Answered: Working for an engineering consultancy…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Working for an engineering consultancy firm, your knowledge of fluid dynamics is required to design a new safety feature for a high-pressure air line in a factory. The air line takes the form of a cylindrical pipe of diameter 150 mm, which is designed to operate between 0.45 MPa and 0.76 MPa. At the end of the pipe a bursting disk is placed so that, if the pressure exceeds the maximum operating pressure, the air is vented to atmosphere rather than over-pressuring the chemical reaction vessel (Figures 4a and 4b). In this question, you should treat the flow as quasione-dimensional and inviscid. The air in the surrounding atmosphere is at 101 kPa and 298 K.

Due to an over-pressurisation of the air line, the disk bursts at time t = 0. At what pressure in the air line will this occur?

(a) chemical reaction vessel
pressurised air
reaction vessel
(b) bursting disk in normal operation
pressurised air
open to atmosphere
expansion waves
(x = -3.4 m to -0.4 m)
bursting disk
(x = 0.0 m)
(c) wave pattern at t= t₁, a short time after bursting at t=0
open to atmosphere
normal shock
(x = 5.2 m)
Figure 4: Operation of a bursting disk

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