Compressibility and divergence-free flow

AI Thread Summary
In the discussion on compressibility and divergence-free flow, the main focus is on the conditions for incompressibility in thermal flows at low Mach numbers. It is asserted that the divergence of velocity, Div(V), being equal to zero, is both a necessary and sufficient condition for incompressible flows. If Div(V) is not zero, the flow cannot be classified as incompressible. The conversation highlights the importance of this mathematical condition in understanding fluid dynamics. Overall, the consensus emphasizes the critical role of divergence in determining flow compressibility.
smarras
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Hi there, I'd like to know if, under the conditions of thermal flows (viscous, conductive) and low Mach numbers (< 0.3), it is formally/conceptually correct to affirm that "non-divergence is only necessary condition for incompressibility"

Thank you very much in advance

S.
 
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As far as I am aware Div(V)=0 is the only condition for incompressible flows. If Div(V) is not zero, flow is not incompressible and vice versa. So necessary and sufficient.
 
Hi there Sayak, thank you very much for replying!
All the best

Simone
 

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