Journal of Modern Mechanical Engineering and Technology

Articles

Vol. 4 (2017)

A Note on Heat Transfer Unsteady Similar Boundary Layer Flow Over a Streatching Surface with Power Law Temperature

DOI:
https://doi.org/10.15377/2409-9848.2017.04.5
Submitted
April 11, 2017
Published
2017-04-11

Abstract

The aim of this paper is to investigate the effects of thermal radiation and viscous dissipation on unsteady two dimensional viscous and incompressible boundary layer flow and heat transfer from a stretching surface. The governing partial differential equations are transformed into a system of ordinary differential equations by using similarity transformation. The governing equations are solved through the use of Spectral relaxation method. The solution is found to be dependent on the governing parameters including the Prandtl number, unsteadiness parameter, thermal radiation parameter, Eckert number and power law temperature parameter. Flow profiles are presented graphically for various values of the problem parameters.

References

  1. Sakiadis BC. Boundary-Layer Behaviour on Conti- nuous Solid Surfaces: I. Boundary-Layer Equations for TwoDimensional and Axisymmetric Flow. AIChE Journal 1961; 7: 26. https://doi.org/10.1002/aic.690070108
  2. Elbashbeshy EMA and Bazid MAA. Heat transfer over an unsteady stretching surface. Heat and Mass transfer 2004; 41: 1. https://doi.org/10.1007/s00231-004-0520-x
  3. Chen CK and Char MI. Heat Transfer of a Continuous, Stretching Surface with Suction or Blowing. Journal of Mathematical Analysis and Applications 1988; 135: 568. https://doi.org/10.1016/0022-247X(88)90172-2
  4. Wubshet Ibrahim and BandariShanker. Unsteady Boundary Layer Flow and Heat Transfer Due to a Stretching Sheet by Quasilinearization. Technique, World Journal of Mechanics 2011; 1: 288. https://doi.org/10.4236/wjm.2011.16036
  5. Seripah Awang Kechil and Ishak Hashim. Series Solution for Unsteady Boundary-Layer Flows Due to Impulsively Stretching Plate. Chinese Physics Letters 2007; 24: 139. https://doi.org/10.1088/0256-307X/24/1/038
  6. Wenli Cai, Ning Su and Xiangdong Liu. Unsteady Convection Flow and Heat Transfer over a Vertical Stretching Surface. Plos one 2014; 9: 1. https://doi.org/10.1371/journal.pone.0107229
  7. Haroun N, Sibanda A, Mondal PS and Motsa SS. On unsteady MHD mixed convection in a nanofluid due to a stretching/shrinking surface with suction/injection using the spectral relaxation method. Boundary value problems 2015; (1): 24. https://doi.org/10.1186/s13661-015-0289-5
  8. Canuto C, Hussaini MY, Quarteroni A and Zang TA. Spectral Methods in Fluid Dynamics,Springer-Verlag, Berlin 1988. https://doi.org/10.1007/978-3-642-84108-8
  9. Motsa SS and Makukula ZG. On spectral relaxation method approach for steady von Kármán flow of a Reiner-Rivlin fluid with Joule heating, viscous dissipation and suction/injection. Central European Journal of Physics 2013; 11(3): 363-374. https://doi.org/10.2478/s11534-013-0182-8
  10. Shateyi S. A new numerical approach to MHD ow of a maxwelluid past a vertical stretching sheet in the presence of thermophoresis and chemical reaction, Boundary Value Problems 2013; 196. https://doi.org/10.1186/1687-2770-2013-196
  11. Shateyi S and Makinde OD. Hydromagnetic stagnation-point flow towards a radially stretching convectively heated disk. Mathematical Problems in Engineering 2013. https://doi.org/10.1155/2013/616947
  12. Awad FG, Motsa S and Khumalo M. Heat and mass transfer in unsteady rotating fluid flow with binary chemical reaction and activation energy. Plos one 2014; 9(9): e107622. https://doi.org/10.1371/journal.pone.0107622