An irrotational region of two-dimensional flow is formed by superimposing a source of strength m 1 =
Question:
An irrotational region of two-dimensional flow is formed by superimposing a source of strength m1= 2.00 m2/s at (x,y) = (0, –1), a sink of strength m2= –1.00 m2/s at (x,y) = (1, –1), and a vortex of strength Γ = 1.50 m2/s at (x,y) = (1,1), where all spatial coordinates are in meters. Calculate the fluid velocity at the point (x,y) = (1,0). In the figure below, m is represented as (V& / L), which can be used to approximate three dimensional line source of length L (perpendicular to the figure plane) and volume flow rate V . (picture is attached)
A long circular cylinder of diameter 2a meters is set horizontally in a steady stream (perpendicular to the cylinder axis) of velocity U m/s. The cylinder is caused to rotate at ω rad/s around its axis. Obtain an expression in terms of ω and U for the ratio of the pressure difference between the top and bottom of the cylinder divided by the dynamic pressure of the stream (i.e., the pressure coefficient difference).
Fundamentals of Heat and Mass Transfer
ISBN: 978-0471457282
6th Edition
Authors: Incropera, Dewitt, Bergman, Lavine