Problem#5 Water and air flow upwards in a conical-shaped vertical pipe. The pipe diameter increases from 1-cm ID at the bottom of the pipe to 10-cm ID at the top. The height of the pipe is 20 m. The water-flow rate is q, 2 x 10-4 m³ /s, and the air-flow rate is q6 = 5 × 10¬* m³ /s. The densities of the water and air are 1000 and %D 1.2 kg/m respectively. Using the Homogeneous No-Slip Model, determine the local frictional, gravitational, and accelerational pressure-gradient components and the local total pressure gradient at (assume a constant friction factor, f = 0.005 and constant liquid and gas densities): a. The entrance (bottom) of the pipe. b. The exit (top) of the pipe. c. Explain how you would calculate the pressure drop in the entire pipe.

Problem#5 Water and air flow upwards in a conical-shaped vertical pipe. The pipe diameter increases from 1-cm ID at the bottom of the pipe to 10-cm ID at the top. The height of the pipe is 20 m. The water-flow rate is q, 2 x 10-4 m³ /s, and the air-flow rate is q6 = 5 × 10¬* m³ /s. The densities of the water and air are 1000 and %D 1.2 kg/m respectively. Using the Homogeneous No-Slip Model, determine the local frictional, gravitational, and accelerational pressure-gradient components and the local total pressure gradient at (assume a constant friction factor, f = 0.005 and constant liquid and gas densities): a. The entrance (bottom) of the pipe. b. The exit (top) of the pipe. c. Explain how you would calculate the pressure drop in the entire pipe.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?

Question

Problem#5 Water and air flow upwards in a conical-shaped vertical pipe. The pipe
diameter increases from 1-cm ID at the bottom of the pipe to 10-cm ID at the top. The
height of the pipe is 20 m. The water-flow rate is q,
2 x 10-4 m³ /s, and the air-flow
rate is q6 = 5 × 10¬* m³ /s. The densities of the water and air are 1000 and
%D
1.2 kg/m respectively. Using the Homogeneous No-Slip Model, determine the local
frictional, gravitational, and accelerational pressure-gradient components and the
local total pressure gradient at (assume a constant friction factor, f = 0.005 and
constant liquid and gas densities):
a. The entrance (bottom) of the pipe.
b. The exit (top) of the pipe.
c. Explain how you would calculate the pressure drop in the entire pipe.

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