Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet

Mohd Ezad Hafidz Hafidzuddin, Roslinda Mohd. Nazar, Norihan Md Arifin, Ioan Pop

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this study, a numerical investigation on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is employed to reduce the governing system of nonlinear partial differential equations into the ordinary (similarity) differential equations. These equations are then solved numerically by using a shooting method. Both stretching and shrinking cases are considered. Effects of the unsteadiness parameter, stretching/shrinking parameter, mass suction parameter and ratio of the surface velocity gradients along the vertical y-and horizontal x-directions are presented and discussed in detail. The numerical results show that for the shrinking case, the skin friction coefficient and the velocity boundary layer thickness increase with increasing unsteadiness parameter, while the skin friction coefficient decreases and the velocity boundary layer thickness increases with increasing ratio of the surface velocity gradients. The results also show that dual solutions exist for both cases of stretching and shrinking sheet.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages422-428
Number of pages7
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

viscous flow
boundary layer thickness
skin friction
coefficient of friction
three dimensional boundary layer
gradients
boundary layer flow
suction
viscous fluids
partial differential equations
differential equations

Keywords

  • Boundary layer
  • Numerical solutions
  • Stretching/shrinking sheet
  • Three-Dimensional Flow
  • Unsteady flow

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Hafidzuddin, M. E. H., Mohd. Nazar, R., Arifin, N. M., & Pop, I. (2014). Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet. In AIP Conference Proceedings (Vol. 1602, pp. 422-428). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882520

Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet. / Hafidzuddin, Mohd Ezad Hafidz; Mohd. Nazar, Roslinda; Arifin, Norihan Md; Pop, Ioan.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 422-428.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hafidzuddin, MEH, Mohd. Nazar, R, Arifin, NM & Pop, I 2014, Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 422-428, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882520
Hafidzuddin MEH, Mohd. Nazar R, Arifin NM, Pop I. Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 422-428 https://doi.org/10.1063/1.4882520
Hafidzuddin, Mohd Ezad Hafidz ; Mohd. Nazar, Roslinda ; Arifin, Norihan Md ; Pop, Ioan. / Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 422-428
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