Educator

Fluids in Motion

• Fluid flow is said to be ideal if ….
• Fluid flow in a pipe obeys the equation of continuity. If at one place along the pipe the cross-sectional area is A and the fluid velocity is v, while at another location the cross-sectional area is A’ and the fluid velocity is v’, then it follows that Av = A’v’. This equation guarantees that fluid will not be accumulated in or depleted from any region.
• Bernoulli’s equation is really the principle of conservation of energy applied to fluid motion. It states that if some fluid is flowing through a pipe, then the quantity given by P + (density)gh + (1/2)(density)(velocity squared) has the same value at any location in the pipe. Here P is the pressure and h is the height of the pipe at the location of interest.
• To solve problems involving fluids in motion, it is usually the case that both the equation of continuity and Bernoulli’s equation are used.