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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The “solution” here means the solution obeying the boundary-layer character.
References
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)
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)
C.Y. Wang, The three-dimensional flow due to a stretching surface. Phys. Fluids 27, 1915–1917 (1984)
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)
C.Y. Wang, Fluid flow due to a stretching cylinder. Phys. Fluids 31, 466–468 (1988)
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)
S. Munawar, A. Mehmood, A. Ali, Time-dependent flow and heat transfer over a stretching cylinder. Chin. J. Phys. 50(5), 828–848 (2012)
S. Munawar, N. Saleem, A. Mehmood, Entropy production in the flow over a swirling stretchable cylinder. Thermophy. Aeromech. 23(3), 435–444 (2016)
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)
R.F. Probstein, D. Elliott, The transverse curvature effect in compressible axially symmetric laminar boundary-layer flow. J. Aero. Sci. 23, 208–224 (1956)
T. Fang, J. Zhang, Y. Zhong, Boundary layer flow over a stretching sheet with variable thickness, Appl. Math. Comp. 218, 7241–7252 (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-55432-7_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-55431-0
Online ISBN: 978-3-319-55432-7
eBook Packages: EngineeringEngineering (R0)