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Equation
         
    Name Kelvin Circulation Theorem  
 
    Equation
d d ⁢ t ⁢ v . d ⁢ l ⁢ =   0
 
 
    Definition of terms t = time, v = velocity, d l = infinitesimal line element on a closed curve  
 
    Comments

The circulation in a fluid is a measure of the velocity distribution and is defined as function ofv.dl. In an ideal fluid (one for which thermal conductivity and viscosity are unimportant), for flow at a constant entropy, the circulation does not change with time.

 
 
    References Fluid Mechanics , L D Landau, E M Lifshitz, Pergamon Press, 1959  
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