Chapter 3, Problem 3.10P

(a)

Interpretation Introduction

Interpretation:

The apparent viscosity of $4$ percent suspension of paper pulp in the water at the shear rate of $10s^{-1}\text{and}\text{1000}{s}^{-1}$ is to be calculated.

Concept Introduction :

The shear stress of Non-Newtonian fluids is calculated by the Ostwalt-de Waele equation.

The Ostwalt-de Waele equation is given as,

  ${\tau }_v=K^{\text{'}}{\left(\frac{du}{dy}\right)}^{n^{\text{'}}}$

The apparent viscosity of non-newtonian liquid at a given shear rate is the value indicated by the viscometer operating on the liquid at that shear rate. It is the viscosity that would be indicated by the viscometer if the liquid were Newtonian.

For the Newtonian liquids, the apparent viscosity is calculated by the following formula:

  ${\mu }_{app}=\frac{{\tau }_v}{\left(\frac{du}{dy}\right)}$

(b)

Interpretation Introduction

Interpretation:

The apparent viscosity of 25 percent suspension of paper pulp in the water at the shear rate of $10s^{-1}\text{and}\text{1000}{s}^{-1}$ is to be calculated.

Concept Introduction :

The shear stress of Non-Newtonian fluids is calculated by the Ostwalt-de Waele equation.

The Ostwalt-de Waele equation is given as,

  ${\tau }_v=K^{\text{'}}{\left(\frac{du}{dy}\right)}^{n^{\text{'}}}$

The apparent viscosity of non-newtonian liquid at a given shear rate is the value indicated by the viscometer operating on the liquid at that shear rate. It is the viscosity that would be indicated by the viscometer if the liquid were Newtonian.

For the Newtonian liquids, the apparent viscosity is calculated by the following formula:

  ${\mu }_{app}=\frac{{\tau }_v}{\left(\frac{du}{dy}\right)}$