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Question # 3 The potential flow equation (Laplace Equation) in polar coordinate is given as follow: a² 10 10²4 + + ar² Far 7²002= 0 Use finite difference method to formulate

a numerical algorithm for solve for the flow over the cylinder: V R Boundary Condition: e Use a computation domain r = [1, 11], and 0 = [0, π] (x,y) Ur=(r= R = 1) = 0 (r = 11) = Voor cose - Rwe, го The analytical solution is: p = √∞ (1+²) - Tº You may continue from the MATLAB Code that you have been working from Lab #3 Tutorial on flow over cylinder (Note the cylinder was stationary). You may have to implement the overlapping boundary condition differently for j=1 and j-nt.

Fig: 1