Chapter 5, Problem 5.16P

(a)

Interpretation Introduction

Interpretation:

The time required to decrease the liquid height in the tank from $\text{10}\text{m}\text{to}\text{5}\text{m}$ is to be calculated.

Concept Introduction :

The time required to decrease the level of the solution in the tank is calculated by applying the unsteady-state mass balance over the tank.

The unsteady −state mass balance equation is,

  $\rho A_1{V}_1-\rho A_2{V}_2=\rho \frac{d\left(V\right)}{dt}$

The equation of the pressure drop in terms of velocity is,

  $\Delta P_s=\frac{32\mu \overline{V}L}{D^2}$

The equation of the pressure drop in terms of height is,

  $\Delta P_s=\rho gh$

(b)

Interpretation Introduction

Interpretation:

The flow consistency index of the solution is to be calculated.

Concept Introduction :

The formula for calculating the flow consistency index is,

  $\Delta P_s=2K^{\text{'}}{\left(\frac{3n+1}{n}\right)}^n\frac{{\overline{V}}^{n}L}{r_w^{n+1}}$