Different Forms of the Correction Factor Used to Describe Simultaneous Heat and Mass Transfer

Š. Gužela and F. Dzianik

Abstract
In the literature, different calculation relationships are often presented to describe the same process taking place in the given equipment. This article presents the different forms of the correction factor (Ackermann correction factor) used in describing the processes in which heat and mass transfer occur simultaneously. The form of the equations determining the value of the Ackermann correction factor basically depends on the choice of the orientation of the coordinate system. The article presents the derivation of two forms of equations, on the basis of which the value of this factor is usually determined. Finally, the article also contains the equations that describe the simultaneous transfer of heat and mass. These are used in the design of various types of equipment that are part of the various industrial technologies (e.g., in agricultural, chemical, and food industries). From the point of view of these equations, the article mainly emphasizes that, if it is necessary to work with several equations describing the same process, care should be taken to ensure that these equations are compatible with each other. In this case, compatibility means that there is no need to use a sign correction when substituting the result from one equation into another.

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Keywords
correction factor, Ackermann correction factor, interfacial area, simultaneous heat and mass transfer, corrected form of the Newton’s cooling law