The present paper analyzes the problem of two-dimensional mixed convection boundary layer flow near the lower stagnation point of a cylinder embedded in a porous medium. It is assumed that the Darcy's law holds and that the solid and fluid phases of the medium are not in thermal equilibrium. Using an appropriate similarity transformation, the governing system of partial differential equations are transformed into a system of ordinary differential equations, before being solved numerically by a finite-difference method. We investigate the dependence of the Nusselt number on the solid–fluid parameters, thermal conductivity ratio and the mixed convection parameter. The results indicate that dual solutions exist for buoyancy opposing flow, while for the assisting flow, the solution is unique.
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Mixed Convection Boundary Layer Flow Near the Lower Stagnation Point of a Cylinder Embedded in a Porous Medium Using a Thermal Nonequilibrium Model
Haliza Rosali,
Haliza Rosali
Department of Mathematics,
Faculty of Science,
Universiti Putra Malaysia,
Serdang, Selangor 43400, Malaysia
e-mail: liza_r@upm.edu.my
Faculty of Science,
Universiti Putra Malaysia,
Serdang, Selangor 43400, Malaysia
e-mail: liza_r@upm.edu.my
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Anuar Ishak,
Anuar Ishak
School of Mathematical Sciences,
Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
Bangi, Selangor 43600, Malaysia
e-mail: anuar_mi@ukm.edu.my
Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
Bangi, Selangor 43600, Malaysia
e-mail: anuar_mi@ukm.edu.my
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Ioan Pop
Ioan Pop
Department of Mathematics,
Babeş-Bolyai University,
CP 253, Cluj-Napoca 400082, Romania
e-mail: popm.ioan@yahoo.co.uk
Babeş-Bolyai University,
CP 253, Cluj-Napoca 400082, Romania
e-mail: popm.ioan@yahoo.co.uk
Search for other works by this author on:
Haliza Rosali
Department of Mathematics,
Faculty of Science,
Universiti Putra Malaysia,
Serdang, Selangor 43400, Malaysia
e-mail: liza_r@upm.edu.my
Faculty of Science,
Universiti Putra Malaysia,
Serdang, Selangor 43400, Malaysia
e-mail: liza_r@upm.edu.my
Anuar Ishak
School of Mathematical Sciences,
Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
Bangi, Selangor 43600, Malaysia
e-mail: anuar_mi@ukm.edu.my
Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
Bangi, Selangor 43600, Malaysia
e-mail: anuar_mi@ukm.edu.my
Ioan Pop
Department of Mathematics,
Babeş-Bolyai University,
CP 253, Cluj-Napoca 400082, Romania
e-mail: popm.ioan@yahoo.co.uk
Babeş-Bolyai University,
CP 253, Cluj-Napoca 400082, Romania
e-mail: popm.ioan@yahoo.co.uk
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 21, 2015; final manuscript received March 9, 2016; published online April 26, 2016. Assoc. Editor: Andrey Kuznetsov.
J. Heat Transfer. Aug 2016, 138(8): 084501 (7 pages)
Published Online: April 26, 2016
Article history
Received:
January 21, 2015
Revised:
March 9, 2016
Citation
Rosali, H., Ishak, A., and Pop, I. (April 26, 2016). "Mixed Convection Boundary Layer Flow Near the Lower Stagnation Point of a Cylinder Embedded in a Porous Medium Using a Thermal Nonequilibrium Model." ASME. J. Heat Transfer. August 2016; 138(8): 084501. https://doi.org/10.1115/1.4033164
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