The continuity equation is based on the principle of conservation of:

Conservation of mass in fluid flow means:

In a steady fluid flow through a pipe, the mass entering per second is:

The continuity equation represents:

If fluid accumulates inside a pipe, the flow is:

The mass flow rate of a fluid is given by:

The SI unit of mass flow rate is:

In the equation $\mathbf{\rho}_{\mathbf{1\ }}\mathbf{A}_{\mathbf{1\ }}\mathbf{v}_{\mathbf{1}}\mathbf{=}\mathbf{\rho}_{\mathbf{2\ }}\mathbf{A}_{\mathbf{2\ }}\mathbf{v}_{\mathbf{2\ }}$, the quantity conserved is:

If the density of fluid increases while area and velocity remain constant, mass flow rate:

A fluid with greater density flowing at the same speed carries:

The general continuity equation is:

The equation $\mathbf{A}_{\mathbf{1\ }}\mathbf{v}_{\mathbf{1}}\mathbf{=}\mathbf{A}_{\mathbf{2\ }}\mathbf{v}_{\mathbf{2}}$ is obtained from continuity equation when:

The continuity equation can be derived by considering:

In a pipe, if no fluid is added or removed, then:

The continuity equation fails if:

For an incompressible fluid, density:

For incompressible flow, continuity equation becomes:

Water flowing through a pipe is usually treated as:

If the cross-sectional area decreases in an incompressible fluid, velocity increases because:

The continuity equation connects:

Water of density $\mathbf{1000\ kg\ /\ }\mathbf{m}^{\mathbf{3}}$ flows through an area of $\mathbf{2\ }\mathbf{m}^{\mathbf{2}}$ with velocity $\mathbf{3\ m/s}$. Mass flow rate is:

A pipe has area $\mathbf{4}\mathbf{\ m}^{\mathbf{2}}$ and velocity $\mathbf{2\ m/s}$. It narrows to $\mathbf{2}\mathbf{\ m}^{\mathbf{2}}$. The new velocity is:

A fluid enters a pipe at mass flow rate $\mathbf{500\ kg/s}$. In steady flow, it leaves at:

If density doubles while area and velocity remain the same, mass flow rate:

A liquid flows from a wider pipe to a narrower pipe. The continuity equation predicts:

Why does fluid not pile up inside a pipe during steady flow?

The continuity equation is important because it allows us to determine:

If a pipe diameter decreases, the mass flow rate:

A leaking pipe violates continuity equation because:

The continuity equation assumes:

In a steady flow system, if $\mathbf{\rho}_{\mathbf{1\ }}\mathbf{A}_{\mathbf{1\ }}\mathbf{v}_{\mathbf{1}}\mathbf{\ }\mathbf{> \ }\mathbf{\rho}_{\mathbf{2\ }}\mathbf{A}_{\mathbf{2\ }}\mathbf{v}_{\mathbf{2}}$ then:

The continuity equation is a direct consequence of:

In a pipe with changing diameter, which quantity remains constant?

The expression $\mathbf{\rho Av\ }$represents:

Continuity equation cannot be applied directly if:

The fundamental idea behind continuity equation is: