- B Two Stream Functions And Streamlines Are Given In Figure Q1 Draw The Streamlines For Potential Flow Created By Linea 1 (100.2 KiB) Viewed 19 times
b) Two stream functions and streamlines are given in Figure Q1. Draw the streamlines for potential flow created by linear superposition of this combination, write down the stream function for it, and state the name of the shape that is created. [3] c) Using the result from (b), calculate the the position of the stagnation point(s) in polar co- ordinates. In polar co-ordinates, the gradient operator is V = 8 18 Ər'r 20 d) Compare the pressure profile around the shape from (b) in potential flow with that from a real flow with viscosity and a high Reynolds number which displays flow separation. [3] e) Adding a vortex stream function to the shape created in (b) allows the flow over a rotating cylinder to be derived. Using diagrams, explain how the position of the stagnation points change as the strength I of the vortex flow increases. [5] f) For a velocity potential to be valid, it is must be irrotational. Given the following velocity potential function, calculate the velocity components and prove that this is a valid potential function: 6 = 2xy² - ²32³ Use the Cartesian gradient operator: Ə Ə V = Əx' dy