LIN a) In a concentric-pipe heat exchanger, one of the fluids is a condensing vapour and the other is the coolant. Sketch the variation in fluld temperatures of two fluids as they flow through the heat exchanger. Indicate clearly the Inlet and outlet of the coolant and its direction of flow. b) For the case outlined in a) above, the heat-transfer rate, Q, between the two fluids is given by Q =U.AATL where U, Is the overall heat-transfer coefficient for the heat exchanger, based on the outside surface area of the inner tubo, A is the outside surface area of the inner tube and AT Is the relevant temperature difference given by ATLM = (T₂-T₁) Tv-T₁₁ (Tv-72 In G where subscript v refers to the condensing vapour and subscripts 1 and 2 refer to the Inlet and outlet temperatures respectively of the coolant. 1) State the assumptions used to arrive at the above equation. H) ii) Explain why the "log-moan" temperature difference above is a more appropriate temperature different for heat exchangers than, say, the simple arithmetic mean of inlet and outlet temperature difference.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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a)
In a concentric-pipe heat exchanger, one of the fluids is a condensing vapour and the
other is the coolant. Sketch the variation in fluld temperatures of two fluids as they
flow through the heat exchanger. Indicate clearly the Inlet and outlet of the coolant
and its direction of flow.
b) For the case outlined in a) above, the heat-transfer rate, Q, between the two fluids is
given by
Q =U. Ą ATLI
where U, Is the overall heat-transfer coefficient for the heat exchanger, based on the
outside surface area of the inner tubo, A, Is the outside surface area of the inner
tube and AT Is the relevant temperaturo difference given by
ATLM =
(T₂-T₁)
Tv-T₁
In
where subscript v refers to the condensing vapour and subscripts 1 and 2 refer to the
Inlet and outlet temperatures respectively of the coolant.
1) State the assumptions used to arrive at the above equation.
Explain why the "log-moan" temperature difference above is a more appropriate
temperature different for heat exchangers than, say, the simple arithmetic mean
of inlet and outlet temperature difference.
Transcribed Image Text:a) In a concentric-pipe heat exchanger, one of the fluids is a condensing vapour and the other is the coolant. Sketch the variation in fluld temperatures of two fluids as they flow through the heat exchanger. Indicate clearly the Inlet and outlet of the coolant and its direction of flow. b) For the case outlined in a) above, the heat-transfer rate, Q, between the two fluids is given by Q =U. Ą ATLI where U, Is the overall heat-transfer coefficient for the heat exchanger, based on the outside surface area of the inner tubo, A, Is the outside surface area of the inner tube and AT Is the relevant temperaturo difference given by ATLM = (T₂-T₁) Tv-T₁ In where subscript v refers to the condensing vapour and subscripts 1 and 2 refer to the Inlet and outlet temperatures respectively of the coolant. 1) State the assumptions used to arrive at the above equation. Explain why the "log-moan" temperature difference above is a more appropriate temperature different for heat exchangers than, say, the simple arithmetic mean of inlet and outlet temperature difference.
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