(b) Oil of density 850 kg/m² and viscosity 5 x 10* Nsm² , flows along a horizontal 4m length of commercial steel pipe of diameter 19mm. The flow-rate is 2 litres/second. Applying the Poiseuille-Hagen equation, calculate the pressure drop along the pipe.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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(a) Using dimensions, show that Reynolds’ number R is a dimensionless
parameter. Given that R = rpv/n
(b)Oil of density 850 kg/m² and viscosity 5 x 10* Nsm2 , flows along a
horizontal 4m length of commercial steel pipe of diameter 19mm. The
flow-rate is 2 litres/second. Applying the Poiseuille-Hagen equation,
calculate the pressure drop along the pipe.
(c) The following equation for the drop in total pressure along a straight
length of pipe :
AP = K.
(where Q = the volume flow-rate, D= diameter, p = density)
Show that this expression is dimensionally homogeneous.
Transcribed Image Text:(a) Using dimensions, show that Reynolds’ number R is a dimensionless parameter. Given that R = rpv/n (b)Oil of density 850 kg/m² and viscosity 5 x 10* Nsm2 , flows along a horizontal 4m length of commercial steel pipe of diameter 19mm. The flow-rate is 2 litres/second. Applying the Poiseuille-Hagen equation, calculate the pressure drop along the pipe. (c) The following equation for the drop in total pressure along a straight length of pipe : AP = K. (where Q = the volume flow-rate, D= diameter, p = density) Show that this expression is dimensionally homogeneous.
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