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Research Papers: Natural and Mixed Convection

Dual Solutions for Opposing Mixed Convection in Porous Media

[+] Author and Article Information
Jian-Jun Shu

School of Mechanical
and Aerospace Engineering,
Nanyang Technological University,
50 Nanyang Avenue,
Singapore 639798, Singapore
e-mail: mjjshu@ntu.edu.sg

Qi-Wen Wang

School of Business,
Shanghai DianJi University,
1350 Ganlan Road,
Lingang New City,
Pudong New District,
Shanghai 201306, China

Ioan Pop

Department of Mathematics,
Babeş-Bolyai University,
Cluj-Napoca 400084, Romania

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 30, 2016; final manuscript received April 26, 2017; published online June 1, 2017. Assoc. Editor: Peter Vadasz.

J. Heat Transfer 139(10), 102501 (Jun 01, 2017) (4 pages) Paper No: HT-16-1327; doi: 10.1115/1.4036727 History: Received May 30, 2016; Revised April 26, 2017

The problem of steady mixed convection boundary layer flow on a cooled vertical permeable circular cylinder embedded in a fluid-saturated porous medium is studied. Here, we evaluate the flow and heat transfer characteristics numerically for various values of the governing parameters and demonstrate the existence of dual solutions beyond a critical point.

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References

Figures

Grahic Jump Location
Fig. 4

Reduced skin friction f″(0) with σ for various γ at λ=−1

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Fig. 3

Reduced skin friction f″(0) with γ for various σ at λ=−1

Grahic Jump Location
Fig. 2

Velocity profile f′ (η) for various σ at λ=−1 and γ=5

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Fig. 1

Physical model and coordinate system

Grahic Jump Location
Fig. 5

Reduced skin friction f″(0) with λ for various γ: (a) σ=−1 and (b) σ=1

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