In a single-pass countercurrent shell-and-tube heat exchanger, growth medium is to be heated from 15°C to 30°C before being pumped into a fed-batch fermenter. It is proposed to use 40 steel tubes with inner diameter 4 cm; the tubes will be arranged as staggered. The pipe wall is 6-mm thick; the thermal conductivity of the metal is 50 W m-1°C-1. Medium passes through the tubes of the exchanger; the shell-side fluid is water which enters with flow rate 6 x 104 kg h-1 and temperature 65°C. Pre-heated medium is required at a rate of 60 m3h-1. The density, viscosity and heat capacity of the medium are the same as water; the thermal conductivity of the medium is 0.54 W m-1°C-1.The maximum shell-side fluid velocity is estimated as 0.2 m s-1. a.What is the rate of heat transfer? b.Calculate individual heat-transfer coefficients for the tube- and shell-side fluids.
In a single-pass countercurrent shell-and-tube heat exchanger, growth medium is to be heated from 15°C to 30°C before being pumped into a fed-batch fermenter. It is proposed to use 40 steel tubes with inner diameter 4 cm; the tubes will be arranged as staggered. The pipe wall is 6-mm thick; the thermal conductivity of the metal is 50 W m-1°C-1. Medium passes through the tubes of the exchanger; the shell-side fluid is water which enters with flow rate 6 x 104 kg h-1 and temperature 65°C. Pre-heated medium is required at a rate of 60 m3h-1. The density, viscosity and heat capacity of the medium are the same as water; the thermal conductivity of the medium is 0.54 W m-1°C-1.The maximum shell-side fluid velocity is estimated as 0.2 m s-1. a.What is the rate of heat transfer? b.Calculate individual heat-transfer coefficients for the tube- and shell-side fluids.
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