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Research Papers

Heat Transfer in the Flow of a Cold, Axisymmetric Jet Over a Hot Sphere

[+] Author and Article Information
Jian-Jun Shu

e-mail: mjjshu@ntu.edu.sg

Graham Wilks

School of Mechanical and Aerospace Engineering,
Nanyang Technological University,
50 Nanyang Avenue,
Singapore 639798

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received February 6, 2012; final manuscript received August 30, 2012; published online February 14, 2013. Assoc. Editor: Giulio Lorenzini.

J. Heat Transfer 135(3), 032201 (Feb 14, 2013) (7 pages) Paper No: HT-12-1043; doi: 10.1115/1.4007980 History: Received February 06, 2012; Revised August 30, 2012

The heat-transfer characteristics of thin film flow over a hot sphere resulting from a cold vertical jet of liquid falling onto the surface have been investigated. The underlying physical features have been illustrated by numerical solutions of high accuracy based on the modified Keller box method. The solutions for film thickness distribution are good agreement with those obtained approximately by using the Pohlhausen integral momentum technique and observed experimentally by using water as working fluid, thus providing a basic confirmation of the validity of the results presented.

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Figures

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Fig. 1

The vertical jet and resultant film for the sphere

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Fig. 2

Film thickness for the numerical solution and Gribben's approximation at Fr = 1 and γ = 0.5

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Fig. 3

Film thickness for various Froude numbers at γ = 0.5

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Fig. 4

Film thickness for various values of the parameter γ at Fr = 1

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Fig. 5

Free surface velocity for various Froude numbers at γ = 0.5

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Fig. 6

Free surface velocity for various values of the parameter γ at Fr = 1

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Fig. 7

Free surface temperature for various Prandtl numbers at Fr = 1 and γ = 0.5

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Fig. 8

Free surface temperature for various Froude numbers at γ = 0.5 and Pr = 2

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Fig. 9

Free surface temperature for various values of the parameter γ at Fr = 1 and Pr = 2

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Fig. 10

Film thickness, free surface temperature and free surface velocity for the flat plate case [3]

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Fig. 11

Nusselt number for the sphere with Fr = 1, γ = 0.5, and Pr = 2

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