Momentum Equation Homework: Questions & Solutions

[oxxiissiixxo]

Homework Statement

The questions are in the attachment. please help!

Homework Equations

M term is the diffusion.

The Attempt at a Solution

for the right hand side terms, it is just adding another velocity term, however on the left hand side term, i dun understand y there will be a 1/2 since momentum equation is just substantial derivative of velocity.

 

[tiny-tim]

… on the left hand side term, i dun understand y there will be a 1/2 since momentum equation is just substantial derivative of velocity.

Hi oxxiissiixxo!

Because D(v_iv_i)/Dt = … ?