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Viscous Flow Due to Accelerated/Decelerated Stretching Surfaces

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Viscous Flows

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Abstract

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.

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Notes

  1. 1.

    The “solution” here means the solution obeying the boundary-layer character.

References

  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)

    Article  MathSciNet  MATH  Google Scholar 

  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)

    Article  MathSciNet  MATH  Google Scholar 

  3. C.Y. Wang, The three-dimensional flow due to a stretching surface. Phys. Fluids 27, 1915–1917 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  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)

    Article  Google Scholar 

  5. C.Y. Wang, Fluid flow due to a stretching cylinder. Phys. Fluids 31, 466–468 (1988)

    Article  Google Scholar 

  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. S. Munawar, A. Mehmood, A. Ali, Time-dependent flow and heat transfer over a stretching cylinder. Chin. J. Phys. 50(5), 828–848 (2012)

    MathSciNet  Google Scholar 

  8. S. Munawar, N. Saleem, A. Mehmood, Entropy production in the flow over a swirling stretchable cylinder. Thermophy. Aeromech. 23(3), 435–444 (2016)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  11. T. Fang, J. Zhang, Y. Zhong, Boundary layer flow over a stretching sheet with variable thickness, Appl. Math. Comp. 218, 7241–7252 (2012)

    MATH  Google Scholar 

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Correspondence to Ahmer Mehmood .

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Mehmood, A. (2017). Viscous Flow Due to Accelerated/Decelerated Stretching Surfaces. In: Viscous Flows. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-55432-7_6

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  • DOI: https://doi.org/10.1007/978-3-319-55432-7_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-55431-0

  • Online ISBN: 978-3-319-55432-7

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