Given the planar velocity field vr = −A sin(Ωt) sin θ r 2 vθ = A sin(Ωt) cos θ r 2 , where A and Ω are known constants,

1. Determine the vorticity. 2. Compute the dilatation rate ∇ · v¯. 3. Comment on the existence of velocity potential and stream function and, if they do exist, compute them. 4. Find the acceleration for points along the line θ = 0 5. Obtain the trajectories and the streamlines. 6. Determine the fluid line that at t = 0 is given by θ = 0 and 0 < r < ∞.

Never use plagiarized sources. Get Your Original Essay on
Engineering – Mechanical Engineering Assignment
Hire Professionals Just from $11/Page
Order Now Click here

Need a custom written plagiarism free essay? Click here to order now.

Open chat
Lets chat on via WhatsApp
Hello, Welcome to our WhatsApp support. Reply to this message to start a chat.