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Error Correction in COMSOL Document

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In "Heat Transfer Module > User's Guide > Theory for the Heat Transfer Module > Theory for Thermal Contact", the relative pressure p ⁄ Hc calculated by the follwing equation is from the Ref.1.

P/Hc=(P/(c1(1.62sigma/sigma0m)^c2))^(1/(1+0.071c2)); 1. A. Bejan and others, Heat Transfer Handbook, John Wiley & Sons, 2003.

However, in many other papers, containing the reference of the wrong equation in Ref.1, p ⁄ Hc using the following equation instead. The difference with the above one is its math symbol before the variable m.

P/Hc=(P/(c1(1.62sigma/sigma0/m)^c2))^(1/(1+0.071c2)); *2. S. Song and others, Relative Contact Pressure: Dependence on Surface Roughness and Vickers Microhardness, Journal of thermophysics and heat transfer, 1988. 3. M. Bahrami and others. Modeling Thermal Contact Resistance: A Scale Anslysis Approach, J. Heat Transfer, 2004.

I am not sure if it has other influence in Comsol, though any impacts has not had on CMY conductance model in my limited simulation.


1 Reply Last Post Mar 7, 2022, 7:36 a.m. EST
Anthony Paumier COMSOL Employee

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Posted: 3 years ago Mar 7, 2022, 7:36 a.m. EST

Dear 程万里 鹏,

Thank you for posting on the Discussion Forum. You are right, there is a mistake in our documentation. I want to emphasize that the equations are solved using the correct formula: as you wrote it, so there is no worries to have about the results.

Thank you for pointing out this mistake, we have corrected the documentation.

Best regards,

Anthony Paumier

Dear 程万里 鹏, Thank you for posting on the Discussion Forum. You are right, there is a mistake in our documentation. I want to emphasize that the equations are solved using the correct formula: \frac{p}{H_c} = \left(\frac{p}{c_1 \left(1.62 \frac{\sigma_\textrm{asp}}{m_\textrm{asp} \sigma_0} \right)^{c_2}} \right)^\frac{1}{1+0.071 c_2} as you wrote it, so there is no worries to have about the results. Thank you for pointing out this mistake, we have corrected the documentation. Best regards, Anthony Paumier

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