Steady laminar mixed convection flow and heat transfer to Newtonian and power-law fluids from a heated square cylinder has been analyzed numerically. The full momentum and energy equations along with the Boussinesq approximation to simulate the buoyancy effects have been solved. A semi-explicit finite volume method with nonuniform grid has been used for the range of conditions as: Reynolds number 1–30, power-law index: 0.8–1.5, Prandtl number 0.7–100 for Richardson number 0–0.5 in an unbounded configuration. The drag coefficient and the Nusselt number have been reported for a range of values of the Reynolds number, Prandtl number, and Richardson number for Newtonian, shear-thickening and shear-thinning fluids. In addition, detailed streamline and isotherm contours are also presented to show the complex flow field, especially in the rear of the cylinder. The effects of Prandtl number and of power-law index on the Nusselt number are found to be more pronounced than that of buoyancy parameter for a fixed Reynolds number in the steady cross-flow regime .
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e-mail: chhabra@iitk.ac.in
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April 2007
Technical Papers
Mixed Convection From a Heated Square Cylinder to Newtonian and Power-Law Fluids
A. K. Dhiman,
A. K. Dhiman
Department of Chemical Engineering,
Indian Institute of Technology
, Kanpur 208016, India
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N. Anjaiah,
N. Anjaiah
Department of Chemical Engineering,
Indian Institute of Technology
, Kanpur 208016, India
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R. P. Chhabra,
R. P. Chhabra
Department of Chemical Engineering,
e-mail: chhabra@iitk.ac.in
Indian Institute of Technology
, Kanpur 208016, India
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V. Eswaran
V. Eswaran
Department of Mechanical Engineering,
Indian Institute of Technology
, Kanpur 208016, India
Search for other works by this author on:
A. K. Dhiman
Department of Chemical Engineering,
Indian Institute of Technology
, Kanpur 208016, India
N. Anjaiah
Department of Chemical Engineering,
Indian Institute of Technology
, Kanpur 208016, India
R. P. Chhabra
Department of Chemical Engineering,
Indian Institute of Technology
, Kanpur 208016, Indiae-mail: chhabra@iitk.ac.in
V. Eswaran
Department of Mechanical Engineering,
Indian Institute of Technology
, Kanpur 208016, IndiaJ. Fluids Eng. Apr 2007, 129(4): 506-513 (8 pages)
Published Online: September 28, 2006
Article history
Received:
May 10, 2006
Revised:
September 28, 2006
Citation
Dhiman, A. K., Anjaiah, N., Chhabra, R. P., and Eswaran, V. (September 28, 2006). "Mixed Convection From a Heated Square Cylinder to Newtonian and Power-Law Fluids." ASME. J. Fluids Eng. April 2007; 129(4): 506–513. https://doi.org/10.1115/1.2436586
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