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Research Papers: Forced Convection

# The Flow of Non-Newtonian Fluids on a Flat Plate With a Uniform Heat Flux

[+] Author and Article Information
M. M. Molla

Department of Mechanical Engineering, University of Glasgow, Glasgow G12 8QQ, UK

L. S. Yao

Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287

J. Heat Transfer 131(1), 011702 (Oct 17, 2008) (6 pages) doi:10.1115/1.2977610 History: Received October 24, 2007; Revised June 17, 2008; Published October 17, 2008

## Abstract

Forced convective heat transfer of non-Newtonian fluids on a flat plate with the heating condition of uniform surface heat flux has been investigated using a modified power-law viscosity model. This model does not restrain physically unrealistic limits; consequently, no irremovable singularities are introduced into a boundary-layer formulation for power-law non-Newtonian fluids. Therefore, the boundary-layer equations can be solved by marching from leading edge to downstream as any Newtonian fluids. For shear-thinning and shear-thickening fluids, non-Newtonian effects are illustrated via velocity and temperature distributions, shear stresses, and local temperature distribution. Most significant effects occur near the leading edge, gradually tailing off far downstream where the variation in shear stresses becomes smaller.

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## Figures

Figure 8

Distribution of Nusselt number for Pr=1000

Figure 7

Distribution of local surface temperature for Pr=100

Figure 6

Distribution of shear stress

Figure 5

Temperature distribution at (a) ξ=0.0, (b) ξ=0.1075, (c) ξ=1.0102, and (d) ξ=2.0139 while Pr=1000.

Figure 4

Temperature distribution at (a) ξ=0.0, (b) ξ=0.1075, (c) ξ=1.0102, and (d) ξ=2.0139 while Pr=100

Figure 3

Velocity distribution at (a) ξ=0.0, (b) ξ=0.1075, (c) ξ=1.0102, and (d) ξ=2.0139

Figure 2

Coordinates

Figure 1

Modified power-law correlation

## Errata

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