water (ρ = 1000 kg / m ^ 3, v = 1.0 * 10 ^ -6 m ^ 2 / s, μ = 1.0 * 10 ^ -3 kg / ms) flows from a 50 cmm diameter pipe at 2 m / s . A model of this system will use air (ρ = 1.2 kg / m ^ 3, v = 1.5 * 10 ^ -5 m ^ 2 / s μ = 1.8 * 10 ^ -5 kg / ms) as fluid . Air velocity will be 30 m / s. Find the required pipe diameter to achieve dynamic similarity between model and prototype.
water (ρ = 1000 kg / m ^ 3, v = 1.0 * 10 ^ -6 m ^ 2 / s, μ = 1.0 * 10 ^ -3 kg / ms) flows from a 50 cmm diameter pipe at 2 m / s . A model of this system will use air (ρ = 1.2 kg / m ^ 3, v = 1.5 * 10 ^ -5 m ^ 2 / s μ = 1.8 * 10 ^ -5 kg / ms) as fluid . Air velocity will be 30 m / s. Find the required pipe diameter to achieve dynamic similarity between model and prototype.
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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water (ρ = 1000 kg / m ^ 3, v = 1.0 * 10 ^ -6 m ^ 2 / s, μ = 1.0 * 10 ^ -3 kg / ms) flows from a 50 cmm diameter pipe at 2 m / s . A model of this system will use air (ρ = 1.2 kg / m ^ 3, v = 1.5 * 10 ^ -5 m ^ 2 / s μ = 1.8 * 10 ^ -5 kg / ms) as fluid . Air velocity will be 30 m / s. Find the required pipe diameter to achieve dynamic similarity between model and prototype.
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