Rho vee aaaah 0 = [ V A ] incoming + [ V A ] outgoing For steady - - PowerPoint PPT Presentation

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Rho vee aaaah 0 = [ V A ] incoming + [ V A ] outgoing For steady - - PowerPoint PPT Presentation

Rho vee aaaah 0 = [ V A ] incoming + [ V A ] outgoing For steady flow through a fixed volume. 1|10 Danger (| V | A ) 1 = (| V | A ) 2 if A increases, then V must decrease oder? 2|10 Photo US Navy (1961,


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SLIDE 1

Rho vee aaaah

0 = Σ [휌V⟂A]incoming + Σ [휌V⟂A]outgoing

For steady flow through a fixed volume.

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SLIDE 2

Danger

(휌|V⟂|A)1 = (휌|V⟂|A)2 “if A increases, then V must decrease”

  • der?

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SLIDE 3

Photo US Navy (1961, public domain) 3|10

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SLIDE 4

Photo CC-by-sa by Airwolfhound 4|10

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SLIDE 5

Photo by Lori Losey / NASA (public domain, 2007) 5|10

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SLIDE 6

Rolls-Royce Spey

Photo CC-by-sa Arjun Sarup 6|10

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SLIDE 7

Possibly Wrong Fluid Mech

1 only true if 휌 remains constant.

OK for water flows. No heat transfer, no expansion! Supersonic flow: A ↘ can lead to V ↘ because 휌 ↗.

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SLIDE 8

Smaller A, larger V?

Photo CC-by by Amy Stanley 8|10

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SLIDE 9

Possibly Wrong Fluid Mech

2 There is no causal relationship.

A2 ↘ may mean V2 ↗, but... nothing guarantees A2V2 remains constant! (maybe ̇ m ↘). Increases in velocity are not “for free”: they require force be applied and energy be spent.

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SLIDE 10

Are you using the mass balance equation to predict velocity? → also ask yourself: what force, what power required?

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