1. For a soap bubble, the inside pressure must be greater than that outside, and the surface tension acts like a skin to support this pressure difference Ap. The pressure difference is then a function of surface tension σ and bubble radius R, i.e., Ap = f(o, R). Using Buckingham Pi theorem, find the II group(s) associated with this problem and express them in the form II₁ = (II2, ..., II-r). (Ans: ApR = constant) σ

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.5P: Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen,...
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1. For a soap bubble, the inside pressure must be greater than that outside, and the surface tension acts
like a skin to support this pressure difference Ap. The pressure difference is then a function of surface
tension σ and bubble radius R, i.e., Ap = f(o, R). Using Buckingham Pi theorem, find the II group(s)
associated with this problem and express them in the form II₁ = (II2, ..., II-r). (Ans: ApR = constant)
σ
Transcribed Image Text:1. For a soap bubble, the inside pressure must be greater than that outside, and the surface tension acts like a skin to support this pressure difference Ap. The pressure difference is then a function of surface tension σ and bubble radius R, i.e., Ap = f(o, R). Using Buckingham Pi theorem, find the II group(s) associated with this problem and express them in the form II₁ = (II2, ..., II-r). (Ans: ApR = constant) σ
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