工程流体力学第四章2(9)

工程流体力学分析,ansys

Solution

u

a1x b1 y c1z v a2 x b2 y c2 zContinuity for incompressible flow u v w 0 x y z

w a3 x b3 y c3 za1 b2 c3 0

Example 2 An incompressible velocity field: u=a(x2-y2),w=b, a,b are const,what v=?Solution

u v w 0 x y z

v 2ax 0 y

v 2ax y

v 2axy f ( x, z, t )

An arbitrary function of x,z,t