PGE 203 - Caudle - HW4 Solutions (Spring 2009)

# PGE 203 - Caudle - HW4 Solutions (Spring 2009) -...

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HW#4 Problems 1. A straight piece of pipe containing a sand (permeability = 1 darcy) is inclined at an angle of 45 degrees from the horizontal. It is part of a flow loop for a brine having a viscosity of 1 centipoise and a density such that the gravity gradient, ρ g, is 0.001 atm/cm. The sand filled pipe is 5 meters long and has an inner cross section area of 50 square centimeters. An absolute pressure gauge at the top of the pipe reads 1.4 atmospheres while a similar gauge at the bottom of the pipe reads 2.0 atmospheres. Find the volumetric flow rate through the pipe and the direction in which it flows. 2. A straight piece of pipe containing a sand (permeability = 1 darcy) is inclined at an angle of 60 degrees from the horizontal. It is part of a flow loop for a brine having a viscosity of 1 centipoise and a density such that the gravity gradient, g, is 0.001 atm/cm. The sand filled pipe is 5 meters long and has an inner cross section area of 50 square centimeters. An absolute pressure gauge at the bottom of the pipe reads 2.0 atmospheres.

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## This note was uploaded on 09/28/2009 for the course PGE 203 taught by Professor Taylor during the Fall '08 term at University of Texas at Austin.

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PGE 203 - Caudle - HW4 Solutions (Spring 2009) -...

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