In this study, the flow and heat transfer of Powell–Eyring fluid over a permeable stretching surface is examined. By using Lie group analysis, the symmetries of the equations are found. Four finite parameter and one infinite parameter Lie group of transformations are obtained. Similarity transformations for the problem are derived with help of these symmetries. The governing system of partial differential equations is transformed to a system of ordinary differential equations by using the similarity transformations. These equations are solved numerically using the Keller-box method. A comparison is performed with analytical results as well as previously published work, and an excellent agreement is observed between the results. The effects of governing parameters on the velocity and temperature profiles, the skin friction, and local Nusselt number are analyzed and discussed. It is observed that both the skin friction and local Nusselt number increase due to an increase in suction/injection parameter fw. The effects of the Prandtl number Pr, temperature power index m, and fluid parameter ε are found to increase the local Nusselt number whereas the effect of the fluid parameter δ is to decrease it. The obtained results elucidate that the skin friction reduces with increase in ε while opposite behavior is noticed for increasing values of δ.
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December 2013
Research-Article
Flow and Heat Transfer of Powell–Eyring Fluid Over a Stretching Surface: A Lie Group Analysis
Mudassar Jalil,
Mudassar Jalil
1
Department of Mathematics,
e-mail: mudassarjalil@yahoo.com
COMSATS Institute of Information Technology
,Park Road, Chak Shahzad
,Islamabad 44000
, Pakistan
e-mail: mudassarjalil@yahoo.com
1Corresponding author.
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Saleem Asghar
Saleem Asghar
Department of Mathematics,
COMSATS Institute of Information Technology
,Park Road, Chak Shahzad
,Islamabad 44000
, Pakistan
Adjunct Professor
Department of Mathematics,
Department of Mathematics,
King Abdulaziz University
,Jeddah 21589, Saudi Arabia
Search for other works by this author on:
Mudassar Jalil
Department of Mathematics,
e-mail: mudassarjalil@yahoo.com
COMSATS Institute of Information Technology
,Park Road, Chak Shahzad
,Islamabad 44000
, Pakistan
e-mail: mudassarjalil@yahoo.com
Saleem Asghar
Department of Mathematics,
COMSATS Institute of Information Technology
,Park Road, Chak Shahzad
,Islamabad 44000
, Pakistan
Adjunct Professor
Department of Mathematics,
Department of Mathematics,
King Abdulaziz University
,Jeddah 21589, Saudi Arabia
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 28, 2012; final manuscript received July 23, 2013; published online September 9, 2013. Assoc. Editor: Sharath S. Girimaji.
J. Fluids Eng. Dec 2013, 135(12): 121201 (6 pages)
Published Online: September 9, 2013
Article history
Received:
August 28, 2012
Revision Received:
July 23, 2013
Citation
Jalil, M., and Asghar, S. (September 9, 2013). "Flow and Heat Transfer of Powell–Eyring Fluid Over a Stretching Surface: A Lie Group Analysis." ASME. J. Fluids Eng. December 2013; 135(12): 121201. https://doi.org/10.1115/1.4025097
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