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### 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.
II. Thermodynamics

### Fluids in Motion

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Ideal Fluid Flow 0:15
• Fluid is Incompressable (Density is Uniform)
• Fluid Flow is Non-Viscous
• Honey
• Water
• Fluid Flow (Rotational)
• Equation of Continuity 9:05
• Fluid Flowing in a Pipe
• Fluid Entering Pipe
• Fluid Leaving Pipe
• Garden Hose 21:20
• Filling a Bucket
• Speed of Water
• Bernoulli's Equation 28:45
• Pipe Varying with Height and Cross Section
• Net Work Done
• Venturi Tube 43:31
• Finding V1, V2 with Two Unknowns
• Equation of Continutity
• Extra Example 1: Water in a Pipe
• Extra Example 2: Water Tank with Hole