A- Given that the volumetric flow rate for a fluid within a circular cross-section tube can be represented by Q= ΠΡΑΔΡ 8μL where r is the tube radius, µ is the fluid viscosity, P is the pressure drop across the tube, and L is the tube length, calculate the pressure drop across a tube of length 1 m and diameter of 23 mm. The fluid is blood (μ = 0.0035 N.s/m²) and has a volumetric flow rate of 4.5 L/min. Assuming the same conditions, what would the required pressure drop be for water (u= 0.001 N.s/m²) and

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Chapter14: Fluid Mechanics
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Problem 88P: (a) Using Bernoulli's equation, show that be measured fluid speed v for a pitot tube, like the one...
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A- Given that the volumetric flow rate for a fluid within a circular cross-section tube can be
represented by
Q=
πΡΑ ΔΡ
8μL
where r is the tube radius, µ is the fluid viscosity, P is the pressure drop across the tube, and L is
the tube length, calculate the pressure drop across a tube of length 1 m and diameter of 23 mm.
The fluid is blood (μ = 0.0035 N.s/m²) and has a volumetric flow rate of 4.5 L/min. Assuming
the same conditions, what would the required pressure drop be for water (μ = 0.001 N.s/m²) and
chocolate syrup (μ = 150 N.s/m²).
Transcribed Image Text:A- Given that the volumetric flow rate for a fluid within a circular cross-section tube can be represented by Q= πΡΑ ΔΡ 8μL where r is the tube radius, µ is the fluid viscosity, P is the pressure drop across the tube, and L is the tube length, calculate the pressure drop across a tube of length 1 m and diameter of 23 mm. The fluid is blood (μ = 0.0035 N.s/m²) and has a volumetric flow rate of 4.5 L/min. Assuming the same conditions, what would the required pressure drop be for water (μ = 0.001 N.s/m²) and chocolate syrup (μ = 150 N.s/m²).
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