Abstract
The problem of transition of boundary layer flow from the initial unsteady flow to the final steady flow past a permeable stretching sheet is considered in this paper. Two cases are considered: (1) Case-I deals with the transition of the unsteady flow due to a sudden application of constant suction/injection at the surface of the stretching sheet, from the initially prevailing steady flow; (2) Case-II deals with unsteady flow transition due to a sudden removal of constant suction/injection at the surface of the stretching sheet, from the initially prevailing steady flow. Numerical results are obtained using the implicit finite difference method of Crank-Nicholson type. The velocity and local skin friction for different values of injection/suction parameter are graphically presented and discussed. It is found that for the same magnitude of applied mass flux in Case-I and mass flux removal in Case-II, the time to reach steady-state flow is different.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Crane L.: Flow past a stretching plate. ZAMP 21, 645–647 (1970)
Gupta P.S., Gupta A.S.: Heat and mass transfer on a stretching sheet with suction or blowing. Can. J. Chem. Eng. 55, 744–746 (1977)
Magyari E., Keller B.: Exact solutions for self-similar boundary-layer flows induced by permeable stretching walls. Eur. J. Mech. B Fluids 19, 109–122 (2000)
Andersson H.I., Kumaran V.: On sheet-driven motion of power-law fluids. Int. J. Non Linear Mech. 41, 1228–1234 (2006)
Chen C.-H.: Effect of viscous dissipation on heat transfer in a non-Newtonian liquid film over an unsteady stretching sheet. J. Non Newton. Fluid Mech. 135, 128–135 (2006)
Dandapat B.S., Santra B., Andersson H.I.: Thermocapillarity in a liquid film on an unsteady stretching surface. Int. J. Heat Mass Transf. 46, 3009–3015 (2003)
Abel M.S., Mahesha N., Tawade J.: Heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation in presence of external magnetic field. Appl. Math. Model. 33, 3430–3441 (2009)
Ishak A., Nazar R., Pop I.: Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature. Non Linear Anal. Real World Appl. Ser. B 10, 2909–2913 (2009)
Andersson H.I., Aarseth J.B., Dandapat B.S.: Heat transfer in a liquid film on an unsteady stretching surface. Int. J. Heat Mass Transf. 43, 69–70 (2000)
Kumari M., Nath G.: Analytical solution of unsteady three-dimensional MHD boundary layer flow and heat transfer due to impulsively stretched plane surface. Comm. Non Linear Sci. Num. Simul. 14, 3339–3350 (2009)
Wang C.Y., Du Q., Miklavcic M., Chang C.C.: Impulsive stretching of surface in a viscous fluid. SIAM J. Appl. Math. 57, 1–14 (1977)
Liao S.: Series solutions of unsteady boundary layers flows over a stretching flat plate. Stud. Appl. Math. 117, 239–263 (2006)
Ali M.E., Magyari E.: Unsteady fluid and heat flow induced by a submerged stretching surface while its steady motion is slowed down gradually. Int. J. Heat Mass transf. 5, 188–195 (2007)
Kumaran V., Vanav Kumar A., Pop I.: Transition of MHD boundary layer flow past a stretching sheet. Comm. Non Linear Sci. Num. Simul. 15, 300–311 (2010)
Muthucumaraswamy R., Ganesan P.: Flow past an impulsively started vertical plate with constant heat flux and mass transfer. Comp. Meth. Appl. Mech. Eng. 187, 79–90 (2000)
Muthucumaraswamy R., Ganesan P., Soundalgekar V.M.: Heat and mass transfer effects on flow past an impulsively started vertical plate. Acta Mech. 146, 1–8 (2001)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kumaran, V., Vanav Kumar, A. & Pop, I. Transition of boundary layer flow past a stretching sheet due to a step change in applied constant mass flux. Acta Mech 216, 139–145 (2011). https://doi.org/10.1007/s00707-010-0340-7
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-010-0340-7