Suggested Response - Q6

   ** a) Using the temperature profile below, explain and calculate the following:

Q6

i)    ∆T in q = mCpΔT of the hot fluid

ii)   ∆TLM in q = UA∆TLM

iii)  Approach temperature

b)   Given the calculated value of the approach temperature, what type of heat exchanger would you say this is?

c)   What is the flow configuration of this heat exchanger?

Response:

a)

i) In q=mCp ΔT, ΔT is the change in temperature of one of the fluids. In this case, this would be a decrease in temperature of the hot fluid across the length of the heat exchanger. The temperature difference is negative as the temperature has declined.

capital delta T space equals space 45 space minus space 85 space equals space minus 40 degree C

ii) In q = UA∆TLM, ∆T is the difference in temperature between the hot and cold fluids in the exchanger. It is called the temperature driving force. However, in a heat exchanger, this value is not consistent across the heat exchanger. It is thus estimated using the log mean temperature difference (LMTD).

capital delta T subscript L M end subscript space equals space fraction numerator increment T subscript 2 space end subscript minus space increment T subscript 1 over denominator ln space begin display style fraction numerator increment T subscript 2 over denominator increment T subscript 1 end fraction end style end fraction

Where increment T subscript 1 space equals space 85 space minus space 10 space equals space 75 degree C

And increment T subscript 2 space equals space 45 space minus space 43 space equals space 2 degree C

capital delta T subscript L M end subscript space equals space fraction numerator 2 space minus space 75 over denominator ln space begin display style 2 over 75 end style end fraction space equals space 20.14 degree C

iii) The approach temperature is when the temperature of the product fluid leaving the exchanger approaches that of the utility fluid.

Approach temperature = 45 – 43 = 2°C

b)   Based on an approach temperature of 2°C, this is a plate heat exchanger.

Plate heat exchangers typically have approach temperatures of between 1°C and 3°C. Shell and tube heat exchangers have approach temperatures of above 5°C.

c)   Based on the temperature profile provided, the flow configuration for this exchanger is co-current.

You have completed 0% of the lesson
0%