A gasoline surge drum has capacity 4 m 3 (1060 gal) and is normally operated 50% full

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A gasoline surge drum has capacity 4 m3 (1060 gal) and is normally operated 50% full at 40°C (100°F) under 20 bar absolute pressure (280 psig) of hydrogen in the head space and using a level controlled outflow as shown in Figure 9.10a. Gasoline of specific gravity 0.7 is pumped into the surge drum at a normal flow rate of 130 m3/hr. Assuming the aspect ratio of the vessel (ratio length/diameter) is 3.0 and the heat of vaporization of gasoline is 180 BTU/lb, evaluate the relief loads for the blocked outflow and external fire cases and hence determine the relief valve size. (In practice, gasoline contains many components that boil over a wide range of temperatures at the design pressure and a more complex calculation is needed than is given here).


(a) FIC XD F LIC (b) (PIC) (LIC


Blocked outlet case


W = 1.1Pm Mwv W 1000RT 1.1 X 130 20 x 105 3600 0.9 1000 x 8.314 x 313 x 2 = 67.8 g/s (9.16)


External fire case

If the vessel has a hemispherical head, then:


volume= a(DL+ so D = 1.12 m D 6 117 D 12 wetted area = (DL+D)/2=2nD = 7.82 m = 84.2 ft

Assume Fe = 1


Wf 21000 FeAw  0.82 = 21000  1  84.2082 180 4423 1b/hr =0.56kg/s (9.17)

So, the external fire case has the higher relieving load and governs the design.
If the vent line discharges to a flare system at atmospheric pressure, then:


Poutlet 1 P 20 < < < 0.52


so, flow in the nozzle is critical.
For hydrogen:

2 520 2.41 356.9 C 520 1.41 (2.41/0.41))


Assume the valve will lift when the temperature reaches 60°C (333K), Z = 1.02 for hydrogen:

Ad - 13,160 w TZ CKa P1 Kb Ke VMw 13160 x 0.56  3600 356.9 0.9752000  1.0  1.0 V =496.8 mm or 0.77 in 333

From API Std. 526 we would select a “H” orifice relief valve with effective orifice area 0.785 in2. A size 2H3 carbon steel relief valve will allow a set pressure up to 740 psig in the expected range of operation temperature. In practice, however, we would have to consider two-phase flow due to entrainment of boiling liquid with the vapour and might select a larger orifice size after more detailed design.

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Chemical Engineering Design

ISBN: 9780081025994

6th Edition

Authors: Ray Sinnott, R.K. Sinnott, Sinnott Gavin Towler

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