Chapter 8, Problem 8.5P

Interpretation Introduction

Interpretation: The expression for the velocity distribution for a Newtonian fluid in a fully developed laminar flow is to be derived.

Concept introduction:

The velocity distribution is calculated by applying the momentum balance equation.

The momentum balance equation in $x$ direction is,

  ${\displaystyle \sum F_x}={\displaystyle \underset{c.s}{\iint }\rho v_x}\left(v\cdot n\right)dA+\frac{\partial }{\partial t}{\displaystyle \underset{c.v}{\iiint }\rho v_{x}dV}$