Lecture_18_notes - 1 1 Chemical Engineering 374 Fluid...

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Unformatted text preview: 1 1 Chemical Engineering 374 Fluid Mechanics Fall 2011 Minor Losses Recap • Δ P à f, Re, f = f(Re, ε /D) • Relate, Δ P, L, D, v. • Colbrook Eqn. gives f(Re, ε /D) – Implicit equation – Haaland is explicit – 3 problem types: Δ P, D, flow rate (v) • Swamee & Jain relations • Note: 2 friction factors – Darcy (our book) – Fanning = ¼ Darcy • Moody Diagram plots the Colbrook Equation – f drops with Re – Transition region in grey – Turbulent f >> laminar f – Curves flatten, become independent of Re at high Re (fully rough flow) 2 2 • Write – SS, no Heat transfer, no Shaft work – Mechanical losses due to friction • Pipes • Pipelines consist of more than just pipes – Valves, fittings, bends, elbows, flow meters, expansions, etc. – All cause losses • Generally small (hence “ minor ” losses) • Provided have long pipes and few fittings • Two methods to account for losses – Loss Coefficient: K L – Equivalent Pipe Length 3 Δ P ρ + Δ v 2 2 + g Δ z ⇥ =- F F = fLv 2 2 D Loss Coefficient Δ P ρ + Δ v 2 2 + g Δ z =- F =- K v 2 2 =- W L • 3 forms: – Energy, pressure, head • Constant times:...
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This note was uploaded on 03/11/2012 for the course CHE 374 taught by Professor Davidlignell during the Fall '12 term at Brigham Young University, Hawaii.

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Lecture_18_notes - 1 1 Chemical Engineering 374 Fluid...

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