Laminar free convection heat transfer from isothermal convex bodies of arbitrary shape: a new dynamic model
 M. Eslami,
 K. Jafarpur
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Calculation of free convection from bodies of arbitrary shape has been investigated previously. The Body Gravity Function (BGF) which accounts for the geometry of each body shape was considered to be a constant value. In the present study, it is shown that BGF is not a constant value in a wide range of Rayleigh number. Instead, its value changes as Rayleigh number increases. Therefore, by analytical modeling of Dynamic BGF and derivation of a new parameter called Body Fluid Function, a novel method is proposed to calculate laminar free convection heat transfer from isothermal convex bodies of arbitrary shape. Results for 24 different body shapes are compared with the available experimental and numerical data. Excellent agreement shows that the present simple method accurately predicts laminar free convection heat transfer from isothermal convex bodies of arbitrary shape in the whole range of laminar flow and for fluids of any Prandtl number.
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 Title
 Laminar free convection heat transfer from isothermal convex bodies of arbitrary shape: a new dynamic model
 Journal

Heat and Mass Transfer
Volume 48, Issue 2 , pp 301315
 Cover Date
 20120201
 DOI
 10.1007/s0023101108856
 Print ISSN
 09477411
 Online ISSN
 14321181
 Publisher
 SpringerVerlag
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 Authors

 M. Eslami ^{(1)}
 K. Jafarpur ^{(1)}
 Author Affiliations

 1. School of Mechanical Engineering, Shiraz University, Shiraz, Iran