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In Currie’s fluid mechanics textbook, there is a statement “the vorticity of each fluid particle will be preserved.” as the result of Kelvin’s circulation theorem. Kelvin’s circulation theorem claims that For inviscid flow, constant density or barotropic fluid, conservative body force, the...

These are amazing. Thank you very much!

Thanks for the reply. Do you mean the term ##n_i##s are the component of arbitrary surface vector##\vec{n}##, and the author chose an unit vector in the 1 direction as the surface vector for the first example which is ##(1,0,0)##? As a result, because ##n_1=1##, ##n_2=0##, ##n_3=0##, the surface...

Thank you for your kind explanation!

Do you mean the point is, ##\vec{P}=(P_1,P_2,P_3)## and, ##P_j=\sigma_{ij}n_i## so ##\vec{P}=\sigma_{ij}n_i \hat{e_j}##??

I'm studying with Currie's Fundamental Mechanics of Fluids, Fourth edition. I'm confusing with the above statement; the force acting in the x2 direction is P2=s12n1 which is n1 direction. Is there anybody help me to understand this subject?