Question

Fluid originally flows through atube at a rate of 200 cm3/s. Toillustrate the sensitivity of the Poiseuille flow rate to variousfactors, calculate the new flowrate for the following changes with all other factors remaining the same as in the original conditions: A new fluid with 6.00 times greater viscosity is substituted. Poiseuille flow is given by:

Answer 1

`Q_(2)=1200cm^(3)/s`

Step-by-step explanation:

Given data

Q₁=200cm³/s

We know that:

`F=n(vA)/(l)\\`

can be written as:

ΔP=F/A=n×v/L

And

Q=ΔP/R

As

n₂=6.0n₁

So

Q=ΔP/R

`Q=(nv)/(lR)\\ (Q_(2))/(n_(2))= (Q_(1))/(n_(1))\\ Q_(2)=(Q_(1))/(n_(1))*(n_(2))\\Q_(2)=(200)/(n_(1))*6.0n_(1)\\ Q_(2)=1200cm^(3)/s`