... direction moves to A‘B’ while rotating by dq, and AD in the y direction rotates by de, Thus av de - - dxdt - ax at4 d = dydt E aY de - L = - d av d~ t I - dx ax de = dt dE2 dy au - ay The angular ... case of two-dimensional flow where w = V is an operator which represents a a a ax ay az i-+j-+k- where i,j , k are unit vectors on the x, y z axes 50 Fundamentals of flow Fig 4.11 Tornado movement ... dA), to obtain dr=udx+ ( 3( v+-dx dy- u+-dy dx-vdy= ( g - g ) d x d y = [dxdy = CdA (4.10) C is two times the angular velocity w of a rotational flow (eqn (4.6)), and the circulation is equal to...