Starting with a heat balance, show that the effectiveness for a counterflow arrangement is
GIVEN
Counterflow heat exchanger
FIND
Show that the effectiveness is
ASSUMPTIONS
Heat loss to surroundings in negligible
SKETCH
A heat balance on an element of the heat exchanger yields
Rearranging
Therefore
Integrating from a to b
But, from
From which
Therefore
Substituting these into the energy balance
Solving for effectiveness
Multiplying the numerator and denominator by
yields the following result
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Fill in the blank(s) with correct word
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a. True b. False Indicate whether the statement is true or false
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The work done by static friction can be:
a. positive. b. negative. c. zero. d. Any of the above.