Heat transfer in shallow vibrated beds

Thomas, B.; Mason, M.O.; Sprung, R.; Liu, Y.A.; Squires, Arthur M.

doi:10.1016/s0032-5910(98)00126-0

Cited by 21 publications

(3 citation statements)

References 7 publications

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“…In these processes, heat is generally transferred by conduction and convection between a solid surface and particles that move relative to the surface. Over the last fifty years, there has been a continued interest in the role of system parameters and in the mechanisms of heat transfer between granular media and the boundary surfaces in fluidized beds [3][4][5][6][7], dense phase chutes, hoppers and packed beds [8][9][10][11][12][13][14][15], dryers and rotary reactors and kilns [16][17][18][19][20]. More recently, experimental work on fluidized bed calciners and rotary calciners/kilns have been reported by LePage et al [21], Spurling et al [22], and Sudah.…”

Section: Introductionmentioning

confidence: 99%

Experimentally validated computations of heat transfer in granular materials in rotary calciners

2010

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Section: Introductionmentioning

confidence: 99%

Experimentally validated computations of heat transfer in granular materials in rotary calciners

2010

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“…The latter is of special interest because it can shed light on the time response of shallow beds, where the column behaves as a solid block. Adequately tuning this time response may enhance the result of bulk solids management operations like vibratory transport, − vibrated bed dryers − and vibrated bed reactors. , …”

Section: Introductionmentioning

confidence: 99%

Influence of Air on the Bouncing Dynamics of Shallow Vibrated Granular Beds: Kroll’s Model Predictions

Guerrero

Idler

Sánchez

2016

Ind. Eng. Chem. Res.

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In the present work, we explore the modification of the periodicity of the motion of shallow granular columns in the framework of Kroll's one-dimensional model for the motion of a vibrated bed. Within the model, bed dynamics depend on two parameters, the dimensionless maximum acceleration, Γ, and a dissipative parameter, α, depending on air viscosity, grain density, bed static porosity, oscillation frequency and grain diameter. We show how the bifurcation diagram for the flight time of the bed as a function of Γ changes with α. For α = 0, Kroll's prediction equals that of the inelastic bouncing ball model. When α is increased, bifurcations shift to higher Γ up to a point where not even a single bifurcation is predicted in a range of Γ where an inelastic bouncing ball displays several bifurcations. We also illustrate how the flight time reduces nonlinearly with increasing α in a monotonic way. We introduce isoperiodic maps to illustrate regions of single, double, or more periodicities in the phase space. We also show and discuss the dependence of the flight time on the parameters entering the definition of α within ranges of those parameters that have been explored in the literature. Grain diameter, grain density and vibration frequency are the most determinant.

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“…In these processes heat is generally transferred by conduction and convection between a solid surface and particles that move relative to the surface. Over the last 50 years, there has been a continued interest in the role of system parameters and in the mechanisms of heat transfer between granular media and the boundary surfaces in fluidized beds (Mickey and Fairbanks, 1955;Basakov, 1964;Zeigler and Agarwal, 1969;Khan, 2002), dense phase chutes, hoppers and packed beds (Schotte, 1960;Sullivan and Sabersky, 1975;Broughton and Kubie, 1976;Spelt et al, 1982;Patton et al, 1987;Thomas et al, 1998), dryers and rotary reactors and kilns (Lehmberg et al, 1977;Whitaker, 1977;Perry and Chilton, 1984;Lybaert, 1986;Malhotra, 1991;Boateng and Barr, 1998). In many of these studies, empirical correlations relating bed temperature to surface heat transfer coefficients for a range of operating variables have been proposed.…”

Section: Introductionmentioning

confidence: 99%