Fluid originally flows through a tube at a rate of 110 cm3 /s. To illustrate the sensitivity of flow rate to various factors, calculate the new flow rate for the following changes with all other factors remaining the same as in the original conditions.Px = 2.5ηx = 3.2rx = 0.14lx = 4.6Q = 110 cm3/sPart (b) Calculate the new flow rate if a new fluid with 3.2 times greater viscosity is substituted in cm3/s. Part (c) Calculate the new flow rate if the tube is replaced by one having 4.6 times the length. Part (d) Calculate the new flow rate if another tube is used with a radius 0.14 times the original. Part (e) Calculate the new flow rate if yet another tube is substituted with a radius 0.14 times the original and half the length, and the pressure difference is increased by a factor of 2.5.

Given as, Px = 2.5ηx = 3.2rx = 0.14lx = 4.6Q = 110 cm3/s As per protocol, allowed to answer first…

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w flow rate if the tube is replaced by one having 4.6 times the length. Part (d) Calculate the new flow rate if anot

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Question

Fluid originally flows through a tube at a rate of 110 cm³ /s. To illustrate the sensitivity of flow rate to various factors, calculate the new flow rate for the following changes with all other factors remaining the same as in the original conditions.

P_x = 2.5
η_x = 3.2
r_x = 0.14
l_x = 4.6
Q = 110 cm³/s

Part (b) Calculate the new flow rate if a new fluid with 3.2 times greater viscosity is substituted in cm³/s.
Part (c) Calculate the new flow rate if the tube is replaced by one having 4.6 times the length.
Part (d) Calculate the new flow rate if another tube is used with a radius 0.14 times the original.
Part (e) Calculate the new flow rate if yet another tube is substituted with a radius 0.14 times the original and half the length, and the pressure difference is increased by a factor of 2.5.

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