Stream Function and Velocity Potential, Incompressible and Potential Flow

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  • Created by: 12345
  • Created on: 24-12-17 16:33
Continuity Equation
du/dx + dv/dy = 0
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If there is a function ω = ω (x,y) such that :
u= dω/ dy v= - dω/dx
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Definition of Stream Function ω in symbols
ω = ω (x,y)
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N.B:
N.B: Stream function has a constant value on a streamline or streamline has constant value for its stream function
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Circulation
When there is rotational motion of the fluid, a measure of swirl
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Equation of Circulation
Γ = ∮ Vt dS
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For a 2D flow field
Vt = tangential dS= length of element which fluid is tangential
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Other cards in this set

Card 2

Front

u= dω/ dy v= - dω/dx

Back

If there is a function ω = ω (x,y) such that :

Card 3

Front

ω = ω (x,y)

Back

Preview of the back of card 3

Card 4

Front

N.B: Stream function has a constant value on a streamline or streamline has constant value for its stream function

Back

Preview of the back of card 4

Card 5

Front

When there is rotational motion of the fluid, a measure of swirl

Back

Preview of the back of card 5
View more cards

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