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Use the case V(u,v)=(8−ax)i^+(4−b^2y)j^ to evaluate the magnitude of velocity and acceleration at a coordinate point (5,5) in terms of the constants a and b. State the acceleration vector. Under what conditions is this flow field satisfying the conservation of mass of an incompressible flow?

Use the case V(u,v)=(8−ax)i^+(4−b^2y)j^ to evaluate the magnitude of velocity and acceleration at a coordinate point (5,5) in terms of the constants a and b. State the acceleration vector. Under what conditions is this flow field satisfying the conservation of mass of an incompressible flow?

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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Use the case 

V(u,v)=(8−ax)i^+(4−b^2y)j^

to evaluate the magnitude of velocity and acceleration at a coordinate point (5,5) in terms of the constants a and b. State the acceleration vector.  

 

Under what conditions is this flow field satisfying the conservation of mass of an incompressible flow? 

Acceleration and steady conservation of mass equations are given below ди ди ди ди +V +w = +U ax ; ὃν ὃν ὃν ὃν = +u +V +w ду əz az ay Ət Әх dy əz at əx αν Əw + = 0 Əy дz du əx + dw dw dw dw = +u +V +w Ət Əx dy əz
Transcribed Image Text:Acceleration and steady conservation of mass equations are given below ди ди ди ди +V +w = +U ax ; ὃν ὃν ὃν ὃν = +u +V +w ду əz az ay Ət Әх dy əz at əx αν Əw + = 0 Əy дz du əx + dw dw dw dw = +u +V +w Ət Əx dy əz
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