1. Engineering
  2. Mechanical Engineering
  3. 5 consider the flow description in question 1 again with...

Question: 5 consider the flow description in question 1 again with...

Question details

5. Consider the flow description in Question 1 again. With A D-o (as in Q1(b) determine (in terms of B and C, but without requiring irrotationality) the circulation around the triangle formed from the points (0.0), (20) and (2.2) in the r v plane. Use both line integral and area integral formulas for the definition of the circulation, and make sure that the answers okhtainet froam oither approach are the same 1. Consider a 2D constant density flow with velocity components given in the form u Ar + By and v C+ Dy, where A, B, C, D are constant coefficients. (a) Find the relations that must exist among these constants in order for the flow to be (i) consistent with conservation of mass and (ii) irrotational. (b) If A D-0 obtain an equation for the streamlines. In that case, comment on how the shape of the streamlines depends on the signs of B and C5. Consider the flow description in Question 1 again. With A D-o (as in Q1(b) determine (in terms of B and C, but without requiring irrotationality) the circulation around the triangle formed from the points (0.0), (20) and (2.2) in the r v plane. Use both line integral and area integral formulas for the definition of the circulation, and make sure that the answers okhtainet froam oither approach are the same 1. Consider a 2D constant density flow with velocity components given in the form u Ar + By and v C+ Dy, where A, B, C, D are constant coefficients. (a) Find the relations that must exist among these constants in order for the flow to be (i) consistent with conservation of mass and (ii) irrotational. (b) If A D-0 obtain an equation for the streamlines. In that case, comment on how the shape of the streamlines depends on the signs of B and C

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution