Question

In: Mechanical Engineering

For the flow field ?⃗ = ? + Ω × ? , where ?⃗ and Ω...

For the flow field ?⃗ = ? + Ω × ? , where ?⃗ and Ω are constant linear- and angular velocity vectors, use index notation to find its strain rate tensor ??? and rotation tensor ???.

Solutions

Expert Solution

We have,

Now,

Thus,

Using relation for strain rate tensor and rotation tensor as shown above

where, is the component of u along i direction

is the component of along i direction


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