Review Note
Last Update: 08/18/2023 10:34 PM
Current Deck: Fluid Quals
PublishedCurrently Published Content
Front
Plane laminar jet
a) Assumptions
b) Equation to solve
c) General steps
d) BCs
e) General form of solution
MAKE B AND C BETTER
a) Assumptions
b) Equation to solve
c) General steps
d) BCs
e) General form of solution
MAKE B AND C BETTER
Back
a) This is a BL flow so BL assumptions apply in general
Sufficiently large Re, thin viscous layer compared to length scale, 2D, incompressible, steady
Analysis far away from source so that flow is fully developed and profiles are similar
No external forces add/remove momentum and no solid boundaries impose pressure gradients
b)
c) The momentum flux at all x-stations is conserved (since we assumed no external forces), so we integrate for the momentum across y to find functional forms of freestream velocity and shear layer thickness as a function of x
Use a similarity solution with the stream function and chain rule manipulations
Transformed equation to solve is
d)
e)
Sufficiently large Re, thin viscous layer compared to length scale, 2D, incompressible, steady
Analysis far away from source so that flow is fully developed and profiles are similar
No external forces add/remove momentum and no solid boundaries impose pressure gradients
b)
c) The momentum flux at all x-stations is conserved (since we assumed no external forces), so we integrate for the momentum across y to find functional forms of freestream velocity and shear layer thickness as a function of x
Use a similarity solution with the stream function and chain rule manipulations
Transformed equation to solve is
d)
e)
No published tags.
Pending Suggestions
No pending suggestions for this note.