Research Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Steady MHD Boundary Layer Flow Past a Shrinking Sheet in the Presence of Chemical Reaction and Suction with Prescribed Heat and Mass Fluxes


Affiliations
1 Department of Applied Mathematics, Bharathiar University, Coimbatore - 46, Tamil Nadu, India
     

   Subscribe/Renew Journal


A steady laminar hydromagnetic flow of a viscous, incompressible electrically conducting fluid with heat and mass transfer over a shrinking sheet with prescribed heat and mass fluxes in the presence of chemical reaction is investigated. The sheet is subjected to suction and the flow is caused due to linear shrinking of the sheet. The governing nonlinear partial differential equations reduce to nonlinear ordinary differential equations by using similarity transformation. Exact solution of the momentum equation is found. The analytical solution for the boundary layer energy and concentration equation is found using Confluent hypergeometric function. Analytical expression for skin friction coefficient, wall temperature and wall concentration are also obtained. In order to get the physical insight of the problem the numerical values of the solution are obtained by fixing the values for the physical parameters involved in the problem namely Suction parameter, Magnetic parameter, Prandtl number, Heat flux parameter, Schmidt number, Chemical reaction parameter and Mass flux parameter. The results agree with the previous investigation under some special cases.

Keywords

Boundary Layer Flow, Magnetohydrodynamics, Shrinking Sheet, Heat and Mass Transfer, Confluent Hypergeometric Function.
Subscription Login to verify subscription
User
Notifications
Font Size


  • Sakiadis, B.C. (1961). Boundary layer behaviour on continuous solid surface. AIche J, 7: 221-225.

  • Crane, L. J. (1970). Flow past a stretching plate. Z Angew Math Physics, 21(4): 645-647.

  • Chakrabarti, A., & Gupta, A.S. (1979). Hydromagnetic flow and heat transfer over a stretching sheet. Quart Appl Math, 37: 73-78.

  • Chen, C.K., & Char, M.I. (1988). Heat transfer of a continuously stretching surface with suction and blowing. J Math Anal Appl, 135: 568-580.

  • Ali, M.E. (1995). Thermal boundary layer on a power-law stretched surface with suction or injection. Int J Heat Fluid Flow, 16: 280-290.

  • Elbashbeshy, E.M.A. (1998). Heat transfer over a stretching surface with variable surface heat flux. J Phys D: Appl Phys, 31:1951-1954.

  • Anjali Devi, S.P., & Ganga, B. (2009). Viscous dissipation effects on nonlinear MHD flow in a porous medium over a stretching surface. Int J Appl Math Mech, 5(7): 45-59.

  • Miklavcic, M., & Wang, C.Y. (2006). Viscous flow due to a shrinking sheet. Quart Appl Math, 64(2), 283-290.

  • Hayat, T., Abbas, Z., & Javed, T. (2009). Three dimensional rotating flow induced by a shrinking sheet for suction. Choas Solitions & Fractals, 39: 1615-1626.

  • Fang, T., & Zhang, J. (2010). Thermal boundary layers over a shrinking sheet: an analytical solution. Acta Mech, 209: 325-343.

  • Sajid, M., Javed, T., & Hayat, T. (2008). MHD rotating flow of a viscous fluid over a shrinking surface. Nonlinear dyn, 51: 259- 265.

  • Muhaimin, Kandasamy, R., & Khamis, A B. (2008). Effects of heat and mass transfer of nonlinear MHD boundary layer flow over a shrinking sheet in the presence of suction. Applied mathematics and Mechanics, 29(10), 1309-1317.

  • Fang, T., & Zhang, J. (2009). Closed-form exact solutions of MHD viscous flow over a shrinking sheet. Commun Nonlinear Sci Numer Simulat, 14: 2853-2857.

  • Bhattacharyya, (2011). Effects of heat source/sink on MHD flow and heat transfer over a shrinking sheet with mass suction. Chemical Engineering Research Bulletin, 15: 12-17.


Abstract Views: 740

PDF Views: 0




  • Steady MHD Boundary Layer Flow Past a Shrinking Sheet in the Presence of Chemical Reaction and Suction with Prescribed Heat and Mass Fluxes

Abstract Views: 740  |  PDF Views: 0

Authors

J. Wilfred Samuel Raj
Department of Applied Mathematics, Bharathiar University, Coimbatore - 46, Tamil Nadu, India
S.P. Anjali Devi
Department of Applied Mathematics, Bharathiar University, Coimbatore - 46, Tamil Nadu, India

Abstract


A steady laminar hydromagnetic flow of a viscous, incompressible electrically conducting fluid with heat and mass transfer over a shrinking sheet with prescribed heat and mass fluxes in the presence of chemical reaction is investigated. The sheet is subjected to suction and the flow is caused due to linear shrinking of the sheet. The governing nonlinear partial differential equations reduce to nonlinear ordinary differential equations by using similarity transformation. Exact solution of the momentum equation is found. The analytical solution for the boundary layer energy and concentration equation is found using Confluent hypergeometric function. Analytical expression for skin friction coefficient, wall temperature and wall concentration are also obtained. In order to get the physical insight of the problem the numerical values of the solution are obtained by fixing the values for the physical parameters involved in the problem namely Suction parameter, Magnetic parameter, Prandtl number, Heat flux parameter, Schmidt number, Chemical reaction parameter and Mass flux parameter. The results agree with the previous investigation under some special cases.

Keywords


Boundary Layer Flow, Magnetohydrodynamics, Shrinking Sheet, Heat and Mass Transfer, Confluent Hypergeometric Function.

References