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(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
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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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
Transcribed Image Text: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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