An analysis of the momentum, energy and mass transport phanomena occurring in a cylindrical cve reactor used for the coating of fibrous substrates ill presented. The reactor is analyzed for the batch mode of operation. The reaction system leading to TiB 2 fibers is investigated in detail. Experimental results for B.C, TiC, and B fibel's are presented as well. Numerical results are reported in the range of actual experimental ccndlticne for vertical and horizontal arrangements of the reaction system. These results seIVE' not only to illustrate the complex interaction between the flow field and the different transport mechanisms but also constitute a valuable help in the development of design and scale-up crlterla,