Magnetohydrodynamic stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet

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

Abstract

This paper considers a numerical investigation on the steady laminar two-dimensional MHD stagnation-point flow and heat transfer of an incompressible viscous fluid impinging normal to an exponentially stretching/shrinking flat sheet in the presence of a non-uniform magnetic field applied in a direction normal to the flat sheet. The sheet surface temperature is assumed to also vary exponentially with the distance from the stagnation-point. The governing system of partial differential equations is first transformed into ordinary differential equations, and solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of the stretching/shrinking parameter ε and the magnetic parameter on the flow field and heat transfer characteristics are discussed. It is found that the magnitude of the skin friction coefficient |f'(o)|, and the local Nusselt number -θ'(0) increase with both the magnetic parameter M and the stretching/shrinking parameter ε. For the shrinking case, it is found that there is a minimum value εc of the shrinking parameter ε for which solution exists, and its value is dependent on the value of M, and dual solutions exist for some range of values of the shrinking parameter ε.

Original languageEnglish
Title of host publication5th International Conference on Mathematics and Natural Sciences, ICMNS 2014
PublisherAmerican Institute of Physics Inc.
Volume1677
ISBN (Electronic)9780735413245
DOIs
Publication statusPublished - 30 Sep 2015
Event5th International Conference on Mathematics and Natural Sciences, ICMNS 2014 - Bandung, Indonesia
Duration: 2 Nov 20143 Nov 2014

Other

Other5th International Conference on Mathematics and Natural Sciences, ICMNS 2014
CountryIndonesia
CityBandung
Period2/11/143/11/14

Fingerprint

stagnation point
magnetohydrodynamics
heat transfer
nonuniform magnetic fields
skin friction
viscous fluids
Nusselt number
partial differential equations
coefficient of friction
surface temperature
boxes
flow distribution
differential equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Jafar, K., Mohd. Nazar, R., Mohd Ishak, A., & Mohamad Hamzah, F. (2015). Magnetohydrodynamic stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet. In 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014 (Vol. 1677). [030013] American Institute of Physics Inc.. https://doi.org/10.1063/1.4930635

Magnetohydrodynamic stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet. / Jafar, Khamisah; Mohd. Nazar, Roslinda; Mohd Ishak, Anuar; Mohamad Hamzah, Firdaus.

5th International Conference on Mathematics and Natural Sciences, ICMNS 2014. Vol. 1677 American Institute of Physics Inc., 2015. 030013.

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

Jafar, K, Mohd. Nazar, R, Mohd Ishak, A & Mohamad Hamzah, F 2015, Magnetohydrodynamic stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet. in 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014. vol. 1677, 030013, American Institute of Physics Inc., 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014, Bandung, Indonesia, 2/11/14. https://doi.org/10.1063/1.4930635
Jafar K, Mohd. Nazar R, Mohd Ishak A, Mohamad Hamzah F. Magnetohydrodynamic stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet. In 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014. Vol. 1677. American Institute of Physics Inc. 2015. 030013 https://doi.org/10.1063/1.4930635
Jafar, Khamisah ; Mohd. Nazar, Roslinda ; Mohd Ishak, Anuar ; Mohamad Hamzah, Firdaus. / Magnetohydrodynamic stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet. 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014. Vol. 1677 American Institute of Physics Inc., 2015.
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