Answer:The continuity equation for a compressible liquid is a mathematical expression that relates the changes in fluid density, velocity, and volume to the changes in time. This equation can be written as:
∂ρ/∂t + (ρv)•∇ = 0
where:
ρ = fluid density
v = fluid velocity
∂/∂t = partial derivative with respect to time
∇ = del operator
The continuity equation expresses the principle of mass conservation, stating that the rate of change of fluid density in a fixed volume must be equal to the rate of flow of fluid into or out of that volume. This equation is commonly used in fluid dynamics to study the behavior of liquids and gases in various applications, such as in pipelines, pumps, valves, and compressors.
Step-by-step explanation: