Homework_C4

# Homework_C4 - Due Date: next Monday, 09-19-05 Problem #1: A...

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Due Date: next Monday, 09-19-05 Problem #1 : A differential manometer is used to measure the pressure difference two points in a pipe of varying cross-sectional area. If the manometric height is h, determine the velocity at point 1 (V1) and 2 (V2). Assume frictionless, steady, constant density flow. Problem # 2: Starting with the Navier-stokes equation, obtain the velocity profile which describes the incompressible flow between two parallel vertical plates. One plate is at rest, while the other is moving upwards at a constant velocity u s . The distance between the two plates is l . u s l y x Problem #3: A cylindrical rod of diameter κ R moves axially with velocity u z = u 0 along the axis of a cylindrical cavity of radius R as seen in the figure. The pressure at both ends of the cavity is the same, so that the fluid moves through the annular region solely because of the rod motion.

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1. State assumptions and find the velocity distribution in the narrow annular region,
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## This note was uploaded on 09/01/2011 for the course PGE 312 taught by Professor Peters during the Fall '08 term at University of Texas at Austin.

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Homework_C4 - Due Date: next Monday, 09-19-05 Problem #1: A...

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