Chapter 8 Flashcards
Laminar Flow
A flow regime characterized by high momentum diffusion and low momentum convection. When a fluid is flowing through a closed channel such as a pipe or between two flat plates, either of two types of flow may occur depending on the velocity and viscosity of the fluid: laminar flow or turbulent flow.
Transitional Flow
The process of a laminar flow becoming turbulent is known as laminar-turbulent transition. This is an extraordinarily complicated process which at present is not fully understood.
Turbulent Flow
A flow regime characterized by chaotic property changes. This includes low momentum diffusion, high momentum convection, and rapid variation of pressure and flow velocity in space and time.
Enterance Length
The entrance length is the length in a tube or duct after an obstruction until the flow velocity profile is fully developed. A fluid need some length to fully develop the velocity profile after passing through components like bends, valves, pumps, turbines or similar.
Fully Developed Flow
Is when the viscous effects due to the shear stress between the fluid particles and pipe wall create a fully developed velocity profile for a fluid as it travels through the length of a straight pipe. The velocity of the fluid for a fully developed flow will be at its fastest at the center line of the pipe
Wall Shear Stress
The shear stress in the layer of fluid next to the wall of a pipe.
Poiseuille’s law
In the case of smooth flow (laminar flow), the volume flowrate is given by the pressure difference divided by the viscous resistance. This resistance depends linearly upon the viscosity and the length, but the fourth power dependence upon the radius is dramatically different.
Friction Factor
turbulent shear stress
major loss
Head loss for laminar or turbulent pipe flow can be written in terms of the friction factor. (For major losses)
minor loss
Head loss for laminar or turbulent pipe flow can be written in terms of the loss coefficients. (For minor losses)
relative roughness
The ratio between absolute roughness an pipe or duct diameter - is important when calculating pressure loss in ducts or pipes with the Colebrook Equation. Relative roughness can be expressed as
r = k / dh (1)
where
r = relative roughness
k = roughness of duct, pipe or tube surface (m, ft)
dh = hydraulic diameter (m, ft)
moody chart
Is a graph in non-dimensional form that relates the Darcy-Weisbach friction factor fD, Reynolds number Re, and relative roughness(e/D) for fully developed flow in a circular pipe. It can be used for working out pressure drop or flow rate down such a pipe.
colebrook formula
The friction coefficients used to calculate pressure loss (or major loss) in ducts, tubes and pipes can be calculated with the Colebrook equation
1 / λ1/2 = -2 log [2.51 / (Re λ1/2) + (k / dh) / 3.72]
where
λ = Darcy-Weisbach friction coefficient
Re = Reynolds Number
k = roughness of duct, pipe or tube surface (m, ft)
dh = hydraulic diameter (m, ft)
The Colebrook equation is only valid at turbulent flow conditions.
loss coefficient
used for minor losses
KL=