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List Equations Exam 1 ABE 454

List Equations Exam 1 ABE 454 - List of Equations Exam 1...

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List of Equations Exam 1 Spring 2011 ABE 454 Page 1 of 5 LIST OF EQUATIONS RHEOLOGICAL MODELS γ μ σ = n k γ σ = γ η σ σ + = o n o k γ σ σ + = γ σ η = app Rheological Model Based on Scale-up Approach ' ' n w D u 8 k = σ For Power-law fluids ' n n = ' ' ' ' n n 4 1 n 3 k k + = FLOW OF FLUIDS IN PIPES Main Equation = w 0 2 3 w 3 d ) ( f 1 R Q σ σ σ σ σ π 1. Newtonian Fluid ( γ μ σ = ) (Hagen-Poiseuille Equation) Q R L 8 p 3 = π μ 2. Power Law Fluid ( n k γ σ = ) n 3 n R Q 4 n 4 1 n 3 R k L 2 p + = π . 3. Bingham Fluid ( γ η σ σ + = o ) ) ( 3 R Q R L 8 p o 3 σ π η + = If 4 . 0 w o < σ σ
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List of Equations Exam 1 Spring 2011 ABE 454 Page 2 of 5 + - = 4 o o 4 R P L 2 3 1 R P L 2 3 4 1 L 8 p R Q σ σ η π ) ( If 4 . 0 w o σ σ Herschel-Bulkley Model ( n o σ σ η γ = + )
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