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Heat Transfer Research
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ISSN Imprimir: 1064-2285
ISSN On-line: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2017016342
pages 1473-1495

THERMAL CHARACTERISTICS OF NON-NEWTONIAN POWER-LAW FLUID FLOWS AROUND A CONFINED TRIANGULAR PRISM

Richa Agarwal
Department of Chemical Engineering, Indian Institute of Technology Roorkee, Roorkee - 247 667, India
Amit Kumar Dhiman
Department of Chemical Engineering, Indian Institute of Technology Roorkee, Roorkee - 247 667, India

RESUMO

The thermal characteristics of non-Newtonian power-law fluid flows in a horizontal channel with a symmetrically built-in equilateral triangular prism have been examined. Particularly, two-dimensional numerical computations are carried out for Reynolds numbers Re = 1–40, Prandtl numbers Pr = 1–50, blockage ratios β = 0.125–0.5, and power-law indices n = 0.4–1.8. Extensive numerical results on isotherm patterns, average Nusselt number, the Colburn heat transfer factor jh, and the local Nusselt number on the surface of the triangular prism are reported to elucidate the combined effects of Re, Pr, β, and n. The results show that for the fixed Re, Pr, and n, the local and average Nusselt numbers increase with β, except for Re = 1 and Pr = 1, where the opposite trend is observed. Also, the average Nusselt number decreases as the fluid behavior alters from pseudoplastic to Newtonian and finally to dilatant (except for Re = 1, Pr = 1, and β = 0.5 for the range n ≤ 0.6), for the fixed Re, Pr, and β. Further, the jh factor is found to increase with increasing β, for the fixed Re, Pr, and n. The maximum percent enhancements in the average Nusselt number at Pr = 1 with respect to that at Pr = 50 are observed to be approximately 80% for both β = 0.125 and 0.25, and approximately 89% for β = 0.5. Finally, a simple heat transfer correlation is determined for various values of Re, Pr, n, and β.


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