β Scribed by A.E. Saez; B.J. McCoy
No coin nor oath required. For personal study only.
A model, including longitudinal thermal dispersion and intraparticle conduction, is developed to describe the transient response of a packed column ~ith a time-varying inlet temperature. The model can be applied to a diabatic column with uniform and constant ambient temperature, or to a perfectly insulated system. The expression for the temperature response within the column as a function of time and axial position is obtained by expanding the solution to an impulse of heat at the inlet in terms of either tlermite or Laguerre polynomials. The response to an arbitrary inlet temperature transient, found via a convolution integral, is expressed as a single quadrature. The response to a step input is an algebraic expression. NOMENCLATURE
π SIMILAR VOLUMES
Al~traet--The present paper is concerned with studying the effects of storage medium propert/es on the thermal behaviour of packed beds during charging. A transient onc-dimomionai two-pha~ model is used to describe the temperature fields in the air and solid media constituting the bed. The numerical
A non-Archimedean mathematical model for simulating the transient characteristics of heat transfer in a packed bed thermal storage system is presented. The use of Hermite polynomials is proposed for the analysis of systems which exhibit many scales of heat transfer. The obtained solution is an expan