T by the Grashof number Gr

In contrast to p(T), the relevance of p(T) is considered in the engineering literature exclusively by the number (3AT The ratio p/p0 is used in heterogeneous material systems (solids/liquid or solids/gas) in which the density differences Ap are occurring independently of the temperature differences. 

Due to the fact that density differences can only have an effect when associated with acceleration due to gravity, both (3AT and p/p0 are consistently combined with the Galileo number Ga = Re2/Fr = g l3/v2. Therefore, in the heat transfer under natural convection the 

Examples of the application of the Grashof number in heat transfer problems can be found, for example, in [14]. For examples where the Archimedes number is applied in solid/liquid systems (suspensions) see [22] and for sedimentation as well as fluidization examples please refer to textbooks dealing with unit operations in chemical process engineering. 

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