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TECHNICAL PAPERS

Detection of Partial Blockages in a Branched Piping System by the Frequency Response Method

[+] Author and Article Information
Pranab K. Mohapatra

Department of Civil Engineering, Indian Institute of Technology Kanpur, India, 208016pranab@iitk.ac.in

M. Hanif Chaudhry

Department of Civil and Env. Engineering, University of South Carolina, 300 South Main Street, Columbia, SC 29208Chaudhry@sc.edu

Ahmed Kassem

Department of Civil and Env. Engineering, University of South Carolina, 300 South Main Street, Columbia, SC 29208kassem@engr.sc.edu

Jamaluddin Moloo

Department of Internal Medicine, University of South Carolina, Columbia, SC 29208moloo@gw.mp.sc.edu

J. Fluids Eng 128(5), 1106-1114 (Jan 15, 2006) (9 pages) doi:10.1115/1.2238880 History: Received July 21, 2003; Revised January 15, 2006

Steady oscillatory flow in a branched piping system with partial blockages is studied by using the frequency response method. The peak pressure frequency diagrams at the downstream end are developed with the partial blockage at different locations in the system by using the transfer matrix method. A systematic procedure is presented to estimate the size and the location of a single partial blockage in the system. For more than one partial blockage, it is observed that there is a definite relationship between the frequency responses of the individual and combined partial blockages.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Definition sketch fro branched piping system with partial blockages; (b) pressure frequency diagram and peak pressure frequency diagram at the valve

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Figure 2

Peak pressure frequency diagram for partial blockage B1(z=0.55) upstream of branching junction

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Figure 3

Peak pressure frequency diagram for partial blockage B2(z=0.55) downstream of branching junction

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Figure 4

Effect of blockage size on peak pressure frequency response

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Figure 5

Peak pressure frequency diagram for partial blockage B3(z=0.55) in the branch

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Figure 6

Peak discharge frequency diagram for partial blockages I the main and branch pipes

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Figure 7

Peak pressure frequency diagram for partial blockages in main line on both sides branching junction

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Figure 8

Frequency response of B1 from frequency responses of B2 and combination of B1 and B2

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Figure 9

Peak pressure frequency diagram for partial blockages in branch and main line upstream of branching junction

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Figure 10

Peak pressure frequency diagram for partial blockages in branch and main line downstream of branching junction

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Figure 11

Peak pressure frequency diagram for three partial blockages

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Figure 12

Effect of branching junction and branch length on peak pressure frequency diagram

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Figure 13

Peak pressure frequency diagram with and without pipe friction

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