for viscoelastic fluid past a porous wedge, International Journal of Non-Linear Mechanics, January 2011, 46, 1–8(2011).
[2]
Crane, L.J., “Flow past a stretching sheet”, Z Angew Math Phys (ZAMP), 21, 645–647(1970).
[3]
Chen, C.H., “Laminar mixed convection adjacent to vertical, continuously stretching sheets”, Heat and Mass Transfer, 33, 471–476 (1998).
[4]
Kai-Long Hsiao, Heat and Mass Mixed Convection for MHD Viscoelastic Fluid Past a Stretching Sheet with Ohmic Dissipation, July 2010, Communications in Nonlinear Science and Numerical Simulation, 15 (2010) 1803–1812
[5]
Nadeem S. Hussain A,” HAM solutions for boundary layer flow in the region of stagnation point towards a stretching sheet”, Commun Nonlinear Science Number Sim, 15, 475-81(2010).
[6]
Makinde O.D. and Charles W.M., “ Computational dynamics of hydro magnetic stagnation flow towards a stretching sheet”, Appl. Comput .Math., 9(2),243-251(2010).
[7]
Kai-Long Hsiao, MHD Stagnation Point Viscoelastic Fluid Flow and Heat Transfer on a Thermal Forming Stretching Sheet with Viscous Dissipation, Canadian Journal of Chemical Engineering ,89 (2011)1228–1235
[8]
Ali, N., Hayat, T., “Peristaltic Motion of a Carreau Fluid in an Asymmetric Channel”, Appl. Math. Com-put.,193, 2, 535-552(2007).
[9]
Hayat, T., Saleem, N., Ali, N.,” Effect of Induced Magnetic Field on Peristaltic Transport of a Carreau Fluid”, Commun Nonlinear Sci. Numer. Simulat, 15, 9, 2407-2423(2010).
[10]
Olajuwon, B.I.,” Convection heat and mass transfer in a hydro magnetic Carreau fluid past a vertical porous plate in presence of thermal radiation and thermal diffusion”, Thermal Science, 15, 2, S241-S252 (2011).
[11]
Mohamed Y. Abou-zeid, “Numerical Treatment of Heat and Mass Transfer of MHD Flow of Carreau Fluid with Diffusion and Chemical Reaction through a Non Darcy Porous Medium”, The Open Mathematics Journal, 2, 22-35(2009).
[12]
Akbar, N.S., Nadeem, S., Rizwan U Haq, Shiwei Ye, “MHD stagnation point flow of Carreau fluid toward a permeable shrinking sheet: Dual solutions”, Ain Shams Engineering Journal 5, 1233-1239 (2014).
[13]
Shakhaoath, K Md., Ifsana, K., Haider Ali, B Md., Non-Newtonian MHD mixed convective power-Law fluid flow over a vertical stretching sheet with thermal radiation, heat generation and chemical reaction effects” Acad. Res. Int., 3(3), 80–92 (2012).
[14]
Gangadhar, K., “Soret and Dufour Effects on Hydro Magnetic Heat and Mass Transfer over a Vertical Plate with a Convective Surface Boundary Condition and Chemical Reaction”, Journal of Applied Fluid Mechanics, 6, 1, 95-105(2013).
[15]
Zhu J, Zheng L.C., and Zhang X.X., “ The influence of thermal radiation on MHD stagnation point flow past a stretching sheet with heat generation”, Acta Mech.Sin.,27(4),502-509(2011).
[16]
El-Arabawy, H.A.M., “ Effect of suction/injection on the flow of a micro polar fluid past a continuously moving plate in the presence of radiation”, Int. J. Heat Mass Transfer, 46, 1471–1477(2003).
[17]
Shampine, L. F. and Kierzenka J., “Solving boundary value problems for ordinary differential equations in MATLAB with bvp4c,” Tutorial Notes(2000).
[18]
Hiemenz ,K, “Die grenzschicht an einem in dengleichformingenFlussigkeitsstrmeinge-tauchtengradenKrei szylinder”, Dinglers polytech.J., 326, 321-324(1911)
[19]
Mahapatra, T.R., Nandy, “Stability of dual solutions in Stagnation point flow and heat transfer over a porous shrinking sheet with thermal radiation”, Meccanica, 48,23–32 (2013).
[20]
Wang, C. Y., “Stagnation flow towards a shrinking sheet”, Int J Non- Linear Mech., 43,377–382(2008).
[21]
Lok, Y.Y., Amin, N., and Pop. I, “Non-orthogonal stagnation point towards a stretching sheet”, Int J Non-Linear Mech., 41, 4, 622–627(2006).
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