The Marangoni Number is a Peclet Number. It is the ratio between the surface forces due to the Marangoni effect and the thermal diffusivity. The Critical Marangoni Number is the value of the Marangoni Number for which the flow symmetry and steadiness are lost.
Critical Mach Number has nothing (directly) to do with altitude. Mach Number has everything to do Temperature,
The critical bit of information: the number after "nearest" is missing from the question.
Vc = (Reyonlds Number * viscosity)/diameter of tube*density
f(x)=sinx+cosx take the derivative f'(x)=cosx-sinx critical number when x=pi/4
Halloween is October 31
Clara Marangoni was born in 1915.
Mario Marangoni has written: 'Costermano'
Carlo Marangoni was born on 1840-04-29.
Carlo Marangoni died on 1925-04-14.
Rodrigo Marangoni was born on 1978-02-21.
Alan Marangoni was born on 1984-07-16.
Claudio Marangoni was born on 1954-11-11.
Paolo Marangoni has written: 'Memorias de una hormiga'
L. Marangoni has written: 'La basilica di S. Marco in Venezia.'
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Diffusorphoresis, Electrophoresis, pH Taxis, Thermophoresis, Marangoni