Chapter 4, Problem 4.15P

Interpretation Introduction

Interpretation: The surface velocity around an inclined plane is to be determined around which a thin layer of liquid is forming.

Concept introductionSurface velocity around an inclined plane is to be determined by the use of volumetric flow rate equation. The equation for the volumetric flow rate is given as,

  $\begin{array}{l}\text{Q}\text{=}{\displaystyle \underset{\text{A}}{\int }{\text{v}}_{\text{x}}\text{dA}\mathrm{.......}\text{(1)}}\\ \end{array}$

Q is the volumetric flow rate

  ${\text{v}}_{\text{x}}$ is the velocity profile

dA is the differential area of the profile