[[Fluids]]

# Summary
* Pressure difference between fluids causes flow.
* $A_1v_1=A_2v_2$ expresses conservation of mass. Narrow area force faster speeds to incompressible fluids.
* Bernoulli's equation: $P_1+pgy_1+\frac{1}{2}pv_1^2=P_1+pgy_2+\frac{1}{2}pv_2^2$ expresses conservation of energy along a streamline.
* Faster fluid has lower pressure and vice versa
* Torricelli's theorem: $v=\sqrt{2g\Delta y}$ is derived from energy conservation and gives exit speed of draining fluid.
* Assume fluids are ideal unless stated otherwise.