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Slip effects on boundary layer flow and heat transfer along a stretching cylinder

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An axi-symmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer towards a stretching cylinder is presented. Velocity slip is considered instead of the no-slip condition at the boundary. Similarity transformations are used to convert the partial differential equations corresponding to the momentum and heat equations into non-linear ordinary differential equations. Numerical solutions of these equations are obtained by the shooting method. It is found that the velocity decreases with increasing the slip parameter. The skin friction as well as the heat transfer rate at the surface is larger for a cylinder compared to those for a flat plate.
Rocznik
Strony
447--459
Opis fizyczny
Bibliogr. 20 poz., tab., wykr.
Twórcy
  • Department of Mathematics The University of Burdwan Burdwan-713104, W.B., India
  • Department of Mechanical Engineering Cleveland State University Cleveland, OH 44115, USA
Bibliografia
  • Abbas Z., Wang Y., Hayat T. and Oberlack M. (2009): Slip effects and heat transfer analysis in a viscous fluid over anoscillatory stretching surface. - Int. J. of Numer. Meth. Fluids, vol.59, pp.443-458.
  • Ali M.E. (1994): Heat transfer characteristics of a continuous stretching surface. - Heat Mass Transfer, vol.29, pp.227-234.
  • Andersson H.I. (2002): Slip flow past a stretching surface. - Acta Mech., vol.158, pp.121-125.
  • Ariel P.D. (2008): Two dimensional stagnation point flow of an elastico-viscous fluid with partial slip. - Z. Angew. Math. Mech., vol.88, pp.320-324.
  • Ariel P.D., Hayat T. and Asghar S. (2006): The flow of an elastico-viscous fluid past a stretching sheet with partial slip. - Acta Mech., vol.187, pp.29-35.
  • Chen C.K. and Char M.I. (1988): Heat transfer of a continuous stretching surface with suction or blowing. - J. Math Anal. Appl., vol.135, pp.568-580.
  • Cortell R. (2005): Flow and heat transfer of a fluid through a porous medium over a stretching surface with internalheat generation/absorption and suction/blowing. - Fluid Dynamics Resc., vol.37, pp.231-245.
  • Cortell R. (2006): Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of aviscoelastic fluid oever a stretching sheet. - Physics Letters A, vol.357, pp.298-305.
  • Crane L.J. (1970): Flow past a stretching plate. - Z. Angew Math. Phys., vol.21, pp.645-647.
  • Datta B.K., Roy P. and Gupta A.S. (1985): Temperature field in the flow over a stretching sheet with uniform heat flux. - Int. Comm. Heat Mass Transfer, vol.12, pp.89-94.
  • Grubka L.G. and Bobba K.M. (1985): Heat transfer characteristics of a continuous stretching surface with variabletemperature. - ASME J. Heat Transfer, vol.107, pp.248-250.
  • Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction or blowing. - Can. J. Chem. Eng., vol.55, pp.744-746.
  • Hayat T., Abbas Z. and Sajid M. (2006): Series solution for the upper-convected Maxwell fluid over a porous stretchingplate. - Physics Letters A, vol.358, pp.396-403.
  • Hayat T. and Sajid M. (2007): Analytic solution for axi-symmetric flow and heat transfer of a second grade fluid past astretching sheet. - Int. J. of Heat and Mass Transfer, vol.50, pp.75-84.
  • Ishak A. and Nazar R. (2009): Laminar boundary layer flow along a stretching cylinder. - Euro. J. of Sci. Resc., vol.36, No.1, pp.22-29.
  • Lin H.T. and Shih Y.P. (1980): Laminar boundary layer heat transfer along static and moving cylinders. - J. Chin. Inst. Eng., vol.3, pp.73-79.
  • Lin H.T. and Shih Y.P. (1981): Buoyancy effects on the laminar boundary layer heat transfer along vertically movingcylinders. - J. Chin. Inst. Eng., vol.4, pp.47-51.
  • Wang C.Y. (2002): Flow due to a stretching boundary with partial slip - an exact solution of the Navier-Stokesequations. - Chem. Eng. Sci., vol.57, pp.3745-3747.
  • Xu H. and Liao S.J. (2005): Series solutions of unsteady magnetohydrodynamics flows of non-Newtonian fluids causedby an impulsively stretching plate. - J. of Non-Newtonian Fluid Mech., vol.159, pp.46-55.
  • Yoshimura A. and Prudhomme R.K. (1998): Wall slip corrections for Couette and parallel disc viscometers. - J. Rheol., vol.32, pp.53-67.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ff2c5bb7-f995-4226-87ea-b4592a1ad9e8
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