A mathematical model for heat transfer in grain store microclimates

Antic, Alexsandar; Hill, James M.

doi:10.21914/anziamj.v42i0.592

Cited by 5 publications

(10 citation statements)

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“…On comparing the two-stage model with the previously proposed doublediffusivity model of the authors [1], we find that models predict that there exists a difference in the air and grain temperatures of the grain bulk. We observe that the predictions of the air and grain temperatures of the twostage model lag behind those of the double-diffusivity heat transfer model, but this lag decreases as time increases.…”

Section: Discussionmentioning

confidence: 79%

“…Antic and Hill [1] developed a double-diffusivity heat transfer model for predicting temperatures in grain stores, and in particular, within the peripheral layer. The double-diffusivity heat transfer model in its most general form is:…”

Section: Two-stage Model Versus Double-diffusivity Modelmentioning

confidence: 99%

“…We now compare the numerical results obtained for the double-diffusivity heat transfer model [1], with the numerical results of the two-stage heat transfer model. The volume-averaged grain temperature is used.…”

Section: Two-stage Model Versus Double-diffusivity Modelmentioning

confidence: 99%

“…In Section 4.2 some results are presented by using the Stehfest [15] algorithm to obtain the inversions numerically. In Section 5 the present two-stage model is compared to a previously developed double-diffusivity heat transfer model by Antic and Hill [1].…”

Section: Introductionmentioning

confidence: 99%

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A two-stage heat transfer model for the peripheral layers of a grain store

Antic

Hill

2003

Journal of Applied Mathematics and Decision Sciences

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Abstract. An understanding of the flow of heat in grain store structures, in particular, within the peripheral layer, is important from many industrial perspectives. To analyse the heat transfer within such regions a mathematical model known as the two-stage heat transfer model is proposed. This model makes a distinction between the air and grain within the grain bulk, and thus takes into consideration the fact that the rate of heat transfer through the grain is different to that through the interstitial air surrounding the grain. Such a model lends itself to a solution via Laplace transforms and approximate analytical results are obtained for small and large times. In addition, the Stehfest numerical algorithm is used for the inversions and very good agreement is obtained between the two approaches. The present model is compared to a previously developed double-diffusivity heat transfer model by the authors, and good agreement is obtained. At present, no experimental data is available to validate the model as it is very difficult to measure the air and grain temperatures separately, particularly in the peripheral layer. The proposed model provides insight into the potential difference existing between the air and grain temperatures.

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Section: Discussionmentioning

confidence: 79%

Section: Two-stage Model Versus Double-diffusivity Modelmentioning

confidence: 99%

Section: Two-stage Model Versus Double-diffusivity Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A two-stage heat transfer model for the peripheral layers of a grain store

Antic

Hill

2003

Journal of Applied Mathematics and Decision Sciences

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“…The rate of heat transfer through the grain bulk is different from that through the interstitial air surrounding the grain (Antic and Hill 2000). Air paths inside grain bulks are important criteria in estimating the time required for excess moisture to be removed during drying (Brooker 1961).…”

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confidence: 99%

Analysis of Pore Network in Three-dimensional (3D) Grain Bulks Using X-ray CT Images

Neethirajan

Jayas

2007

Transp Porous Med

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The knowledge of distribution of pore space inside grain bulks is essential for determining the airflow resistance of grains. In this study, the internal pore structure and the 3D-distribution of air paths inside grain bulks were studied using X-ray computed tomography images. Image analysis methods were applied to the binary 3D X-ray CT images on the spatial distribution of voids to generate the connected, individualized pore objects of different size and shapes. Morphometric parameters, such as 3D air path volume distribution, structure separation factor, Euler number, fragmentation index, and structure model index were calculated based on hexahedral marching cubes volume model and marching cubes 3D surface construction algorithm. The quantified numerical measures of spatial integrity of air path networks were analyzed and compared with the airflow resistance of grain bulks. The results showed that the connectivity of airspace and the nonuniform distribution of air-path network inside grain bulks were responsible for the difference in airflow resistance between horizontal and vertical directions to the airflow of grain bulks.

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A Two-Stage Heat Transfer Model for the Peripheral Layers of a Grain Store

Antic

Hill

2003

J. of Appl. Math & Decision Sc.

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A mathematical model for heat transfer in grain store microclimates

Cited by 5 publications

References 0 publications

A two-stage heat transfer model for the peripheral layers of a grain store

A two-stage heat transfer model for the peripheral layers of a grain store

Analysis of Pore Network in Three-dimensional (3D) Grain Bulks Using X-ray CT Images

A Two-Stage Heat Transfer Model for the Peripheral Layers of a Grain Store

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