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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018024625
pages 1531-1538

ISOFLUX NUSSELT NUMBER EXPRESSION FOR COMBINED POISEUILLE AND COUETTE FLOW CAPTURING ASYMMETRY AND SLIP

Daniel Kane
Tufts University, 200 College Ave., Medford, MA 02138
Marc Hodes
Tufts University, 200 College Ave., Medford, MA 02138

ABSTRACT

We analytically consider steady, fully-developed, laminar thermal transport between isoflux, parallel plates. Hydrodynamic slip length, thermal slip length, and heat flux are prescribed at each plate. A combined Poiseuille and Couette flow is driven by an imposed pressure gradient and a moving plate. A Nusselt number expression is presented as a function of dimensionless forms of the aforementioned flow and thermal parameters. The limiting cases of Poiseuille flow with and without slip and Couette flow without slip agree with existing expressions. The expressions for combined Poiseuille and Couette flow with and without slip and Couette flow with slip are new.

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