Explanation Given information: Bahrami states that f Re = 64 can be achieved by replacing hydraulic diameter with A The hydraulic diameter is defined as, D h = 4 A Ρ In above equation, A - Area of the duct Ρ - Perimeter of duct The Bahrami’s idea is defined as, D B = A Calculation: The factor, D B D h is defined as, D B D h = A ( 4 A P ) = P 4 A Consider a isosceles triangle, Consider the height of the triangle as h Therefore, The perimeter is equal to, P = 2 h sec θ + 2 h tan θ The area is equal to, A = h 2 tan θ Now, calculate the above mentioned factor, D B D h = P 4 A = 2 h sec θ + 2 h tan θ 4 h 2 tan θ = sec θ + tan θ 2 tan θ Calculate the f Re B based on Bahrami’s idea, f Re B = ( sec θ + tan θ 2 tan θ ) f Re D h Calculate f Re B for angles 10 ° , 50 ° & 80 ° According to the table 6.4, We know that, f Re D h → 10 ° = 51.6 f Re D h → 50 ° = 52 f Re D h → 80 ° = 48

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Author: Frank White

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 6, Problem 6.95P

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Bahrami’s ides for isosceles triangles in table 6.4 and comment on it.

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Chapter 6, Problem 6.94P

Chapter 6, Problem 6.96P

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