Viscous Flow Due to Accelerated/Decelerated Stretching Surfaces

Part of the Mathematical Engineering book series (MATHENGIN)


Boundary layer flows due to different stretching surfaces have been considered in this chapter. The designation of the wall velocities as accelerated or decelerated has also been highlighted as it plays an important role in the understanding of shrinking sheet flows, in particular. Equivalence of the two-dimensional and the disk cases has been proved and it is shown that the disk case can easily be recovered from the two-dimensional case.


  1. 1.
    R.A. van Gorder, K. Vajravalu, F.T. Akyildiz, Existence and uniqueness results for a non-linear differential equation arising in viscous flow over a nonlinearly stretching sheet. Appl. Math. Lett. 24, 238–242 (2011)MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    J.E. Paullet, J.P. Previte, Comment on “Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet”. Appl. Math. Lett. 25, 1114–1117 (2012)MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    C.Y. Wang, The three-dimensional flow due to a stretching surface. Phys. Fluids 27, 1915–1917 (1984)MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    I.C. Liu, H.H. Wang, Y.F. Peng, Flow and heat transfer for three-dimensional flow over an exponentially stretching surface. Chem. Eng. Comm. 200, 253–268 (2013)CrossRefGoogle Scholar
  5. 5.
    C.Y. Wang, Fluid flow due to a stretching cylinder. Phys. Fluids 31, 466–468 (1988)CrossRefGoogle Scholar
  6. 6.
    J. Grubka, K.M. Bobba, Heat transfer characteristics of a continuous stretching surface with variable temperature, J. Heat Transf.-Trans. ASME, 107, 248–250 (1985)Google Scholar
  7. 7.
    S. Munawar, A. Mehmood, A. Ali, Time-dependent flow and heat transfer over a stretching cylinder. Chin. J. Phys. 50(5), 828–848 (2012)MathSciNetGoogle Scholar
  8. 8.
    S. Munawar, N. Saleem, A. Mehmood, Entropy production in the flow over a swirling stretchable cylinder. Thermophy. Aeromech. 23(3), 435–444 (2016)CrossRefGoogle Scholar
  9. 9.
    A.S. Butt, A. Ali, A. Mehmood, Numerical investigation of magnetic field effects on entropy generation in viscous flow over a stretching cylinder embedded in a porous medium. Energy 99, 237–249 (2016)CrossRefGoogle Scholar
  10. 10.
    R.F. Probstein, D. Elliott, The transverse curvature effect in compressible axially symmetric laminar boundary-layer flow. J. Aero. Sci. 23, 208–224 (1956)CrossRefMATHGoogle Scholar
  11. 11.
    T. Fang, J. Zhang, Y. Zhong, Boundary layer flow over a stretching sheet with variable thickness, Appl. Math. Comp. 218, 7241–7252 (2012)MATHGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Mathematics and StatisticsInternational Islamic University Islamabad (IIUI)IslamabadPakistan

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