lecture 1-3 flow in pipes.pdf - 1 AM 1411a Fall 2014 Lectures 1 and 3 September 5 and 10 Ex Tra¢ c ‡ow(equally well it could be ‡ow of water in a

# lecture 1-3 flow in pipes.pdf - 1 AM 1411a Fall 2014...

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1 AM 1411a, Fall 2014 Lectures 1 and 3, September 5 and 10 Ex. Tra¢ c °ow (equally well, it could be °ow of water in a pipe network)

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The numbers on Figure are rates of °ow: cars/minute (or litres/minutes for °ow of water in pipes). There are four unknown ±currents²: i 1 ; i 2 ; i 3 and i 4 . We can set directions of these currents, for example, from A to B, from C to D, from C to A, and from D to B. How do we know in which direction a current °ows? We just set directions arbitrarily. If at the end we get a negative answer for a current, it means that the actual direction is opposite from what we have guessed. The junction rule: i in = i out : (1) This rule represents conservation of mass: the amount of water °owing into a junction equals the amount of water °owing out (or ±conservation of cars²: the number of cars that enter an intersection equals the number of cars that leave it).
Homework : Apply the junction rule for intersections A, B, C, and D for setting a system of four equations. Solve this system

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• Fall '19
• SEPTA Regional Rail, Jaguar Racing, I4, junction rule, ow of water

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