ef152-lec-4-4 - Module 4 Lecture 4 Conservation of Mass...

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EF 152 Spring, 2009 Lecture 4-4 1 Module 4, Lecture 4 Properties of Fluids: hydrodynamics Conservation of Mass = 1 1 1 A v ρ For an incompressible fluid (__________ is constant) Continuity Equation = 1 1 A v 2 1 m m = Mass flow rate: vA m = Volume flow rate: vA Q = EF 152 Spring, 2009 Lecture 4-4 2 Example: Circulatory System Given: The aorta has a radius of about 1.2 cm and the blood passing through it has a velocity of about 40 cm/s. A typical capillary has a radius of about 4x10 -4 cm and blood flows through capillaries at a speed of about 0.05 cm/s. Required: Estimate number of capillaries EF 152 Spring, 2009 Lecture 4-4 3 Example: Swimming Pool Given: A 5/8 inch (inside) diameter garden hose is used to fill a 20 ft diameter by 3 ft deep swimming pool. Water flows from the hose at a speed of 7.2 ft/sec. Professor Schleter forgot to completely close the drain and the leakage fills up a 5 gallon bucket every 10 minutes. Required:
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This note was uploaded on 04/07/2009 for the course EF 152 taught by Professor Ab during the Spring '08 term at University of Tennessee.

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ef152-lec-4-4 - Module 4 Lecture 4 Conservation of Mass...

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