The temporal subdomain method based on the Ritz-Galerkin method is investigated as a method for the solution of space-time dependent neutron dynamics equations. In the temporal subdomain finite element method, the time domain is divided into subdomains and within each subdomain the unknown coefficients of the time dependent trial functions are determined by making the residual of an appropriate functional orthogonal to the step function.
This dissertation is divided into four parts consisting of (1) an introduction to stagewise processes; (2) a summary of investigations appearing in the literature; (3) the detailed application of finite calculus to the stagewise operations of extraction, gas absorption and fractionation; and (4) an appendix containing the elements of the finite calculus and a few numerical solutions of problems presented in part (3).
This thesis is a kinetic study of the vapor phase addition of hydrogen chloride to propylene using activated alumina es a catalyst. Preliminary work on this reaction showed first, that isopropyl chloride is the only gaseous product formed at temperatures of 80°C or less when this catalyst is used. Second, the catalyst activity decreases with time possibly due to the formation of non-volatile polymerized product on the surface. The rate of decreasing catalyst activity is dependent on the temperature and on the conversion.