19. Fluid Mechanics

Fluid Flow & Continuity Equation

Understanding Continuity Equation

Home Repair. You need to extend a 2.50-inch-diameter pipe, but you have only a 1.00-inch-diameter pipe on hand. You make a fitting to connect these pipes end to end. If the water is flowing at 6.00 cm/s in the wide pipe, how fast will it be flowing through the narrow one?

Continuity / Proportional Reasoning

A shower head has 20 circular openings, each with radius 1.0 mm. The shower head is connected to a pipe with radius 0.80 cm. If the speed of water in the pipe is 3.0 m/s, what is its speed as it exits the shower-head openings?

A soft drink (mostly water) flows in a pipe at a beverage plant with a mass flow rate that would fill 220 0.355-L cans per minute. At point 2 in the pipe, the gauge pressure is 152 kPa and the cross-sectional area is 8.00 cm^2. At point 1, 1.35 m above point 2, the cross-sectional area is 2.00 cm^2. Find the (b) volume flow rate. (c) flow speeds at points 1 and 2.

Flow & Continuity Equation

A blood vessel has a radius of <math display=“inline”><mrow><mn>5</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">mm</mi></mrow><mo>.</mo></mrow></math> This blood vessel divides into two, each having a radius of <math display=“inline”><mrow><mn>4</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">mm</mi></mrow></mrow></math>. If the speed of the blood just before the split is <math display=“inline”><mrow><mn>0</mn><mo>.</mo><mn>31</mn><mtext></mtext><mtext>&#x00A0;m/s</mtext></mrow></math>, what is the speed of blood just after the split?

How Stuff Flows: Continuity Equation Explained for Beginners - Physics + Fluid Mechanics Made Easy

Continuity Equation

Water is flowing in a pipe with a varying cross-sectional area, and at all points the water completely fills the pipe. At point 1 the cross-sectional area of the pipe is 0.070 m^2, and the magnitude of the fluid velocity is 3.50 m/s. (c) Calculate the volume of water discharged from the open end of the pipe in 1.00 hour.

Fluid Flow Rate and the Continuity Equation

Fluids - Lecture 2.1 - Continuity and Bernoulli's Equation

Anderson Video - Continuity Equation- Moving Fluids and Traffic

Two hoses have been connected together. The first hose has a diameter of 4 cm, and the second has a diameter of <math display=“inline”><mrow><mn>2</mn><mo>.</mo><mrow><mn>5</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow><mo>.</mo></mrow></math> If the water exits the narrower hose at a speed of <math display=“inline”><mrow><mn>3</mn><mo>.</mo><mn>4</mn><mtext></mtext><mtext>&#x00A0;m/s</mtext></mrow></math>, how quickly is the water moving inside the wider hose?

Continuity Equation, Volume Flow Rate & Mass Flow Rate Physics Problems

Continuity Equation   Moving fluids and traffic

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