What question did this study set out to answer?

Establish a theoretical framework and analytical model to predict heat transfer rates between rough surfaces and incompressible fluid flows.

March 1, 1963Journal of Fluid Mechanics

Heat transfer across rough surfaces

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Authors

WTWendy ThomsonVersus Arthritis

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Implication

Theoretical modeling demonstrates fluid viscosity and conductivity govern heat transfer across rough surfaces, enabling improved extrapolation across Reynolds and Prandtl numbers.

Key Points

Establish a theoretical framework and analytical model to predict heat transfer rates between rough surfaces and incompressible fluid flows.
Constructed a near-surface flow model based on unsteady horseshoe eddies wrapping around closely spaced roughness excrescences.
Coupled the local eddy transport mechanism with Reynolds analogy between velocity and temperature distributions in the bulk fluid flow.
Derived a heat transfer expression dependent on roughness Reynolds number and Prandtl number, calibrated using available experimental data.
Demonstrated that heat transfer remains fundamentally dependent on fluid viscosity and thermal conductivity, even when skin friction becomes independent of Reynolds number.
Confirmed through order-of-magnitude analysis that the empirical functional form aligns with surface scouring by unsteady horseshoe eddies.

Cite This Study

Wendy Thomson (1963) studied this question.

synapsesocial.com/papers/6a7f6ffe282c5ad4c5fbdb93 https://doi.org/10.1017/s0022112063000288

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Implication

Theoretical modeling demonstrates fluid viscosity and conductivity govern heat transfer across rough surfaces, enabling improved extrapolation across Reynolds and Prandtl numbers.

Heat transfer across rough surfaces

Discussion

Member takes

Implication

Key Points

Cite This Study

Heat transfer across rough surfaces

Discussion

Member takes

Implication

Key Points

Cite This Study

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