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. You have a choice of five disks which can withstand the following forces across them before bursting: 10.5 kN, 11.0 kN, 11.5 kN, 12.0 kN, 12.5 kN. Which of these bursting disks would you recommend, and why?
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.
You have a choice of five disks which can withstand the following forces across them before bursting: 10.5 kN, 11.0 kN, 11.5 kN, 12.0 kN, 12.5 kN. Which of these bursting disks would you recommend, and why?
![(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 att =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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f40e488-8d31-4ebf-93c2-8a5fabf31b11%2F7020390b-2932-4543-ac64-44cc0acbc714%2Fs7sf8l2g_processed.png&w=3840&q=75)
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