Turbomachines Lecture 2930 ME EN 412 Andrew Ning aning@byu.edu - - PDF document

turbomachines
SMART_READER_LITE
LIVE PREVIEW

Turbomachines Lecture 2930 ME EN 412 Andrew Ning aning@byu.edu - - PDF document

Turbomachines Lecture 2930 ME EN 412 Andrew Ning aning@byu.edu Outline Introduction Velocity Triangles Angular Momentum Balance Introduction Introduction Which of the following are turbomachines? gas turbine engine jet engine


slide-1
SLIDE 1

Turbomachines

Lecture 29–30

ME EN 412 Andrew Ning aning@byu.edu

Outline

Introduction Velocity Triangles Angular Momentum Balance

slide-2
SLIDE 2

Introduction Introduction

Which of the following are turbomachines?

  • gas turbine engine
  • jet engine
  • compressor
  • wind or water turbine
  • propeller
  • fan
  • centrifugal pump
  • blender
slide-3
SLIDE 3

Turbomachines: mechanical devices that transfer energy between a rotor and a fluid. turbine: extracts energy from the fluild. pump/compressor/propeller/fan: adds energy to the fluid. Open and Closed

slide-4
SLIDE 4

Direction of fluid motion

Jeff Dahl, CC BY-SA 4.0

slide-5
SLIDE 5

public domain, NASA Chris Lim, CC BY-SA 2.0 Anders Sandberg, CC BY 2.0

slide-6
SLIDE 6
  • S. J. de Waard, CC BY 2.5

Velocity Triangles

slide-7
SLIDE 7

Velocity Triangles

V = W + Uθ W: relative velocity V : absolute velocity Uθ: blade velocity

slide-8
SLIDE 8

Video: https://youtu.be/Wh4Furbn1Gk fan or turbine?

slide-9
SLIDE 9

Angular Momentum Balance Angular Momentum Balance

∂ ∂t

  • V

– ρ( r× V )dV – +

  • S

( r× V )(ρ W·d A) =

  • (

r× F)

slide-10
SLIDE 10

Usually the problems we are interested in are steady (in a time-averaged sense)

  • S

( r × V )(ρ W · d A) =

  • (

r × F) Or for convenience:

  • S

( r × V ) ˙ m = T

Examples

  • Ex. 5.18
  • P 12.8
  • P 12.10
  • P 12.3
  • P 12.12