The fluid velocity increases to maintain a constant volume flow rate, according to the continuity equation.

The fluid pressure decreases.

The exit velocity increases, as described by Torricelli's theorem.

1. Identify two points in the fluid flow. 2. Determine the cross-sectional area and velocity at each point. 3. Apply $A_1v_1 = A_2v_2$ to relate the areas and velocities. 4. Solve for the unknown variable.

1. Identify two points along a streamline. 2. Determine pressure, height, and velocity at each point. 3. Apply $P_{1}+\rho g y_{1}+\frac{1}{2} \rho v_{1}^{2}=P_{2}+\rho g y_{2}+\frac{1}{2} \rho v_{2}^{2}$. 4. Solve for the unknown variable.

1. Identify the height difference between the fluid surface and the exit point. 2. Apply $v = \sqrt{2g\Delta y}$. 3. Solve for the exit velocity, $v$.

The difference in pressure between two points in a fluid system, driving flow from high to low pressure.

A principle stating that for incompressible fluids, the mass flow rate is constant: $A_1v_1 = A_2v_2$.

The mass of fluid passing a point per unit time, given by $\dot{m} = \rho A v$.

An equation expressing conservation of energy in fluid flow: $P_{1}+\rho g y_{1}+\frac{1}{2} \rho v_{1}^{2}=P_{2}+\rho g y_{2}+\frac{1}{2} \rho v_{2}^{2}$.

A theorem stating that the exit velocity of a fluid from a hole is $v=\sqrt{2 g \Delta y}$, where $\Delta y$ is the height difference.

The volume of fluid passing a point per unit time, given by $Q = Av$.