Numerical solutions of boundary layer flow over a nonlinearly permeable shrinking sheet with slip effects

Anuar Jamaludin, Roslinda Mohd. Nazar

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

Abstract

This paper presented a study of a two-dimensional boundary layer flow in an incompressible viscous fluid, over a nonlinearly shrinking sheet, with suction and velocity slip effects. The governing equations were first reduced to the nonlinear ordinary differential equations, using the similarity transformations. The obtained equations were then solved numerically using the bvp4c function in MATLAB. It was demonstrated that dual (first and second) solutions existed in a certain range of the suction parameter s. Stability analysis was employed to test the stability of the dual solutions. The results indicated that the first solution was stable, while the second solution was unstable. In addition, the study established that the reduced skin friction coefficient decreased with an increase in the shrinking parameter c, velocity slip parameter N and nonlinearity parameter n.

Original languageEnglish
Title of host publication2018 UKM FST Postgraduate Colloquium
Subtitle of host publicationProceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium
EditorsNoor Hayati Ahmad Rasol, Kamarulzaman Ibrahim, Siti Aishah Hasbullah, Mohammad Hafizuddin Hj. Jumali, Nazlina Ibrahim, Marlia Mohd Hanafiah, Mohd Talib Latif
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418431
DOIs
Publication statusPublished - 27 Jun 2019
Event2018 UKM FST Postgraduate Colloquium - Selangor, Malaysia
Duration: 4 Apr 20186 Apr 2018

Publication series

NameAIP Conference Proceedings
Volume2111
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2018 UKM FST Postgraduate Colloquium
CountryMalaysia
CitySelangor
Period4/4/186/4/18

Fingerprint

boundary layer flow
slip
boundary layer
suction
two dimensional boundary layer
skin friction
viscous fluids
friction
stability analysis
nonlinearity
coefficient of friction
skin
differential equations
fluid
effect
parameter
testing

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

Cite this

Jamaludin, A., & Mohd. Nazar, R. (2019). Numerical solutions of boundary layer flow over a nonlinearly permeable shrinking sheet with slip effects. In N. H. A. Rasol, K. Ibrahim, S. A. Hasbullah, M. H. H. Jumali, N. Ibrahim, M. M. Hanafiah, & M. T. Latif (Eds.), 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium [020005] (AIP Conference Proceedings; Vol. 2111). American Institute of Physics Inc.. https://doi.org/10.1063/1.5111212

Numerical solutions of boundary layer flow over a nonlinearly permeable shrinking sheet with slip effects. / Jamaludin, Anuar; Mohd. Nazar, Roslinda.

2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. ed. / Noor Hayati Ahmad Rasol; Kamarulzaman Ibrahim; Siti Aishah Hasbullah; Mohammad Hafizuddin Hj. Jumali; Nazlina Ibrahim; Marlia Mohd Hanafiah; Mohd Talib Latif. American Institute of Physics Inc., 2019. 020005 (AIP Conference Proceedings; Vol. 2111).

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

Jamaludin, A & Mohd. Nazar, R 2019, Numerical solutions of boundary layer flow over a nonlinearly permeable shrinking sheet with slip effects. in NHA Rasol, K Ibrahim, SA Hasbullah, MHH Jumali, N Ibrahim, MM Hanafiah & MT Latif (eds), 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium., 020005, AIP Conference Proceedings, vol. 2111, American Institute of Physics Inc., 2018 UKM FST Postgraduate Colloquium, Selangor, Malaysia, 4/4/18. https://doi.org/10.1063/1.5111212
Jamaludin A, Mohd. Nazar R. Numerical solutions of boundary layer flow over a nonlinearly permeable shrinking sheet with slip effects. In Rasol NHA, Ibrahim K, Hasbullah SA, Jumali MHH, Ibrahim N, Hanafiah MM, Latif MT, editors, 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. American Institute of Physics Inc. 2019. 020005. (AIP Conference Proceedings). https://doi.org/10.1063/1.5111212
Jamaludin, Anuar ; Mohd. Nazar, Roslinda. / Numerical solutions of boundary layer flow over a nonlinearly permeable shrinking sheet with slip effects. 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. editor / Noor Hayati Ahmad Rasol ; Kamarulzaman Ibrahim ; Siti Aishah Hasbullah ; Mohammad Hafizuddin Hj. Jumali ; Nazlina Ibrahim ; Marlia Mohd Hanafiah ; Mohd Talib Latif. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).
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