i) ii) State the assumptions used to arrive at the above equation. Explain why the "log-mean" 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.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

I need help on this question: (These questions require the use of Roger and Mayhew Steam Tables) 

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 fluid 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) (is in the picture provided)

For the case outlined in a) above, the heat-transfer rate, Q, between the two fluids is
given by
Q = U₂Ą, ATLM
where U, is the overall heat-transfer coefficient for the heat exchanger, based on the
outside surface area of the inner tube, A, is the outside surface area of the inner
tube and ATM is the relevant temperature difference given by
ATLM =
(T₂ - T₁)
T₁
In
-T₂²
where subscript v refers to the condensing vapour and subscripts 1 and 2 refer to the
inlet and outlet temperatures respectively of the coolant.
i) State the assumptions used to arrive at the above equation.
ii)
Explain why the "log-mean" 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:For the case outlined in a) above, the heat-transfer rate, Q, between the two fluids is given by Q = U₂Ą, ATLM where U, is the overall heat-transfer coefficient for the heat exchanger, based on the outside surface area of the inner tube, A, is the outside surface area of the inner tube and ATM is the relevant temperature difference given by ATLM = (T₂ - T₁) T₁ In -T₂² where subscript v refers to the condensing vapour and subscripts 1 and 2 refer to the inlet and outlet temperatures respectively of the coolant. i) State the assumptions used to arrive at the above equation. ii) Explain why the "log-mean" temperature difference above is a more appropriate temperature different for heat exchangers than, say, the simple arithmetic mean of inlet and outlet temperature difference.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Heat Exchangers
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY