- Question 3 1 Define The Term Circulation Using A Sketch To Illustrate Your Answer Write Down An Equation From Which It 1 (130.73 KiB) Viewed 48 times
Question 3 1- Define the term circulation using a sketch to illustrate your answer. Write down an equation from which its value may be calculated. [2 marks] 2- Show that the circulation around an infinitesimally small rectangular path of dimensions 8x and dy in Cartesian coordinates is directly related to the local vorticity multiplied by the area enclosed by the path. [4 marks] 3. In a certain flow the stream function at the point (, ) is given by: ♡-Ursin where the constants U and a have the dimensions of velocity and length respectively. a) Obtain expressions for the radial and tangential components of velocity [2 marks] b) Determine the coordinates of the stagnation points and the value of the stream function at these points [3 marks] c) Show that part of the dividing streamline is a circle of radius () and sketch the whole of the streamline. [2 marks] d) Describe the type of flow represented by the stream function. [2 marks]