Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids

Fadzilah Md Ali, Roslinda Mohd. Nazar, Norihan Md Arifin, Ioan Pop

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

2 Citations (Scopus)

Abstract

The steady stagnation-point flow of a viscous and incompressible fluid over a continuously stretching or shrinking sheet in its own plane in a water-based copper (Cu) nanofluid is studied theoretically. The formulation of the present problem in a nanofluid follows that of Wang's stretching/shrinking sheet problem in a viscous fluid. The nonlinear partial differential equations are transformed into ordinary differential equations via the similarity transformation. The transformed boundary layer equations are solved numerically using the shooting method. The numerical solutions are obtained and discussed for the skin friction coefficient and the velocity profiles for various values of the governing parameters, namely the nanoparticle volume fraction and stretching/shrinking parameters. It is found that dual solutions exist for the shrinking sheet case.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages330-334
Number of pages5
Volume1557
DOIs
Publication statusPublished - 2013
EventInternational Conference on Mathematical Sciences and Statistics 2013, ICMSS 2013 - Kuala Lumpur
Duration: 5 Feb 20137 Feb 2013

Other

OtherInternational Conference on Mathematical Sciences and Statistics 2013, ICMSS 2013
CityKuala Lumpur
Period5/2/137/2/13

Fingerprint

viscous fluids
boundary layer equations
skin friction
stagnation point
incompressible fluids
partial differential equations
coefficient of friction
differential equations
velocity distribution
formulations
copper
nanoparticles
water

Keywords

  • Dual Solutions
  • Nanofluids
  • Stagnation-Point Flow
  • Stretching/Shrinking Sheet

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ali, F. M., Mohd. Nazar, R., Arifin, N. M., & Pop, I. (2013). Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids. In AIP Conference Proceedings (Vol. 1557, pp. 330-334) https://doi.org/10.1063/1.4823930

Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids. / Ali, Fadzilah Md; Mohd. Nazar, Roslinda; Arifin, Norihan Md; Pop, Ioan.

AIP Conference Proceedings. Vol. 1557 2013. p. 330-334.

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

Ali, FM, Mohd. Nazar, R, Arifin, NM & Pop, I 2013, Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids. in AIP Conference Proceedings. vol. 1557, pp. 330-334, International Conference on Mathematical Sciences and Statistics 2013, ICMSS 2013, Kuala Lumpur, 5/2/13. https://doi.org/10.1063/1.4823930
Ali FM, Mohd. Nazar R, Arifin NM, Pop I. Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids. In AIP Conference Proceedings. Vol. 1557. 2013. p. 330-334 https://doi.org/10.1063/1.4823930
Ali, Fadzilah Md ; Mohd. Nazar, Roslinda ; Arifin, Norihan Md ; Pop, Ioan. / Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids. AIP Conference Proceedings. Vol. 1557 2013. pp. 330-334
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