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Lecture_22_notes

# Lecture_22_notes - Chemical Engineering 374 Fluid Mechanics...

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1 1 Chemical Engineering 374 Fluid Mechanics Fall 2010 Exam 2 Review Exam Review, By Content/Lectures Classes 13-21 Chapter 5.6 Mechanical Energy Chapter 7.1-7.5 Dimensional Analysis Chapter 8.1-8.8 Pipe Flows – Laminar – Turbulent – Minor Losses – Single Pipelines – Pipe networks – Flow measurement 2

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2 Class 13—Mechanical Energy Mechanical Energy Balance – Steady state – Friction losses included but just given – ME changes due to shaft work and friction – What if have heat transfer? – Head form? KE correction factor α – Know this, but ignore unless stated (i.e., exam), or lamina Examples similar to Chp 8, where we compute the friction losses explicitly. 3 P ρ + v 2 2 + g z = ˙ W ˙ m ˙ F ˙ m Class 14—Dimensional Analysis Dimensional Homogeneity Nondimensionalize equations: t*=t/t ref ; t=(t ref )(t*) Scaling Terms in equations become product of [..](..), where [..] give size, (..) is O(1). Can use this to find functional forms. Heat equation characteristic time Boundary layer thickness. Similarity—3 types (geometric, kinematic, dynamic) Equivalent systems are similar – The Π groups need to be equal between model and full-scale 4
3 Class 15—Dimensional Analysis

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Lecture_22_notes - Chemical Engineering 374 Fluid Mechanics...

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