One-dimensional numerical solution of the diffusion equation to describe wood drying: comparison with two- and three-dimensional solutions

Silva, Wilton Pereria da; Silva, Cleide Maria D. P. S. e; Rodrígues, Andrea Fernandes; Figueirêdo, Rossana Maria Feitosa de

doi:10.1007/s10086-015-1479-6

Cited by 6 publications

(2 citation statements)

References 16 publications

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“…An exponential correlation, proposed by Da Silva et al (2015), was evaluated. In this expression, the unknown parameters a and b were estimated by fitting the numerical solution to the experimental data through the optimisation procedure outlined in Da .…”

Section: Effective Moisture Diffusivity Of Onionmentioning

confidence: 99%

Optimisation of onion bulb curing using a heat and mass transfer model

Zewdie

Delele

Fanta

et al. 2022

Biosystems Engineering

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Section: Effective Moisture Diffusivity Of Onionmentioning

confidence: 99%

Optimisation of onion bulb curing using a heat and mass transfer model

Zewdie

Delele

Fanta

et al. 2022

Biosystems Engineering

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“…The specialisation to problems with axial symmetry can be used to study: the process of energy extraction from soils and rocks by borehole heat exchangers or energy piles [24]; artificial ground freezing by a single freeze pipe [3,25,26]; and heat transfer in insulated wires and buried tunnels and pipes [27,28]. Since heat transfer in a substance and mass transport in porous media are described by similar mathematical expressions, the proposed formulation can be applied to study: the process of water flow in soils around a single water well or drainage in open pits and tunnels [29]; and the process of wood drying [30]. A prospective application of the model can be found in the description of oil or natural gas wells with and without hydraulic fracturing of rock formation [31].…”

Section: Introductionmentioning

confidence: 99%

Non-Local Formulation of Heat Transfer with Phase Change in Domains with Spherical and Axial Symmetries

Nikolaev

Jivkov²,

Margetts³

et al. 2023

J Peridyn Nonlocal Model

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Describing heat transfer in domains with strong non-linearities and discontinuities, e.g. propagating fronts between different phases, or growing cracks, is a challenge for classical approaches, where conservation laws are formulated as partial differential equations subsequently solved by discretisation methods such as the finite element method (FEM). An alternative approach for such problems is based on the non-local formulation; a prominent example is peridynamics (PD). Its numerical implementation however demands substantial computational resources for problems of practical interest. In many engineering situations, the problems of interest may be considered with either axial or spherical symmetry. Specialising the non-local description to such situations would decrease the number of PD particles by several orders of magnitude with proportional decrease of the computational time, allowing for analyses of larger domains or with higher resolution as required. This work addresses the need for specialisation by developing bond-based peridynamic formulations for physical problems with axial and spherical symmetries. The development is focused on the problem of heat transfer with phase change. The accuracy of the new non-local description is verified by comparing the computational results for several test problems with analytical solutions where available, or with numerical solutions by the finite element method.

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