Problem 1: Consider a uniform flow (U. ) past a 2D cylinder(1) Derive analytical expression for the the drag and lift forces exerted on a 2D cylinder in an inviscidflow, using either the stream function w or velocity potential ø provided below:y =U_r 1-:sin0, ø =l1+cos0.(2) Plot the streamlines around the cylinder. Discuss its differences in the vortex structures comparingwith the other cases at finite Reynolds numbers.(a) Re << 1(b) Re= 10(c) Re 60(d) Re 1000

stream function is dfined as scalar function of space and time such that its partial derivative with…

(1) Derive analytical expression for the the drag and lift forces exerted on a 2D cylinder in an inviscid flow, using either the stream function y or velocity potential ø provided below: =U_r 1-: sin0, ø=U_r |cos

(1) Derive analytical expression for the the drag and lift forces exerted on a 2D cylinder in an inviscid flow, using either the stream function y or velocity potential ø provided below: =U_r 1-: sin0, ø=U_r |cos

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Problem 1: Consider a uniform flow (U. ) past a 2D cylinder
(1) Derive analytical expression for the the drag and lift forces exerted on a 2D cylinder in an inviscid
flow, using either the stream function w or velocity potential ø provided below:
y =U_r 1-:
sin0, ø =l
1+
cos0.
(2) Plot the streamlines around the cylinder. Discuss its differences in the vortex structures comparing
with the other cases at finite Reynolds numbers.
(a) Re << 1
(b) Re= 10
(c) Re 60
(d) Re 1000

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