The document is a lab report from a group of students at the University of California San Diego that analyzes heat transfer in a plate heat exchanger. It includes results from experiments conducted in both steady-state and batch operations. The results showed that in steady-state operations, the overall heat transfer coefficient increased with increasing mass flow rates, while in batch operations the overall heat transfer coefficient decreased as the temperature difference decreased over time.
8. overall heat transfer (or rate) equation in heat exchangers is given by the energy balance across
the separating wall:
(1)C (T ) C (T ) AΔTQ = m c c h
out
− T c
in
= m h h h
in
− T c
out
= U LMTD
Q= Rate of heat transfer (duty), U= Overall heat transfer Coefficient, A= crosssectionalhere,w
Area for heat transfer, = Log Mean Temperature DifferenceTΔ LMTD
The Log Mean Temperature Difference (LMTD) is used to determine the temperature
driving force for heat transfer in flow systems. LMTD is constant along the length, and used
most notably with heat exchangers.
(2)
, are the bulk temperatures, or thehere, △T T )w 1 = ( h
out
− T c
in
T T )△ 2 = ( h
in
− T c
out
temperature difference for countercurrent as demonstrated in Figure 2.
The overall heat transfer coefficient is determined for steady state and batch operations.
Heat losses or gains of a whole exchanger with the environment can be neglected. The steady
state operation equation to analyze the performance of the heat exchanger is
(3)C dT dx AΔTm c / = U LMTD
Overall Heat Transfer Coefficient can be estimated for different fluids as well as the type
of heat exchanger system involved (PHE). Where the heat transfer coefficient, U, for water to
water heat exchangers, can be a typical transfer coefficient of about 2000 ².W m K][ / 2
8