Problem statement: A simply supported beam of diameter D, length L, and modulus of elasticity E is subjected to a fluid crossflow of velocity V, density p, and viscosity µ. Its center deflection 8 is assumed to be a function of all these variables. Part A - Rewrite this proposed function in dimensionless form. (Hint: Take L, p, and V as repeating variables.) Part B- Suppose it is known that & is independent of µ, inversely proportional to E, and dependent only upon pV², not p and separately.
Problem statement: A simply supported beam of diameter D, length L, and modulus of elasticity E is subjected to a fluid crossflow of velocity V, density p, and viscosity µ. Its center deflection 8 is assumed to be a function of all these variables. Part A - Rewrite this proposed function in dimensionless form. (Hint: Take L, p, and V as repeating variables.) Part B- Suppose it is known that & is independent of µ, inversely proportional to E, and dependent only upon pV², not p and separately.
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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![Homework Parts A and Part B
Problem statement: A simply supported beam of diameter D, length L, and modulus of
elasticity E is subjected to a fluid crossflow of velocity V, density p, and viscosity µ. Its
center deflection ô is assumed to be a function of all these variables.
Part A- Rewrite this proposed function in dimensionless form. (Hint: Take L, p, and V as
repeating variables.)
Part B- Suppose it is known that 8 is independent of µ, inversely proportional to E, and
dependent only upon pV², not p and separately.
Simplify the dimensionless function accordingly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7907abb7-51e2-4e92-aa6b-d54f149afaaf%2F6c07fe02-9de7-4dad-ac14-f7fdfe713484%2Fgd79l6s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Homework Parts A and Part B
Problem statement: A simply supported beam of diameter D, length L, and modulus of
elasticity E is subjected to a fluid crossflow of velocity V, density p, and viscosity µ. Its
center deflection ô is assumed to be a function of all these variables.
Part A- Rewrite this proposed function in dimensionless form. (Hint: Take L, p, and V as
repeating variables.)
Part B- Suppose it is known that 8 is independent of µ, inversely proportional to E, and
dependent only upon pV², not p and separately.
Simplify the dimensionless function accordingly.
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