Lec 7-8 Flashcards
Whats fanning friction factor and when does it apply
fanning friction factor f
Frictional force = f* kinetic E * Area
Characteristic area is the wetted area in contact with the fluid
For flow past stationary bodies or through conduist
Hydraulic diameter
Dh = 4Ac/Pw
= 4AcL/Sw
What does the friction factor for turbulent flow depend on
Reynolds number and k/Dh
where k is the roughness factor of the conduit wall
Does not depend on geometry or entry length
What does the friction factor for laminar flow depend on
Depends on Reynolds number, geometry and entry length
Does not depend on roughness
When to use moody diagram
For turbulent flow (must know roughness)
What is the friction factor for fully developed laminar flow in a circular tube
f = 16/Re_d
What is entry length
The length that it takes for a flow to settle into its velocity profile (become steady velocity profile)
How to find friction factor for laminar flow with entry effects
Use graph for laminar flow pressure drop loss at entrance
When can we use the M0 diagram
When we have laminar fully developed flow (for any shape)
If it were circular, we would use f = 16/Re_d, but if not we use the resistance
How does fanning factor change with external flow
Fk = fKA
But here, K = 1/2 * v_infinity^2 * m
and A is the frontal area of the body
What friction factor can you use for reynolds number below 0.5 drag flow for a sphere
f = 24/Re_Dh
Gives you Stoke’s law -> Fk = 3piµDs*v_infinity
compliance
C = dV/dPtm