The tubular reactor with laminar flow regime: An integral equation approach - II - (Heat sources and non-linear boundary conditions)

This contribution focuses on the heat transfer aspects associated with seve ral applications in laminar flow systems which may display heat sources cou pled with non-linear boundary conditions. The methodology originally introd uced by Arce et al. (1988), and based on integral-spectral methods (Arce an d Locke, 1994) is used to yield a unified and very general solution for the various cases. Also, the limiting cases of no heat sources and constant te mperature at the wall and constant heat flux at the wall are recovered to v alidate the technique. In addition, the case of non-uniform inlet temperatu re distributions is considered as a special case of the general methodology . The analysis is mainly focussed on cases that can not be derived from mas s transfer situations (Arce et at, 1996) and are relevant to processes with heat transfer. Several plots illustrate the different physical problems di scussed in the contribution. Some interesting dosed sums for Fourier series are derived in a relatively straight forward manner. These are important i n reducing computational time and in attenuating the effect of the Gibbs ph enomena for certain cases.