An analysis of the backflow cell model of a distillation plate with linear interphase mass transfer is given. The steady state character is discussed in terms of liquid phase concentration profiles and plate efficiencies. The dynamics due to liquid and vapor phase concentration perturbations are derived for continuous time and discrete times based upon two point time difference methods of numerical solution. The moments of the discrete impulse response are related to those for continuous time. Stability and convergence are discussed. For the liquid on a valve plate, the backflow cell model outlet response due to a measured inlet response is compared to the monitored outlet response resulting from upstream salt tracer injection.
This report was prepared as an accoun t of Government sponsored work. Neither the United Sta tes, nor the Commission, nor a ny person act ing on beha lf of the Commission : A. Makes any warranty or representation , express or implied, with respect to the accuracy, comp leteness, or use fulness of thP infnrrn:\tion c ontajn~.., J iu lids repor t , or that the use of any 10formation, apparatus, method , or process disclosed in this report may not infringe privately owned r ights; or B. Assumes any lia bi lities with respect to the use of, o r for d a mages res ul ting from the use of any information, apparatus, method , or process disclosed in this report. As used in the above, " person acting on behalf of the Commission" includes any employee or contractor of the Commissio n , o r employee of such contractor, to the extent that such employee or contrac tor of the Commission , or employee of such contractor prepares, disseminates, or provirlPo; access to, a ny information pu rsua nt to h is employment or contract with the Commission , or hjs employment wi th such contractor.
Tht report was Brrrpued . I . .a ucaunt of Owcmment s -work. Ndtkr t b United -~t h e~,~~y -~~m h W d t b e D & o n :A. MrLa any wurrnty or rrprc~cntation, express or impEd, with respect ta the .enurcy, ~ompletenem, or d u l n e u of the information contained in thb report, or that the use d m y inf-tioe, apparatus, method, or pmecu dirdortd in this nport may eat iafrhga privately owned r u t s ; or I B. Armmea m y IlbiIitiw witb respect to the urt of, or for damages mdting from the I W d m y id-tien, q p a~t u s , d, or adirelaed in tht report. Aa wed in in a h , "pema acting on b e W d the CommLdoa" indudu any employee a amtractor of tbe Comminion, or empldya of such oontmctw, to the extent &st such cmploysc or contractor d the Commiubn, or employee of s u b mhactor prapwr, diwminatda, a provides actxu to, m y informution punuu~t to Bir empbgmrClt a contract with the CommtJolr, or his caploprent with Nth contrac&r.Mathematical models are proposed for predicting the steady-state and transient temperature distributions in small-and large-diameter, cylindrical, nuclear heat sources and the surrounding soil. Computer programs a r e used to solve the two-dimensional, time-dependent heat-transfer equations resulting from the models. The thermal conductivity, specific heat, and moisture content were experimentally determined for soils at an experimental test site. These properties were required for calculating the temperatures in and surrounding a buried electrical heater. Agreement between calculated and measured temperatures was good, generally within a few degrees. The quantitative effects of soil and heat source thermal conductivity, time-dependent heat generation rate, heat source dimensions, and burial depth on the calculated temperature distributions in and surrounding buried heat sources a r e illustrated by numerical examples.iii SUMMARY As part of a study of lower cost methods of radioactive waste management, a program was initiated to determine the effect of various factors on heat transfer from waste containers and simulated fuel elements buried directly in soil. This program included: (a) formulation of mathematical models for predicting steady (simulating long-term cooled wastes) and transient (appropriate for short-term cooled waste) temperature distributions, (b) development of computer programs for solving the resulting equations, (c) simulation of a buried fuel element using an electrical heater, (d) evaluation of the physical properties which affect heat transfer in soil, and (e) verification of the mathematical model by comparing the calculated and experimental temperatures.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.