Chapter 4, Problem 4.17P

Interpretation Introduction

Interpretation:

An expression for the outlet mass flow $\left({\dot{m}}_0\right)$ as a function of stroke $\theta \left(t\right)$ is to be determined.

Concept Introduction:

Volume $\left(V\right)$

of a tank is calculated as:

  $V=wA$ ...... (1)

Here, $w$ is the height of the tank and $A$ is the cross-sectional area of the tank.

Area of a triangle is calculated as:

  $A=\frac{1}{2}bh$ ...... (2)

Here, $b$ is the base of the triangle and $h$ is the height of the triangle.

The formula to calculate mass flow rate $\left(\dot{m}\right)$ of a fluid from its density $\left(\rho \right)$ and volumetric flow rate $\left(\dot{V}\right)$ is:

  $\dot{m}=\rho \dot{V}$ ...... (3)