A solid flow model for blast furnace based on hypo-plasticity theory

Zaïmi, S. A.; Guillot, J.-B.; Biausser, Hervé

doi:10.1179/030192303225009687

Cited by 6 publications

(8 citation statements)

References 16 publications

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“…As for the mechanical load conditions, many kinds of model have been developed for the elucidation of granular assembly dynamics such as discrete element model 8,9) and plasticity model. 10,11) With the help of these models, the mechanical loading conditions inside actual blast furnace can be evaluated. On the other hand, as regards the compressive strength of cokes, it is not easy to measure its actual value directly because measured values will show serious fluctuation due to the heterogeneity of coke matrix.…”

Section: (39)mentioning

confidence: 99%

Development of a Size Degradation Model of Coke Particles at the Drum Test and inside the Blast Furnace.

Yamaoka¹,

Suyama²,

Nakano³

2003

ISIJ International

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Experimental as well as theoretical studies were made on the basis of the breakage contact model to elucidate the breakage mechanism of cokes in the drum tests and the following equation to express the size distribution of cokes after breakage was obtained.Here in the equation, R(Dp, t) is the size distribution function at time t in the cumulative oversize of Dp. The key w means the specific work rate cokes suffer from the breakage system. Dp s is the size of sample and Dp max is the maximum size to breakage fragments. The key (E/M) means the specific energy loaded per unit mass of breakage fragment and is named apparent fines generation energy. The key g is the size distribution index to characterize the size distribution profile of the breakage fragments. These two parameters dominate the breakage phenomena and their values are given as functions of the mechanical properties of sample coke and the mechanical load conditions of the concerned breakage system. The equation was confirmed useful to predict the breakage phenomena throughout the experiments with using three kinds of drum machine.

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Section: (39)mentioning

confidence: 99%

Development of a Size Degradation Model of Coke Particles at the Drum Test and inside the Blast Furnace.

Yamaoka¹,

Suyama²,

Nakano³

2003

ISIJ International

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“…This method was applied to the stress analysis during packing and after ignition of blow-in operation of Kokura #2 BF, 12) and successfully reproduced actually measured variation of stress distribution in the furnace. Zaïmi et al [13][14][15] used hypo-plasticity as stress-strain relationship and succeeded to calculate deadman shape and stress distribution in a small cold model of blast furnace.…”

Section: Introductionmentioning

confidence: 99%

An Application of Bingham Model to Viscous Fluid Modeling of Solid Flow in Moving Bed

Nogami

Yagi

2004

ISIJ International

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Solid flow plays important roles in a moving bed reactor, for example, it determines the path and the residence time of the solid reactants as well as the stress distribution. The continuum models are useful for the kinetic based process analysis since their simplicity and computation load, although the discrete element approach is capable of estimating not only the particle motion but also the stress distribution in the bed. One of the continuum approaches is viscous fluid model. It is able to estimate solid flow pattern although it needs to appropriately determine the shape of stagnant region and viscosity before the simulation. In this study the Bingham model, which is the simplest shear rate-shear stress model of plastic fluid, is applied to the viscous fluid model of bulk solid flow within packed bed. This model successfully reproduce solid flow pattern in packed bed without setting stagnant zone, and the rheological properties can be obtained from simple preliminary experiments. Therefore, the viscous fluid model with the Bingham model is considered as a useful solid flow model for process analysis of moving bed reactors.

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“…Inada et al 68) analyzed the stress distribution in an actual blast furnace using elasto-plasticity theory to reproduce the measured vertical stress variation during burden charging. Zaïmi et al 71,72) used the hypo-plasticity theory to describe solid flow behaviour, in which incremental equations for the stress and strain tensor increments are developed. In Fig.…”

Section: Continuum Modelmentioning

confidence: 99%

“…The solid phase may be treated as a plastic fluid so that elasto-plasticity 68) and hypo-plasticity 71,72) theories can be employed to describe the stress-strain relation of solid particles. Inada et al 68) analyzed the stress distribution in an actual blast furnace using elasto-plasticity theory to reproduce the measured vertical stress variation during burden charging.…”

Section: Continuum Modelmentioning

confidence: 99%

Modelling of Multiphase Flow in a Blast Furnace: Recent Developments and Future Work

et al. 2007

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An ironmaking blast furnace is a complex multiphase flow reactor involving gas, powder, liquid and solid phases. Understanding the flow behaviour of these phases is of paramount importance to the control and optimization of the process. Mathematical modelling, often coupled with physical modelling, plays an important role in this development. Yagi 1) gave a comprehensive review of the early studies in this area in 1993. Significant progress has since been made, partially driven by the needs in research but mainly as a result of the rapid development of computer and computational technologies. This paper reviews these developments, covering the formulation, validation and application of mathematical models for gas-solid, gas-liquid, gas-powder and multiphase flows. The need for further developments is also discussed.KEY WORDS: ironmaking; blast furnace; multiphase flow; two fluid model; discrete element method. Review development. Mathematical ModellingGenerally speaking, the existing approaches to modelling the multiphase flow in a BF can be classified into two categories: continuum approach at a macroscopic level and discrete approach at a microscopic level. In the continuum approach, phases are generally considered as fully interpenetrating continuum media and described by separate conservation equations with appropriate constitutive relations and interaction terms representing the coupling between phases. The general governing equations are based on the so-called two fluid model (TFM), originally developed for gas-particle flow, [29][30][31] given by:Conservation The so-called Model A and Model B result from the treatment of the fluid pressure. For example, for gas-solid flow, Model A assumes the pressure is shared between the two phases, while in Model B, the pressure is attributed to gas phase only. 31) Model A formulation has been widely used in multiphase modelling, especially in process metallurgy. Model B formulation was recently used in the so called combined continuum and discrete method for coupled flow of continuum fluid and discrete particles. 32) The continuum approach is suitable for process modelling and applied research because of its computational convenience and efficiency. Indeed, most of the BF modelling is based on this approach. However, its effective use heavily depends on constitutive or closure relations and the momentum exchange between phases. For Newtonian fluids (gas and liquid here), these relations can be readily determined. For non-Newtonian fluids such as solids and powder, general theories are not yet available. In the past, various theories have been devised for different flow regimes (three flow regimes have been identified: quasi-static regime, rapid flow regime and a transitional regime that lies inbetween). For example, models have been proposed to derive the constitutive equations for the rate-independent deformation of granular materials based on either the plasticity theory or the double shearing theory; the rapid flow of granular materials has been described by extend...

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A solid flow model for blast furnace based on hypo-plasticity theory

Cited by 6 publications

References 16 publications

Development of a Size Degradation Model of Coke Particles at the Drum Test and inside the Blast Furnace.

Development of a Size Degradation Model of Coke Particles at the Drum Test and inside the Blast Furnace.

An Application of Bingham Model to Viscous Fluid Modeling of Solid Flow in Moving Bed

Modelling of Multiphase Flow in a Blast Furnace: Recent Developments and Future Work

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