Gasoline is piped underground from refineries to majorusers. The flow rate is 3.00×10–2 m3 /s (about 500 gal/min), the viscosity of gasoline is 1.00×10–3 (N/m2 ) ⋅ s ,and its density is 680 kg/m3 . (a) What minimum diametermust the pipe have if the Reynolds number is to be less than2000? (b) What pressure difference must be maintainedalong each kilometer of the pipe to maintain this flow rate?
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.
Gasoline is piped underground from refineries to major
users. The flow rate is 3.00×10–2 m3 /s (about 500 gal/
min), the viscosity of gasoline is 1.00×10–3 (N/m2 ) ⋅ s ,
and its density is 680 kg/m3 . (a) What minimum diameter
must the pipe have if the Reynolds number is to be less than
2000? (b) What pressure difference must be maintained
along each kilometer of the pipe to maintain this flow rate?
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