Webster University Operations And Supply Chain Management Assignment Help - chemical and pharmaceutical

Question - Batch processes are often used in chemical and pharmaceutical operations to achieve a desired
chemical composition for the final product. Related heat transfer processes are typically transient,
involving a liquid of fixed volume that may be heated from room temperature to a desired process
temperature, or cooled from the process temperature to room temperature. Consider a batch process
for which a pharmaceutical (the cold fluid, c) is poured into an insulated, highly agitated vessel (a
stirred reactor) and heated by passing a hot fluid (h) through a submerged heat exchanger coil of thin-
walled tubing and surface area As. The flow rate, mh, mean inlet temperature, Th,i, and specific heat.
cp,K of the hot fluid are known, as are the i ...Read More nitial temperature, Tc,i < th,i="" the="" volume="" vc,=""
mass="" density,="" pc'="" and="" specific="" heat,="" cvc="" of="" the="" pharmaceutical.="" heat=""
transfer="" from="" the="" hot="" fluid="" to="" the="" pharmaceutical="" is="" governed="" by="" an=""
over-all="" heat="" transfer="" coefficient="">




(a) Starting from basic principles, derive expressions that can be used to determine the variation of T,
and Th.o with time during the heating process.
(b) Consider a pharmaceutical of volume Vc = 1m3, density Pc = 1100 kg/m3, specific heat cv.c =
2000 J/kg · K, and an initial temperature of Tc,i = 25°C. A coiled tube of length L = 40 m, diameter D =
50 mm, and coil diameter C = 500 mm is submerged in the vessel and hot fluid enters the tubing at
Th.; = 200°C and mh = 2.4 kg/so the convection coefficient at the outer surface of the tubing may be
approximated as ho = 1000 W/m2 · K. and the fluid properties are cp,h = 2500 J/kg · K, µh = 0.002 N
· s/m2, kh = 0.260 W/m · K, and Prh = 20. For the foregoing conditions compute and plot the
pharmaceutical temperature T( and the outlet temperature Tm,o as a function of time over the range 0
< t="">< 3600="" s.="" how="" long="" does="" it="" take="" to="" reach="" a="" batch=""
temperature="" of="" tc="160°C?" the="" process="" operator="" may="" control="" the="" heating=""
time="" by="" varying="" mh.="" for="" 1="">< mh="">< 5="" kg/s,="" explore="" the="" effect="" of=""
the="" flow="" rate="" on="" the="" time="" t="" c="" required="" to="" reach="" a="" value="" of=""
tc=""> ...Read Less

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