Compressible Flow: Energy Lecture 22 ME EN 412 Andrew Ning - - PDF document

compressible flow energy
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Compressible Flow: Energy Lecture 22 ME EN 412 Andrew Ning - - PDF document

Compressible Flow: Energy Lecture 22 ME EN 412 Andrew Ning aning@byu.edu Outline Energy Equation Speed of Sound Stagnation Quantities Energy Equation Energy Equation rate of accumulation + rate of outflow rate of inflow = rate of


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SLIDE 1

Compressible Flow: Energy

Lecture 22

ME EN 412 Andrew Ning aning@byu.edu

Outline

Energy Equation Speed of Sound Stagnation Quantities

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SLIDE 2

Energy Equation Energy Equation

rate of accumulation + rate of outflow − rate of inflow = rate of production

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SLIDE 3

Work Differential form

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SLIDE 4

along a streamline: h1 + V 2

1

2 + gz1 + q = h2 + V 2

2

2 + gz2

Speed of Sound

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SLIDE 5

Speed of Sound

sound wave a = ∂p ∂ρ

  • s
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SLIDE 6

Stagnation Quantities Stagnation Quantities

T0 T = 1 + γ − 1 2 M 2

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SLIDE 7

P0 P =

  • 1 + γ − 1

2 M 2 γ/(γ−1) ρ0 ρ =

  • 1 + γ − 1

2 M 2 1/(γ−1) Example problem with helium-filled balloon in car.