If the velocity profile of a fluid over a plate is parabolic with the vertex 20 cm from the plate, where the velocity is 120 cm/sec. Calculate the velocity gradients and shear stresses at a distance of 0, 10, and 20 cm from the plate, if the viscosity of the fluid is 8.5 poise. u = 120 cm/sec 20 cm
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
 alt="Problem 1
If the velocity profile of a fluid over a plate is parabolic with the vertex 20 cm from the plate,
where the velocity is 120 cm/sec. Calculate the velocity gradients and shear stresses at a distance
of 0, 10, and 20 cm from the plate, if the viscosity of the fluid is 8.5 poise.
u = 120 cm/sec
20 cm
Problem 2
A 10-kg block slides down on a smooth inclined surface as shown in Fig. below. Determine the
terminal velocity of the block if the 0.1-mm gap between the block and the surface contains SAE
30 oil at 60 °F (u = 0.38 N. s/m²). Assume the velocity distribution in the gap is linear, and the
area of the block in contact with the oil is 0.1 m?.
0.1 mm gap
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