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Research Papers: Natural and Mixed Convection

Influence of Uniform Blowing/Suction on the Free Convection of Non-Newtonian Fluids Over a Vertical Cone in Porous Media With Thermal Radiation and Soret/Dufour Effects: Uniform Wall Temperature/Uniform Wall Concentration

[+] Author and Article Information
Chuo-Jeng Huang

Assistant Professor
Department of Aircraft Engineering,
Air Force Institute of Technology
at Taiwan (R.O.C.),
No.1, Julun Rd.,
Gangshan Dist.,
Kaohsiung City 82063, Taiwan
e-mail: hcj631216@yahoo.com.tw

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 26, 2016; final manuscript received October 14, 2016; published online December 7, 2016. Assoc. Editor: Karthik Mukundakrishnan.

J. Heat Transfer 139(3), 032501 (Dec 07, 2016) (8 pages) Paper No: HT-16-1230; doi: 10.1115/1.4035041 History: Received April 26, 2016; Revised October 14, 2016

This work studies numerically the combined heat and mass transfer of uniform blowing/suction, non-Newtonian power-law fluid, and thermal radiation effects on free convection adjacent to a vertical cone within a porous medium in the presence of Soret/Dufour effects. The surface of the vertical cone has a uniform wall temperature and uniform wall concentration (UWT/UWC). The Rosseland diffusion approximation is employed to describe the radiative heat flux. A nonsimilarity analysis is performed, and the transformed governing equations are solved by Keller box method (KBM). The effects of these major parameters of the Dufour parameter, Soret parameter, Lewis number, buoyancy ratio, power-law index of the non-Newtonian fluids, blowing/suction parameter, and thermal radiation parameter on the heat and mass transfer characteristics have been carried out. In general, for the case of blowing, both the local Nusselt number and the local Sherwood number decrease. This trend reversed for suction of fluid. The physical aspects of the problem are discussed in detail.

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Figures

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Fig. 1

The flow model and the physical coordinate system

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Fig. 2

(a) The dimensionless temperature profile and (b) the dimensionless concentration profile for three values of the blowing/suction parameter ξ

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Fig. 3

(a) The dimensionless temperature profile and (b) the dimensionless concentration profile for three values of the non-Newtonian fluid power-law index n

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Fig. 4

(a) The dimensionless temperature profile and (b) the dimensionless concentration profile for three values of the thermal radiation parameter Rd

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