Chapter 5.5, Problem 1P

To determine

The steady flow condition for a flow through control volume.

Explanation of Solution

The fluid flow in which the properties of the fluid remains unchanged with respect to change in time is the steady flow. The properties of the fluid which remains unchanged for steady flow are mass flow rate, velocity, pressure, vorticity, and temperature.

Write the general expression for a steady flow process from mass balance.

${\displaystyle \sum _{\text{in}}\dot{m}}={\displaystyle \sum _{\text{out}}\dot{m}}$

Here, total mass flow rate of fluid entering into the control volume is ${\displaystyle \sum _{\text{in}}\dot{m}}$ and total mass flow rate of fluid leaving out from control volume is ${\displaystyle \sum _{\text{out}}\dot{m}}$.