Question

Question 4 [30 marks] You have just joined a company named Big Bob's Benzene Bifurcators, a company that designs and tests pipe fittings for benzene (CHs) distribution. The company's core business is building pipe fittings that separate a flow from one inlet pipe into two outlet pipes. As part of your training, you've been asked to investigate the following system. The piping system is horizontal, with a feed pipe 3 km long and two outlet pipes 2 km long. The pipes have an inner diameter of 10 cm and a fanning friction factor of 0.0005. The flow is isothermal at 226.85℃ The initial inlet pressure of the flow is 300 kPa at the start of the 3 km pipe section, and the outlet pressure at the end of both outlet pipes is 150 kPa. Given this information, answer the following questions. You can assume that the kinetic energy term is negligible, and that minor losses associated with the pipe fitting can be ignored. (a) What is the mass flow rate of benzene? [10 marks] (b) What is the pressure at the pipe fitting (where the pipes intersect) relative to the initial pressure as expressed in terms of a percentage? If you were instead pumping liquid water through this pipe with the same entry and exit pressure conditions, what would the relative pressure (in percentage terms) be at this same point? Are these values the same? Why or why not? [10 marks]

Answer 1

Please find attached images for detailed solution of part a & b.

20 as-; 226.85 C = 22 6.85 + 273,15-500 K RT 3 C-calculated pg />イ3 G,63 →

e Ca n 1/2 y2 (532.86)v2 マ =23-08 m/s A. = nte, ma 니 ㄐ z5.63 X o.oo7 8s Χ 23.08 ラ m mas fous rate of Benzene

ar-t (b) Tler кра Sooo γη

200 Caseェらエf benzene with the same niee and esit preeuse Cenditions s 8- the sstemee temam same and dens ida-of benzen < in bxe ce of benzene Ac to ean density and hence exǐ七 prese cere-as,u b