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BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI

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118 Petru Cârlescu et al<br />

indicate overheating or unheating areas and can layer a uniform temperature. By<br />

knowing the temperature profile in the layer of barley can optimize the air flow<br />

and temperature in the bed.<br />

Many mathematical models have been developed to simulate the heat and<br />

the moisture transfer in aerated bulk stored grains. The models were obtained at<br />

relatively low temperatures and low humidity to grain.<br />

The partial differential equation models for wheat storage with aeration<br />

were developed by (Metzger, 1983) and (Wilson, 1988).<br />

The models simulated forced convective heat and moisture transfer in<br />

vertical direction, but the model was not validated. (Chang et al., 1993, 1994)<br />

and (Sinicio et al., 1997) developed a rigorous model to predict the temperature<br />

and moisture content of wheat during storage with aeration, and found that<br />

prediction result is in reasonable agreement with observed data. (Sun&Wood,<br />

1997), (Jia et al., 2001), (Andrade, 2001) and (Devilla, 2002) simulated the<br />

temperature changes in a wheat storage bin respectively, and however, the<br />

moisture changes were not done. (Iguaz et al., 2004) developed a model for the<br />

storage of rough rice during periods with aeration.<br />

Two models of the phenomenon of mass and heat transfer in a bed of<br />

grains was developed and analyzed (Thorpe, 2007). In a subsequent paper<br />

(Thorpe, 2008) is calculated on CFD models to a software that simulates heat<br />

and moisture transfer in the bad grain. Based model and simulation of (Thorpe,<br />

2008), (Wang et al., 2010) developed and validated by experimental<br />

measurements of temperature transducers introduction the theoretical model at<br />

different points in a grain silo. The models proposed by the authors cited were<br />

introduced and air temperature of product less than 30 ° C, and two-dimensional<br />

simulations were preformed. This paper proposes the modeling and simulations<br />

in FLUENT software in the 3D heat transfer in the malt bed temperatures of up<br />

to 95 ° C.<br />

2. Mathematical Modeling of the Physical Phenomenon of Drying<br />

2.1. Transfer Equation<br />

The physical drying phenomenon that occurs in the grain bed obeys the law<br />

of conservation. However, to solve such a diversity of problems the equations<br />

that govern heat and mass transfer are expressed in very general terms and they<br />

do not model heat and mass transfer in the malt bulks during malt drying per se.<br />

As a result they have to be tailored to suit malt drying applications. To date,<br />

making the modifications to the standard CFD software appears to have been a<br />

stumbling block for most grain-dry technologists. This physical phenomenon is<br />

d escribed mathematically by a partial differential equation of general form<br />

∂<br />

( ρ φ )<br />

a<br />

∂t<br />

( ρ v ) ( )<br />

+∇ φ =∇ Γ∇ φ + Sφ<br />

, (1)<br />

a

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