The overall heat-transfer rate (Uoverall) achieved in a heat exchanger depends upon the overall resistance to heat transfer, which is its reciprocal (1/Uoverall). This, for a unit with a wall between two streams, is the sum of five factors:
1/Uoverall = 1/houtside + foulout + resistancewall + 1/hinside + foulin (1)
where 1/h is the film resistance for each surface, and the other factors are the resistance of the wall or tube, and the fouling resistance at each surface. Figure 1 shows these factors for a tube in a shell-and-tube heat exchanger. Many users have some sense of the fouling factor likely for most of their heat exchangers.
Of course, some services prompt more fouling than others. For example, a heat exchanger using steam usually has very little fouling on the steam condensing side. In contrast, the process side of a heat exchanger often may foul very heavily. In heat integration services with the process on both sides of the exchanger, fouling may occur on both sides at the same time. Experience also shows that apparently minor changes in exchanger configuration or process conditions can dramatically shift fouling rates from those generally expected for that service.
Direct measurement of fouling resistance is extremely difficult and expensive; it’s rarely done even in research facilities. So, most fouling resistances come from calculations based on exchanger performance. Such calculations give overall fouling but don’t break down each side’s contribution. Experience may allow allocating how much fouling belongs to each side of the exchanger. Often, though, only an overall fouling resistance is stated.
Understanding fouling is important because our calculated fouling levels provide information for exchanger cleaning and maintenance decisions, attempts to mitigate fouling (e.g., additives and operating changes), and purchasing decisions. However, what really is our calculated fouling factor?
Simplifying Eq. 1 by taking the wall resistance as zero and combining the inside and outside fouling, we get:
Fouling = 1/Uoverall - 1/houtside - 1/hinside (2)