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The thesis work entitled Investigation of Gas – Solid Circular Fluidized Beds in Two Scale Using Experimental and Numerical Techniques by Premkumar K, Student, Department of Chemical Engineering, Indian Institute of Technology Guwahati, Guwahati, India, for the award of Ph.D. in philosophy was completed under my supervision and this work was not submitted elsewhere for a degree.

Figure Title  Page
Figure Title Page

ABSTRACT

Introduction

  • Introduction
  • Circulating fluidized bed
  • Solid-catalyzed gas-phase reactions Fluid catalytic cracking
    • Hydrodynamics of circulating fluidized bed
    • Scale up of circulating fluidizing bed
    • Motivation
    • Objectives
    • Structure of the thesis

This is mainly due to a lack of understanding of scale effects in the circulating eddy layer. Eds.), Circulating Fluidized Bed Technology In: Proceedings of the Fifth International Conference on Circulating Fluidized Beds.

Figure 1.1 Flow patterns in gas solids fluidized beds (adapted from Grace (1997))  Further  increase  in  gas  velocity,  bed  porosity  increases  and  excess  gas  starts  to  form  bubbles  which  significantly  reduces  the  gas-solids  contacting
Figure 1.1 Flow patterns in gas solids fluidized beds (adapted from Grace (1997)) Further increase in gas velocity, bed porosity increases and excess gas starts to form bubbles which significantly reduces the gas-solids contacting

Radioactive Particle Tracking (RPT) and Benchmarking for High Velocity Conditions

Introduction

To obtain the directional speed, one of the beam frequencies is shifted, thus creating the motion of the edge in the predetermined direction. In the case of solid phase tracking, the size, shape and density of the tracer particles must be the same as the solids present in the system.

Figure 2.1 Five fiber optical probe (adapted from Zhu et al. (2001))
Figure 2.1 Five fiber optical probe (adapted from Zhu et al. (2001))

Radioactive particle tracking technique

  • Methodology
  • Calibration
  • Reconstruction algorithm
  • Optimal design of RPT experiments

D is the mass attenuation coefficient of the detector crystal material is the penetration depth of photons in the detector crystal. Penetration depth of the photon into the crystal depends on the point of entry and exit. The path of the tracer particle is reconstructed using counts recorded by the scintillation detectors.

Equation 2.1 is then used to generate an estimated count for each position of the tracer particle relative to the detector.

Table 2.1 Quantities calculated from RPT experimental data (Roy et al., 2005;
Table 2.1 Quantities calculated from RPT experimental data (Roy et al., 2005;

Implementation of RPT technique for high velocity system

  • Experimental setup
  • Resolution and sensitivity
  • Conclusions

However, the effect of data acquisition frequency on the ability of RPT measurement to locate the stationary position of the tracer particle has not been investigated. The results show that the standard deviation of the error in displacement increases with a decrease in data acquisition frequency. Furthermore, it is observed that the error in particle position reconstruction increases with the increase in tracer particle velocity for the same frequency.

However, it decreases with increasing data acquisition frequency for the same tracer particle velocity.

Figure 2.12 Representaion of dynamic bias C=f(x1,y1,z1,T)
Figure 2.12 Representaion of dynamic bias C=f(x1,y1,z1,T)

Summary

Experimental investigation of local solids Fluid dynamics in various industrial circulating fluidized beds with optical probes (Doctoral dissertation). A comparative study of hydrodynamics in a bubble column using computer-automated radioactive particle tracking (CARPT)/computed tomography (CT) and particle image velocimetry (PIV). Investigation of fluid hydrodynamics in bubble columns using computer-automated radioactive particle tracking (CARPT) (D.Sc. Dissertation).

Investigating the hydrodynamics of binary fluidizing beds via radioactive particle tracking and dual-source densitometry.

Introduction

However, for multiphase systems where two different phases must interact with each other, quantification based on global mixing does not provide the necessary information to fully characterize the flow. For complete characterization of the flow beyond time-averaged velocity and distribution of phases, local phase fraction and velocity distribution are needed. It is still difficult to map the entire flow field in gas-solid circulating fluidized beds to capture all the interactions that occur at different length and time scales.

Furthermore, it is still difficult to map the flow field at different scales with the same accuracy to match the phenomena occurring at the different scales.

Literature on velocity studies in CFB

In the flow of the core annulus structure, solids flow upwards into the core and downwards near the wall. This type of CFB is commonly referred to as a high-density circulating fluidized bed (Issangya et al., 1997). Very steep profiles are usually the hallmarks of dense suspension upflow, where there is also a high density of solids in the system (Wang et al., 2014).

For example, both parabolic and power profiles are reported for dilute flow conditions (Wei et al., 1998; Pantzali et al., 2013).

Table 3.1 Literature review of experimental work on solid velocities in CFB  Reference  Measurement
Table 3.1 Literature review of experimental work on solid velocities in CFB Reference Measurement

Experimental setup

A reciprocating compressor is used to supply drive air, which is supplied through a secondary intake. The experiments were carried out with glass beads with a mean particle size of 500 µm and a density of 2500 kg/m3.

Figure 3.1 Photograph of laboratory scale experimental setup
Figure 3.1 Photograph of laboratory scale experimental setup

Solid flux measurement

  • Velocity and volume fraction measurement methods

So if the velocity vs and the volume fraction  of solids are known, solid flux can be obtained. Therefore, solid flux can be measured by measuring solid volume fraction and solid velocity individually. Solid flux can be changed either by changing the solids inventory in the system or by changing the superficial gas velocity.

Thus, for continuous solid flux monitoring during RPT measurements, the circulation number method is used.

Figure 3.3 Photograph showing the detector position for RTD measurements (Lead  sheets are removed for the sake of clarity)
Figure 3.3 Photograph showing the detector position for RTD measurements (Lead sheets are removed for the sake of clarity)

Radioactive particle tracking (RPT) measurements

  • Visual observation of riser
  • Lagrangian track of particle position

It should be noted that the tracer remains only a fraction of the circulation time in the study zone. Studies of fixed flux described in section 3.5 are used to select operating conditions. Except at low speed conditions (7 m/s and 7.8 m/s), changes in speeds are indistinguishable with operating conditions.

A typical tracer particle trajectory for single circulation is shown in Figure 3.9 in the x-z, y-z, r-z and r-θ planes.

Figure 3.7 Photograph of RPT test facility for laboratory scale CFB
Figure 3.7 Photograph of RPT test facility for laboratory scale CFB

Top viewr –z plane

Lagrangian velocity of the solids

The instantaneous Lagrangian velocities of the tracer particles are obtained by time differentiation of two consecutive positions of the tracer particle. The stationary condition is said to be satisfied if the moments of the distribution (mean, variance, etc.) do not change in the time series. In RPT experiments, with an increase in the data series (number of occurrences), the moments of the distribution should not change to have a stationarity.

The average velocity (ensemble) is calculated by adding the instantaneous velocities in the cell and dividing by the number of times they occur in the cell.

Figure 3.11 Axial Lagrangian velocity of solids for a single trajectory (U g  – 8.8 m/s  and G s  – 110 kg/m 2 s)
Figure 3.11 Axial Lagrangian velocity of solids for a single trajectory (U g – 8.8 m/s and G s – 110 kg/m 2 s)

PDF of instantaneous velocity

However, in the current study, we have clearly observed the presence of the clusters through photographic studies. This can be confirmed through higher velocity distribution observed near the wall of the riser. Results show that radial velocity at all locations is negligible compared to the axial velocity of the solids.

However, a relatively larger radial velocity distribution is observed near the center of the column compared to the wall.

Velocity vector plots

Therefore, it can be stated that the presence of negative velocity alone cannot confirm the presence of the clusters. Although such structures can be observed at all locations inside the riser, the probability of occurrence is higher near the wall. Similar profiles are observed for all operating conditions to ensure that axisymmetric flow is maintained.

Furthermore, asymmetric flows are observed under all operating conditions, so the azimuth average will not influence the comparison.

Figure 3.14 PDF of axial instantaneous velocities for the operating condition of U g  –  8.8 m/s and G s  – 110 kg/m 2 s at theta plane = 0°
Figure 3.14 PDF of axial instantaneous velocities for the operating condition of U g – 8.8 m/s and G s – 110 kg/m 2 s at theta plane = 0°

Number of occurrences

Most of the literature shows that the wall peaks (Godfroy et al., 1999; Bhusarapu, 2005), but in this work a steep increase in incidence from the center to the wall is observed. So far, qualitative analysis of the system is presented to find the overall flow pattern. Average velocities and other turbulent quantities at different axial positions can shed light on the behavior of the riser in detail for the mentioned operating conditions.

Ensemble averaged velocity

Furthermore, it is noted that slip velocity is approximately 1.3 times the terminal settling velocity of the solids, assuming that gas velocity is the same as the superficial gas velocity (plug flow). Such a slip velocity is usually observed either in dilute flow conditions or in dense suspension upflow conditions.

Solid velocity fluctuations

In other words, the fluctuations due to the mean free path are still dominant and decreasing the mean free path is not critical enough to reduce the fluctuations. However, in the radial and tangential directions (Reynolds shear stresses) the values ​​are almost zero. Insignificant values ​​of rz may be due to particle properties, since solids have high momentum, change in direction of motion is less likely to occur.

From the present and previous studies, it can be concluded that particle properties play a major role in the radial movement of solids.

Figure 3.19 shows the root mean square (RMS) fluctuations at three different heights for  the operating conditions of U g  – 8.8 m/s and G s  – 110 kg/m 2 s
Figure 3.19 shows the root mean square (RMS) fluctuations at three different heights for the operating conditions of U g – 8.8 m/s and G s – 110 kg/m 2 s

Turbulent kinetic energy

Kinetic theory of granular flow (KTGF) expresses the fluctuations in terms of granular temperature, similar to the thermodynamic temperature shown in the kinetic theory of gases. TKE values ​​are in the order of axial RMS fluctuations and essentially follow the same trend. Trend and values ​​of TKE are of the same order as in Tartan and Gidaspow (2004) and Pantzali et al. 2013), even though the superficial gas velocities and mass loading are higher in the present work.

Initially, the effect of superficial gas velocity on the behavior of solids flow in risers is discussed.

Figure 3.21 Azimuthally averaged Turbulent kinetic energy at different heights for  operating condition of U g  – 8.8 m/s and G s  – 110 kg/m2s
Figure 3.21 Azimuthally averaged Turbulent kinetic energy at different heights for operating condition of U g – 8.8 m/s and G s – 110 kg/m2s

Effect of superficial gas velocity

Axial RMS velocities are low in the center and high near the wall for all conditions. As the inlet gas velocity increases, the axial RMS velocity decreases up to 8.8 m/s and then remains almost constant. However, no significant difference is observed in the radial RMS velocity value for different.

The turbulent kinetic energy of solids decreases with increasing superficial gas velocity and follows the same profile as the RMS axial velocity.

Figure 3.22 PDF of axial instantaneous velocity of solids for different gas velocity at   the flux of 110 kg/m 2 sUg– 7.0 m/sUg– 7.8 m/sUg– 8.8 m/sUg– 9.6 m/s
Figure 3.22 PDF of axial instantaneous velocity of solids for different gas velocity at the flux of 110 kg/m 2 sUg– 7.0 m/sUg– 7.8 m/sUg– 8.8 m/sUg– 9.6 m/s

Effect of solid flux

These results show that initial increase in solids flux uniformly increases the solids fraction across the cross section. Increases in the gas velocity and solids flux simultaneously significantly increase the average axial solids velocity. However, increase in the average axial solids velocity is not linear with the gas velocity nor with the solids flux.

It is observed that the axial RMS velocity of solids increases with the increase in the solids flux.

Figure  3.28  Azimuthally  and  axially  averaged  mean  velocities  for  different  operating conditions
Figure 3.28 Azimuthally and axially averaged mean velocities for different operating conditions

Solid mixing studies

  • Residence time distribution
  • Trajectory length distribution (TLD)
  • Local solids mixing

With an increase in the superficial gas velocity at the same fixed flux, the average residence time, variance and dispersion number decrease. However, in the case of 7 and 7.8 m/s operating conditions, an increase in the dispersion figure is observed. Average length traveled and variance decrease with increasing superficial gas velocity at the same fixed flux.

While it is increasing or almost remains the same for increase in the fixed flux at the same superficial gas velocity.

Figure  3.32  Schematic of  experimental setup showing  different sections of  RTD  measurements
Figure 3.32 Schematic of experimental setup showing different sections of RTD measurements

Summary

Gas - Solid Turbulent Flow in a Circulating Fluidized Bed Riser: Experimental and Numerical Study of Monodisperse Particle Systems.Ind. Measurement of radial and axial solids flux variations in the rise of circulating fluidized bed in Circulate. Detailed Measurements of Particle Velocity and Solids Flux in a High-Density Circulating Fluidized Bed Riser.

Flow characteristics in the inlet and outlet regions of a high-flux circulating fluidized bed riser.

Gambar

Figure 1.2 Geldart classification of particles for air at ambient conditions (adapted  from Geldart (1973))
Figure 2.2 Schematic of LDA (Courtsey Dantec Dynamics ) Advantages of LDA technique are
Figure 2.3 Schematic of PIV measurement principle  Positron emission particle tracking (PEPT)
Figure 2.6 Flow chart for RPT data acquisition and processing  2.2.2  Implementation of RPT
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