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This paper presents a similarity solution analysis of entropy generation due   to heat transfer and fluid flow which has been carried out for laminar free   convection from a constant temperature vertical plate in an infinite   quiescent fluid. The governing partial differential equations are transformed   into a set of ordinary differential equations using similarity variables. So   an analytical expression, in terms of entropy generation, entropy generation   number, Bejan number and irreversibility distribution ratio are derived using   velocity and temperature similarity (exact) solution. The rate of entropy   generation is investigated and discussed in details. The results presented by   the similarity solution are compared with integral method results. The   similarity solution presents more appropriate and correct distribution of   entropy generation in boundary layer because more accuracy than integral   method. It shows true position of maximum entropy generation and value of it.   Also, the result shows that the exact solution minimizes the rate of total   entropy generation in the boundary layer compared to integral solution. By   introducing group parameter (GP number) which is the ratio of friction   entropy to thermal entropy generation, one can recognize that one of the   thermal entropy and friction entropy generation is dominated in the boundary   layer

Entropy generation analysis of free convection from a constant temperature vertical plate using similarity solution