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Transport Phenomena

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Mohamed Ismail

on 23 December 2014

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Transcript of Transport Phenomena

Transport phenomena
momentum transport

Mohamed Ismail
e-mail: mohamed_marghany@live.com
office hours: Saturday (12:00-13:00)
Monday (14:00-15:00)
Laminar flow with 1 velocity component
Couette flow (driven by
a moving surface)
Poiseuille flow (driven by
pressure or gravity)
Use Boundary Conditions
Linear profile
Parabolic profile
No slip BC
continuity of velocity
continuity of shear stress
Zero shear stress

Boundary Layer Theory
The effects of viscous friction are confined to a relatively thin fluid
layer immediately adjacent to the immersed surface.
Since l>>>delta & Vx>>>Vy
Potential Flow (Inviscid, irrotational and incompressible)
Use the velocity
potential & integrate
Bernoulli's Equation
To solve two dimensional Potential flow
Conformal Mapping
Potential flow equations can't
be used near solid surfaces
For flow over objects the effects of viscous friction would be confined to a thin region of fluid very close to the solid surface.
Consequently, for incompressible flows in which the fluid is accelerating, viscosity should be unimportant for much of the flow field.
To solve use combination of variables
y=delta @ v= 0.99 ve
"Blasius BL"
Introduction to Turbulence
Turbulent flow is most common in engineering applications
Thank You
v= v+v'
How will this affect the
equation of motion?
Reynolds' stresses
(Turbulent stress)
Eddy viscosity is not a physical property, but
depends on the flow
Models for calculating turbulent stresses:
Prandtl mixing length
this equation is valid in the turbulent core only
Comparison between laminar and turbulent velocity profiles
Full transcript