I am workersng on laser powder bed fusio. Can you please inform me if there is any relation between Marangoni number and reynoldnumbe?
Marangoni number and Reynolds number express different mechanical properties of liquids. The first one is in fact the ratio between surface tension forces and viscosity forces in liquid and can generally be applied to the convection occured due to temperature dependence of surface tension, so called Marangoni effect. The second one expresses the ratio between inertia forces and viscosity forces and is applied generally to the transition between laminar and turbulence flow regimes.
@mikhail thank you. I saw somewhere that Ma=Re.Pr. I don't know if this equation is right or wrong. I calculated these numbers separately, but when I try to input them in this equation, they Don't match at all. Do you have any idea about this? Thanks!
Marangoni number may be proportional not to Reynolds number (Re) but to Rayleigh number (Ra), you can read about it elsewhere, in https://pdfs.semanticscholar.org/3e3a/e2b50787e13328bf32861926730758870861.pdf , for instance.
Your formula presented above is not correct. Correct formula is Pe = Re.Pr, where Pe is Peclet number expressing the ratio between convective and diffusive heat transfer in liquids.
Mikhail Yu. Yakimov Thank you very much! I have one last question. There is a cell reynolds number in the CFD softwares, which is way lower than the one I calculate analytically. I believe they consider the size of the mesh element to calculate reynolds number. My question is, If I know the other parameters (Density, viscosity and characteristic length which is equal to laser spot size in my case ), can I use the velocity which is calculated by the software to analytically calculate reynold number? Thank you again for your help!
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