Muhaimin R. Kandasamy, Azme B. Khamis. Effects of Heat and Mass Transfer on Non-Linear MHD Boundary Layer Flow Over a Shrinking Sheet in the Presence of Suction[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1191-1198.
Citation: Muhaimin R. Kandasamy, Azme B. Khamis. Effects of Heat and Mass Transfer on Non-Linear MHD Boundary Layer Flow Over a Shrinking Sheet in the Presence of Suction[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1191-1198.

Effects of Heat and Mass Transfer on Non-Linear MHD Boundary Layer Flow Over a Shrinking Sheet in the Presence of Suction

  • Received Date: 2008-01-28
  • Rev Recd Date: 2008-09-10
  • Publish Date: 2008-10-15
  • The magnetohydrodynamic viscous flow due to a shrinking sheet in the presence of suction is concerned with.The cases of two dimensional and axisymmetric shrinking were discussed.The governing boundary layer equations were written into a dimensionless form by similarity transformations.The transformed coupled nonlinear ordinary differential equations were solved numerically by using the advanced numeric technique.Favorable comparison with previously published work was performed.Numerical results for the dimensionless velocity,temperature and concentration profiles as well as for the skin friction,heat and mass transfer and deposition rate were obtained and displayed graphically for pertinent parameters to show interesting aspects of the solution.
  • loading
  • [1]
    Bhattacharyya S N,Gupta A S. On the stability of viscous flow over a stretching sheet[J].Quart Appl Math,1985,43(3):359-367.
    Brady J F,Acrivos A.Steady flow in a channel or tube with accelerating surface velocity. An exact solution to the Navier-Stokes equations with reverse flow[J].J Fluid Mech,1981,112:127-150. doi: 10.1017/S0022112081000323
    Crane L J. Flow past a stretching plate[J].ZAMP,1970,21(4):645-647. doi: 10.1007/BF01587695
    Gupta P S,Gupta A S.Heat and mass transfer on a stretching sheet with suction and blowing[J].Can J Chem Eng,1977,55(1):744-746. doi: 10.1002/cjce.5450550619
    Jensen K F, Einset E O,Fotiadis D I.Flow phenomena in chemical vapor deposition of thin films[J].Ann Rev Fluid Mech,1991,23(1):197-232. doi: 10.1146/annurev.fl.23.010191.001213
    McLeod J B,Rajagopal K R.On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary[J].Arch Rat Mech Anal,1987,98(4):385-393. doi: 10.1007/BF00276915
    Troy W, Overman II E A,Ermentrout G B,et al.Uniqueness of flow of a second-order fluid past a stretching sheet[J].Quart Appl Math,1987,44(4):753-755.
    Usha R,Sridharan R.The axisymmetric motion of a liquid film on an unsteady stretching surface[J].J Fluids Eng,1995,117(1):81-85. doi: 10.1115/1.2816830
    Wang C Y.The three-dimensional flow due to a stretching flat surface[J]. Phys Fluids,1984,27(8):1915-1917. doi: 10.1063/1.864868
    Wang C Y.Fluid flow due to a stretching cylinder[J].Phys Fluids,1988,31(3):466-468. doi: 10.1063/1.866827
    Wang C Y.Liquid film on an unsteady stretching sheet[J].Quart Appl Math,1990,48(4):601-610.
    Hakiem M A EL,Mohammadeian A A,Kaheir S M M EL,et al.Joule heating effects on MHD free convection flow of a micropolar fluid[J].International Comms Heat Mass Transfer,1999,26(2):219-227. doi: 10.1016/S0735-1933(99)00008-1
    Kuo Bor-Lih. Heat transfer analysis for the Falkner-Skan wedge flow by the differential transformation method[J].Internat J Heat Mass Transfer,2005,48(23/24): 5036-5046. doi: 10.1016/j.ijheatmasstransfer.2003.10.046
    Cheng W T, Lin H T.Non-similarity solution and correlation of transient heat transfer in laminar boundary layer flow over a wedge[J].Internat J Engg Sci,2002,40(5):531-548. doi: 10.1016/S0020-7225(01)00081-7
    Apelblat A. Mass transfer with a chemical reaction of the first order. Effects of axial diffusion[J].The Chemical Engineering Journal,1982,23(2):193-203. doi: 10.1016/0300-9467(82)80011-7
    Cebeci T,Bradshaw P.Physical and Computational Aspects of Convective Heat Transfer[M].New York:Springer-Verlag, 1984,79-80.
    Schlichting H,Gersten K.Boundary Layer Theory[M].New York: McGraw Hill Inc,1979,164.
    Yih K A.Uniform suction/blowing effect on forced convection about a wedge: Uniform heat flux[J].Acta Mech,1998,128(3/4):173-181. doi: 10.1007/BF01251888
    Watanabe T.Thermal boundary layers over a wedge with uniform suction or injection in forced flow[J].Acta Mech,1990,83(3/4):119-126. doi: 10.1007/BF01172973
    Kafoussias N G,Nanousis N D. Magnetohydrodynamic laminar boundary-layer flow over a wedge with suction or injection[J].Can J Phys,1997,75(10): 733-745. doi: 10.1139/p97-024
    Sajid M, Javed T,Hayat T. MHD rotating flow of a viscous fluid over a shrinking surface[J].Nonlinear Dynamics,2008,51(1/2): 259-265.
    Hayat T, Abbas Z, Sajid M.On the analytic solution of magnetohydrodynamic flow of a second grade fluid over a shrinking sheet[J].Journal of Applied Mechanics,2007,74(6):1165-1170. doi: 10.1115/1.2723820
    Sajid M,Hayat T.The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet[J].Chaos, Solutions and Fractals,on line 23 July,2007.
    Miklavcic M,Wang C Y.Viscous flow due to a shrinking sheet[J].Quart Appl Math,2006,64(2):283-290.
    Gill S. A process for the step-by-step integration of differential equations in an automatic digital computing machine[J].Proceedings of the Cambridge Philosophical Society,1951,47(1):96-108. doi: 10.1017/S0305004100026414
    Minkowycz W J, Sparrow E M, Schneider G E,et al. Handbook of Numerical Heat Transfer[M].New York:John Wiley and Sons, 1988,192-195.
    Kafoussias N G,Karabis A G.Magnetohydrodynamic laminar boundary layer flow over a wedge[A].In:Sotiropoulos D A,Beskos D E,Eds.Proceedings of the 2nd National Congress on Computational Mechanics[C].Chania, Greece, June 26-28, 1996, Vol Ⅱ.Greek Association of Computational Mechanics, Member of IACM, 1996, 801- 809.
    Kafoussias N G,Williams E W. An improved approximation technique to obtain numerical solution of a class of two-point boundary value similarity problems in fluid mechanics[J].Internt J Num Methods Fluids,1993,17(2): 145-162. doi: 10.1002/fld.1650170204
    Wilhelm Dirk,Hartel Crlos,Kleiser Leonhard.Computational analysis of the two-dimensional-three-dimensional transition in forward-facing step flow[J].J Fluid Mech,2003,489:1-27. doi: 10.1017/S0022112003004440
  • 加载中


    通讯作者: 陈斌,
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2180) PDF downloads(527) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint