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Effect of thermal stratification on MHD free convection flow of a micropolar fluid over a stretching surface

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Języki publikacji
EN
Abstrakty
EN
This paper analyses the flow and heat transfer characteristics of free convection in the boundary layer flow of a micropolar fluid past a stretching surface with magnetic field, thermal stratification, and heat generation or absorption effects. A similarity transformation was employed to change the governing momentum, angular momentum, and energy partial differential equations into ordinary ones. Then the numerical solution of the problem is derived using the Runge-Kutta Gill method. The sheet is linearly stretched in the presence of a uniform free stream of constant velocity. Numerical results are shown in a tabular form and graphically for the velocity, angular velocity, and temperature as well as the skin-friction and wall heat transfer rate and discussed for various physical parametric values.
Rocznik
Strony
763--773
Opis fizyczny
Bibliogr. 20 poz., tab., wykr.
Twórcy
autor
  • Mathematics Department, Faculty of Science South Valley University Qena, EGYPT, mahdy4@yahoo.com
Bibliografia
  • Ahmadi G. (1976): Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate. - Int. J. Engng. Sci., vol.14, pp.639-646.
  • Bhattacharyya S. and Pop I. (1996): Free convection from cylinders of elliptic cross-section in micropolar fluids. - Int. J. Engng. Sci., vol.34, pp.1301-1310.
  • Ching-Yang Cheng (2008): Natural convection of a micropolar fluid from a vertical truncated cone with power-law variation in surface temperature. - Int. Commu. Heat Mass Transfer, vol.35, pp.39-46.
  • Eldabe N.T. and Ouaf E.M. (2006): Chebyshev finite difference method for heat and mass transfer in a hydromagnetic flow of a micropolar fluid past a stretching surface with Ohmic heating and viscous dissipation. - Appl. Math. Comp., vol.177, pp.561-571.
  • El-Hakiem M.A. (2004): Natural convection in a micropolar fluid with thermal dispersion and internal heat generation. - Int. Commu. Heat Mass Transfer, vol.31, pp.1177-1186.
  • Eringen A.C. (1966): Theory of micropolar fluids. - J. Math. Mech., vol.16, pp.1-18.
  • Eringen A.C. (1966): Theory of thermomicropolar fluids. - J. Math. Anal. Appl., vol.38, pp.488-496.
  • Hady F.M. (1996): On the solution of heat transfer to micropolar fluid from a non-isothermal stretching sheet with injection. - Int. J. Num. Meth. Heat Fluid Flow, vol.6, pp.99-104.
  • Hassanien I.A., Essawy A.H. and Moursy N.M. (2004): Natural convection flow of micropolar fluid from a permeable uniform heat flux surface in porous medium. - Appl. Math. Comp., vol.152, pp.323-335.
  • Hassanien I.A. and Gorla R.S.R. (1990): Heat transfer to a micropolar fluid from a non-isothermal stretching sheet with suction and blowing. - Acta Mech. vol.84, pp.191-199.
  • Jena S.K. and Mathur M.N. (1981): Similarity solutions for laminar free convection flow of a thermomicropolar fluid past a non-isothermal vertical flat plate. - Int. J. Engng. Sci., vol.19, pp.1431-1439.
  • Mansour M.A., El-Hakiem M.A. and El Kabeir S.M. (2000): Heat and mass transfer in magnetohydrodynamic flow of micropolar fluid on a circular cylinder with uniform heat and mass flux. - J. of Magnetism and Magnetic Materials, vol.220, pp.259-270.
  • Mansour M.A. and Gorla R.S.R. (1998): Joule-heating effects on unsteadynatural convection from a heatedvertical plate in a micropolar fluid. - Can. J. Phys., vol.76, pp.977-984.
  • Nakayama A. and Koyama H. (1989): Similarity solutions for buoyancy-induced flows over a non-isothermal curved surface in a thermally stratified porous medium. - Appl. Sci. Res., vol.46, pp.309-322.
  • Na T.Y. and Pop I. (1996): Boundary-layer flow of a micropolar fluid due to a stretching wall. - Arch. Appl. Mech. vol.67, pp.229-236.
  • Nath G. (1975): Similar solutions for the incompressible laminar boundary layer with pressure gradient in micropolar fluids. - Rheol. Acta, vol.14, pp850-857.
  • Peddieson J. and McNitt R.P. (1970): Boundary-layer theory for a micropolar fluid. - Recent Adv. Eng. Sci., vol.5, pp.405-426.
  • Ramachandran P.S. and Mathur M.N. (1980): Heat transfer in the stagnation point flow of a micropolar fluid. - Acta Mech., vol.36, pp.247-261.
  • Rees D.A.S. and Pop I. (1998): Free convection boundary layer flow of a micropolar fluid from a vertical flat plate. - IMA J. Appl. Math., vol.61, pp.179-197.
  • Wilson A.J. (1970): Boundary layers in micropolar liquids. - Proc. of the Cambridge Philos. Soc., vol.67, pp.469-476.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0030
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