Lecture_33_notes - Chemical Engineering 374 Fluid Mechanics...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
1 1 Chemical Engineering 374 Fluid Mechanics Fall 2011 Exam 3 Review Exam Review, By Content/Lectures • Classes 25-32 (plus review) • Chapter 6.1-6.4 Momentum Balance • Chapter 9.1-9.2, 9.4-9.6 Differential Balances • Chapter 10.6 Boundary Layers • Chapter 14.1-14.5 Pumps and Turbines • HW 19-26 2
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 Class 25—Integral Momentum Balance Force Balance – mdot is not a vector – Forces are external: body and surface (esp. P) – Decompose into scalar directions • One equation in one unknown (force, etc.) • Signs matter! Pick control volume intelligently Pressure surface forces should be gauge (unless account for full absolute pressure (including atm) on all surfaces.) For nonuniform flows, may have to integrate to get the full terms in the force balance, but the principle is the same. 3 X ± F = dm ± v dt + X m ± v ) out - X m ± v ) in Class 26—Differential Balances Mass Balance Momentum Balance Derived from the RTT Continuity Equation – Used as a constraint for velocity – Book/handouts give expanded forms for Cartesian, Cylindrical, Spherical coordinates. – Incompressible (const ρ ) means rate in = rate out. – If rate in = is not rate out then the density is changing. Momentum equation: just a differential force balance – (accum) = (in)-(out) + (body and surface forces) – Book/handouts give expanded forms in three coordinates – Again, use to find velocity field or pressure field. 4 ⇥ρ t + · ( ρ⇤ v )=0 · ± v =0
Background image of page 2
3 Class 27—Navier-Stokes Equations Incompressible, Newtonian, vector The equations look scary, but we seriously simplify them Know how to drop out terms: Solution procedure: Is it steady? (usually, here), is it compressible (no, usually here const
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

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.

Page1 / 5

Lecture_33_notes - Chemical Engineering 374 Fluid Mechanics...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online