Recovery factor laminar flow

In order to find the Reynolds number, the surface temperature must be known. However, in order to find the wall temperature, the recovery factor must be known and its value is different in laminar and turbulent flow. Therefore, an assumption as to the nature of the flow, i.e., laminar or turbulent, will be made. The wall temperature and then the gas properties will be found and then the Reynolds number, i.e. ... 

We must consider the laminar and turbulent portions of the boundary layer separately because the recovery factors, and hence the adiabatic wall temperatures, used to establish the heat flow will be different for each flow regime. It turns out that the difference is rather small in this problem, but we shall follow a procedure which would be used if the difference were appreciable, so that the general method of solution may be indicated. The free-stream acoustic velocity is calculated from... 

The eigentemperature follows from (3.357) with the recovery factor according to (3.358) in the region of laminar flow with the estimated value Pr ss 0.7 ... 

The scaleup of polymerization processes is conceptually identical to the scaleup of ordinary chemical reactions. The principal difference is that polymer systems are more likely to be highly viscous and in laminar flow. Although polymer melts can be markedly non-Newtonian, this is rarely a critical factor in the scaleup of polymer reaction and recovery systems. Vinyl polymerizations have strong exotherms so that parametric sensitivity and thermal runaways can be a problem, but so do many other chemical reactions. Condensation polymerizations tend to be equilibrium-limited, but so do many other chemical reactions. 

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