Solution of grain cooling and drying problems by the method of characteristics in comparison with finite difference solutions

Ingram, Gordon

doi:10.1016/0021-8634(79)90065-9

Cited by 26 publications

(3 citation statements)

References 8 publications

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“…Sutherland et al (1983) demonstrate that the assumption of equilibrium accurately displays the key features of heat and mass transfer phenomena in beds of ventilated stored grains. Along with Ingram (1979), they demonstrate that the effects of dispersive phenomena may be superimposed on the results developed here. Close and Banks (1972) also report that the equilibrium model of heat and mass transfer in ventilated beds of silica gel provides reasonable agreement with experimental results.…”

Section: Mathematical Backgroundsupporting

confidence: 68%

“…Close (1983) declared that the abstract nature of the solution of the governing heat and mass conservation equations by the method of characteristics "causes difficulties in comprehension". This sentiment is echoed by Ingram (1979). When discussing an analysis of heat and mass transfer in beds of stored food grains he opined of characteristics, "it is difficult to interpret their physical significance".…”

Section: Introductionmentioning

confidence: 99%

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Heat and Mass Transfer in Hygroscopic Porous Media: Consequences of Invoking Tóth’s Sorption Isotherm

Thorpe

2023

Transp Porous Med

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The thermal performance of ventilated beds of hygroscopic porous media depends strongly on the sorption properties of the solid phase. Furthermore, the published literature shows that the predicted performance of ventilated beds of hygroscopic porous media is extremely sensitive to the form and accuracy of the sorption isotherm. This is particularly apparent under idealized conditions when thermodynamic equilibrium is deemed to exist between the solid and fluid phases. When Tóth’s isotherm is invoked in an equilibrium model used to analyse the performance of a bed of initially warm and dry silica gel ventilated with cool, humid air, it is predicted that a shock wave develops downstream of air entering the bed. In contrast, it is shown that non-equilibrium solutions result in a transfer wave, the width of which decreases as the velocity of the interstitial air decreases. The Tóth isotherm gives rise to erroneous values of the integral heat of wetting of silica gel. Previously published studies of simultaneous heat and mass transfer in beds of hygroscopic materials refer to conceptual difficulties in interpreting the results, and some published mathematical analyses are somewhat terse. A secondary aim of this work is to assuage these difficulties by detailing the analyses in Supplementary Information.

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Section: Mathematical Backgroundsupporting

confidence: 68%

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer in Hygroscopic Porous Media: Consequences of Invoking Tóth’s Sorption Isotherm

Thorpe

2023

Transp Porous Med

View full text Add to dashboard Cite

show abstract

“…The progress of the zones of heat and mass transfer during the aeration of the grain beds has been described and estimated by the method of characteristics by Ingram [10]. Drying curves obtained from the data-fitting to a number of mathematical models to investigate the effects of drying air temperature, velocity and relative humidity on the drying of apricot were evaluated by the multiple regression method by Togrul and Pehlivan [11].…”

Section: Introductionmentioning

confidence: 99%