Consider a two-dimensional flow in the upper half plane of (x, y) bounded below by a Fid plate coinciding with the x axis. At t=0 the plate suddenly moves in the tangential direction at constant velocity 'U'. The velocity distribution of the flow is obtained as u = U1-erf(- U (1-0). Using the properties of the error function i) verify whether u is satisfying the conditions: (a) u = U at y=0_(for t≥0) (b) u=0 as y→∞(for t≥0) (c) u=0 at t = 0 (fory) ii) determine the stress at wall using the condition Txy (0,1)= μ du dy ly-0
Consider a two-dimensional flow in the upper half plane of (x, y) bounded below by a Fid plate coinciding with the x axis. At t=0 the plate suddenly moves in the tangential direction at constant velocity 'U'. The velocity distribution of the flow is obtained as u = U1-erf(- U (1-0). Using the properties of the error function i) verify whether u is satisfying the conditions: (a) u = U at y=0_(for t≥0) (b) u=0 as y→∞(for t≥0) (c) u=0 at t = 0 (fory) ii) determine the stress at wall using the condition Txy (0,1)= μ du dy ly-0
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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![Consider a two-dimensional flow in the upper half plane of (x, y) bounded below by a
Fid plate coinciding with the x axis. At t= 0 the plate suddenly moves in the
tangential direction at constant velocity 'U'. The velocity distribution of the flow is
y
erf(-
2vt
obtained as u=U|1-
Using the properties of the error function
i) verify whether u is satisfying the conditions:
(a) u=U at y=0_(for t20)
(b) u=0 as y→0 (for t>0)
(for V y)
(c) u=0 at t=0
du
ii) determine the stress at wall using the condition T (0,1)=µ
dy
ly-0
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Transcribed Image Text:Consider a two-dimensional flow in the upper half plane of (x, y) bounded below by a
Fid plate coinciding with the x axis. At t= 0 the plate suddenly moves in the
tangential direction at constant velocity 'U'. The velocity distribution of the flow is
y
erf(-
2vt
obtained as u=U|1-
Using the properties of the error function
i) verify whether u is satisfying the conditions:
(a) u=U at y=0_(for t20)
(b) u=0 as y→0 (for t>0)
(for V y)
(c) u=0 at t=0
du
ii) determine the stress at wall using the condition T (0,1)=µ
dy
ly-0
Once you upload files from your second device, click on
C Sync to check your submission
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