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Example – Convection – Problem with Solution

The development of this program is funded by the National Science Foundation under grants and Any opinions, findings, and conclusions or recommendations expressed in the materials associated with this program are those of the author s and do not necessarily reflect the views of the National Science Foundation. Transfer is primarily convective, and we usually assume that all of the resistance can be "lumped" into a "film" adjoining the wall: The heat then transfers by conduction through the wall: and then through another film layer on the outside of the wall to the surrounding fluid.

4 Basic problems in convection

Since is is a "no accumulation, no generation" case, the heat flow must be constant and continuous through each of the layers. If the resistance form is used, a single equation can be developed.

Convective Heat and Mass Transfer, 3rd Edition

To do this, recall from previous studies in transport phenomena, electric circuits, etc. If the intermediate temperatures are needed, the rate can be plugged back into the equations for the individual layers. The method of combining resistances suggests an "overall" approach might be useful. This produces the idea of an overall heat transfer coefficient Each overall heat transfer coefficient is determined for a specific mean area and temperature difference.

For the layer problem being discussed, the overall coefficient is given by The overall coefficient U can be defined in terms of the inside or the outside wall area. Both values work the same, but the numbers for U i and U o will be different.