Mechanics of Fluids Quiz

(Conservation of mass) For a certain incompressible flow field it is suggested that the velocity components are given by u=2x^2 v=4y^3 w=2z is this a physically possible flow field?
Yes it is possible
No it is not possible since the fluid with given components is not incompressible
No, its not possible since the components depend on x,y and z
No its not possible since the conservation of mass condition is not satisfied
The required number of pi terms is what compared to the number of original variables?
Fewer than
Greater than
Equal to
The buoyant force, FB acting on a body submerged in a fluid is a function of the specific weight y of the fluid and the volume V, of the body. By dimensional analysis, find relation between the buoyant force and the specific weight
Fb~(y)^.5
Fb~ (y^2)
Fb~1/y
Fb~1/y^2
Fb~y
Water is flowing in a pipe. Which is the correct statement about the effect of a increase in the Reynolds number of the flow:
If the flow is laminar it cannot become turbulent if the wall is smooth
If the flow is turbulent it could be laminar
If the flow is laminar it could become turbulent
If the flow is laminar it cannot become turbulent unless the wall is rough
There is a steady laminar flow of water in a pipe of length L. As the mass flow rate increases, the pressure drop over the length L.
Increases
Decreases
Stays the Same
What is the most likely to be the main driving force in pipe flow?
Gravity
Vaccum
A pressure Gradient
In fluid mechanics, the fluid boundary layer is define as
A boundary zone around the object of intrest
A layer inside a boundary
The region in the fluid where the fluid interacts with the surface
The fluid attached to the surface
The pressure and shear stress on the small surface of area A tilted at and angle theta are show below. The area is small enough so that the pressure and shear can be considered constant over the surface.
D=Twcos(theta) delta A
D= Tw cos(theta) delta A + p cos(theta) delta A
D= Tw sin(theta) delta A + p cos(theta) delta A
D Tw cos(theta) delta A + p sin(theta) delta A
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