Numerous separation processes and reactor designs with internal or external refluxes at both ends have been developed, such as loop reactors [1] and [2], air-lift reactors [3] and [4] and draft-tube bubble columns [5] and [6], which are broadly used in absorption, fermentation, and polymerization. The recycle ratio and the barrier position were considered in designing heat and mass transfer processes with internal and external refluxes at both ends. The fully developed velocity distribution is assumed and the conjugated Graetz problem is analyzed for uniform wall temperature for this purpose, and numerical solutions and experimental results were carried out in the previous work [7]. An analytical solution is obtained for this type of problem by using orthogonal expansion techniques [8], [9], [10], [11], [12], [13], [14], [15] and [16], such formulae represent a markedly contribution to the design and analysis of conjugated Graetz problems. It is the purpose of this work to develop the complete theory with orthogonal expansion techniques and investigate the improvement of heat or mass transfer in a double-pass parallel-plate device with external recycle at the ends of conduit.
Relation:
International Journal of Heat and Mass Transfer 43(3), pp.487-491
