Aspen Technology Aspen Process Manual Contents www.aspentech.com   support.aspentech.com 
Web site | Process Manual > Solids and separation > Bulk solids handling | Word index

BS 4: Gravity transfer

BS 4: Gravity transfer
     Part 1: Review of Flow of Powders, Pastes and Cakes
         1. INTRODUCTION
         2. PASTE AND CAKE TRANSFER IN CHUTES
             2.1 Practical and Experimental Observations
                 2.1.1 Flow Regimes in Chute Flow
                 2.1.2 Velocity and Density Distributions in Chute Flow
                 2.1.3 Flow of Material from Hoppers
                 2.1.4 Practical Experience with Wet and Cohesive Materials
             2.2 Material Properties in Gravity Flow
                 2.2.1 Internal Friction
                 2.2.2 Wall Friction
                 2.2.3 Cohesion and Adhesion in Damp Solids
                 2.2.4 Liquid and Solid Distribution
                 2.2.5 Viscous Properties of Solid-Liquid Mixtures
                 2.2.6 Practical Implications
             2.3 Models for Gravity Flow in Chutes for Bulk Solids
                 2.3.1 Bagnold`s Models for Flow 3,4
                 2.3.2 Fluid`s Analogues and the Model of Savage
                 2.3.3 The Model of Roberts
                 2.3.4 Comments on the Available Models
             2.4 Prediction of Flowrate and Flow Control
             2.5 Main Findings of Chute Flow Literature
         3. CHUTE LINING MATERIALS
             3.1 Relevant Properties of Lining Materials
             3.2 Wall Friction
             3.3 Interactions Between Adhesion and Friction
                 3.3.1 Observations of Adhesion - Static and Dynamic Adhesion
                 3.3.2 Simple Model of Adhesion and Friction
             3.4 Wear on Wall Surfaces
             3.5 Tests for Adhesion and Wear
         4. ASPECTS OF CHUTE DESIGN
             4.1 Primary Design Objective
             4.2 Selection of Wall Lining Materials for Non-Stick or Caking Systems
             4.3 Design of Chutes for Non-Caking Systems
                 4.3.1 Design Method and Data Required
                 4.3.2 Types of Flow
                 4.3.3 Cross-Section Geometry and Area
                 4.3.4 Joints and Duct Connections
                 4.3.5 Maintenance and Inspection
             4.4 Design of Chutes for Caking Systems
                 4.4.1 Design Method and Data Required
                 4.4.2 Wall Lining Materials
                 4.4.3 Types of Flow
                 4.4.4 Cross-Sectional Geometry and Area
                 4.4.5 Joints and Duct Connections
                 4.4.6 Maintenance and Inspection
             4.5 Flow Control and Feeders
                 4.5.1 Flow Control
                 4.5.2 Feeder Devices
         5. FLOW MEASUREMENT DURING GRAVITY TRANSFER
             5.1 Flow Measurement of Pastes and Cakes in Chutes
         6. RESEARCH REQUIREMENTS
             6.1 Collation of the Findings of the Survey
                 6.1.1 Materials Properties and Moisture Content
                 6.1.2 Flow Regimes in Gravity Flow Down Chutes
                 6.1.3 Modelling
                 6.1.4 Design
                 6.1.5 Testing
                 6.1.6 Operation of Equipment
                 6.1.7 Instrumentation and Control
                 6.1.8 Implications
             6.2 Further Work for Chute Design
         7. CONCLUDING REMARKS
         8. NOTATION
         9. REFERENCES
         A1: GENERAL MOMENTUM BALANCE EQUATION AND THE APPLICATION TO STEADY FILM FLOW
         A2: STEADY FLOW OF A BINGHAM PLASTIC
         A3: SAVAGE`S MODEL FOR STEADY FLOW
         A4: COMMENTS
     Part 2 : Design guide for gravity transfer of wet or dry bulk solids
         1. INTRODUCTION
             1.1 Introductory remarks
             1.2 Chute research
             1.3 Design objectives and scope
         2. CHUTE CLASSIFICATION
             2.1 Introductory remarks
             2.2 Fixed chutes
                 2.2.1 Accelerating chutes
                 2.2.2 Transfer chutes
                 2.2.3 Discharge chutes
                 2.2.4 Flood loading chutes
                 2.2.5 Standpipes
             2.3 Moving chutes
             2.4 Chute flow characteristics
                 2.4.1 Modes of flow
                 2.4.2 Transitional flow and flow instabilities
         3. FLOW PROPERTIES OF BULK SOLIDS
             3.1 Bulk solids flow properties
             3.2 Shear test apparatus
                 3.2.1 Jenike type direct shear tester
                 3.2.2 Torsional or ring shear apparatus
             3.3 Instantaneous yield locus (IYL)
             3.4 Flow function
             3.5 Time yield loci (TYL) and time flow function
             3.6 Angles of internal friction
             3.7 Flow functions for bulk solids
                 3.7.1 Influence of storage time
                 3.7.2 Influence of moisture content
             3.8 Wall yield locus (WYL) wall friction angle
                 3.8.1 Basic Concepts
                 3.8.2 Wall yield loci (WYL) and wall friction angle
             3.9 Inverted wall friction tests
             3.10 Typical wall yield loci
             3.11 Surface roughness
                 3.11.1 Height parameters
                 3.11.2 Horizontal parameters
                 3.11.3 Shape parameters associated with microroughness
                 3.11.4 Parameters associated with shape, spatial extent and amplitude
                 3.11.5 Statistical parameters
                 3.11.6 Three dimensional characteristics of surface roughness
             3.12 Roughness classification for typical surfaces
             3.13 Influence of vibrations
                 3.13.1 Influence of vibration on bulk strength
                 3.13.2 Influence of vibrations on wall friction
             3.14 Wear in bulk handling equipment
                 3.14.1 Impact and abrasive wear
                 3.14.2 Abrasive wear measurement
                 3.14.3 Test procedure
                 3.14.4 Wear test results
             3.15 Bulk density
             3.16 Permeability and particle solids density
                 3.16.1 Permeability
                 3.16.2 Solids density
             3.17 Submerged shear cell tests for wet solids
             3.18 APPENDIX TO SECTION 3
                 3.18.1 Some Notes on Handleability or Flowability
                 3.18.2 Measurement of Handleability
                 3.18.3 Flowability Indices Type 1
                 3.18.4 Categories
                 3.18.5 Flowability Indices Type 2
         4. ANALYSIS OF CHUTE FLOW
             4.1 Introductory remarks
             4.2 Lumped parameter model
             4.3 Resistive force
                 4.3.1 Resistive force components
                 4.3.2 Equivalent friction coefficient - chutes of rectangular cross-section
                 4.3.3 Equivalent friction coefficient - chutes of circular cross-section
             4.4 Chute flow profile
                 4.4.1 Continuity of flow
                 4.4.2 Stream thickness variation
                 4.4.3 Chutes of circular cross-section - general remarks
             4.5 Equations of motion
                 4.5.1 Moving co-ordinates - normal "n" and tangential "s" components
                 4.5.2 Cartesian co-ordinates - "x" and "y" components
                 4.5.3 Polar co-ordinates (r and x components)
             4.6 Chutes of specified geometry
                 4.6.1 Straight inclined chute
                 4.6.2 Curved chutes of constant radius
                 4.6.3 Other chute profiles
                 4.6.4 Stream thickness profile
             4.7 Closed form solutions - specific cases
                 4.7.1 Straight inclined chutes
                 4.7.2 Constant radius curved chutes
             4.8 Experimental studies and predicted performance
                 4.8.1 Straight inclined chute of constant circular cross-section
                 4.8.2 Straight inclined chute or variable diameter circular cross-section
                 4.8.3 Curved chutes of constant radius
                 4.8.4 Constant radius curve plus straight chutes
                 4.8.5 Other chute profiles
             4.9 APPENDIX TO SECTION 4
         5. CHUTE DESIGN CONSIDERATIONS IN RELATION TO BELT CONVEYING
             5.1 Introduction
             5.2 Feeding or loading conveyor belts
                 5.2.1 Free fall of bulk solid
                 5.2.2 Flow of bulk solid around curved chute of constant radius
             5.3 Transfer chutes
                 5.3.1 Inverted curved chute sections
                 5.3.2 Convex chute sections
             5.4 Wear in chutes
                 5.4.1 Abrasive wear factor of chutes
                 5.4.2 Impact wear in chutes
             5.5 Wear of belt at feed point
                 5.5.1 Abrasive wear parameter
                 5.5.2 Acceleration length
                 5.5.3 Impact wear
             5.6 Feed zone with skirtplates
                 5.6.1 Acceleration length
                 5.6.2 Example
                 5.6.3 Resistance due to skirtplates - steady motion
             5.7 Discharge trajectories from belt conveyors
                 5.7.1 General discussion
                 5.7.2 Angle at which discharge commences
                 5.7.3 Minimum belt speed for discharge to commence at first point of drum contact
                 5.7.4 Discharge trajectories
             5.8 Curved impact plates
             5.9 Chutes of three-dimensional geometry
         6. PRACTICAL CONSIDERATIONS IN CHUTE DESIGN AND OPERATION
             6.1 Introductory remarks
             6.2 Wall friction, cohesion and adhesion
             6.3 Selection of lining materials
             6.4 Adhesion of bulk solids to surfaces
                 6.4.1 Types of adhesion problems
                 6.4.2 Mechanisms of failure
             6.5 Examples of adhesion problems
             6.6 Feed and transfer chutes
                 6.6.1 Design objectives
                 6.6.2 Modes of failure
                 6.6.3 General recommendations
                 6.6.4 Chute cross-sectional dimensions and geometry
                 6.6.5 Chute design example
             6.7 Flow promotion
                 6.7.1 Application of vibrations to reduce the boundary frictional drag
                 6.7.2 Application of vibrations to overcome adhesion
             6.8 Flow in bins, vertical chutes and standpipes
                 6.8.1 Minimum standpipe diameter to avoid blockages due to adhesion
                 6.8.2 Boiler bins and standpipes - location (3) of Figure 6.4
                 6.8.3 Problems due to weathering of coal - location (4), Figure 6.7
             6.9 Conveyor belt carry back
                 6.9.1 Bulk solid discharge and carry-back after discharge
             6.10 Special chutes and design concepts
                 6.10.1 Feeding a cushion of fines to control wear
                 6.10.2 Use of rock boxing
                 6.10.3 Streamlined rock boxing - the Weba chute
                 6.10.4 Feeding at right angles using a double chute
                 6.10.5 Central loading of conveyor belts
         7. CHUTE DESIGN APPLICATION : 1. FEED CHUTE GEOMETRY FOR MINIMUM BELT WEAR
             7.1 Introduction
             7.2 Feeding or loading conveyor belts
                 7.2.1 Free fall of bulk solids
                 7.2.2 Flow of bulk solid around curved chute
             7.3 Wear of belt at feed point
             7.4 Loading a conveyor belt - an example
             7.5 Conveyor belt wear tests
             7.6 Concluding remarks
         8. CHUTE DESIGN APPLICATION : 2. TRANSFER CHUTE DESIGN
             8.1 Introduction
             8.2 Discharge characteristics from first belt
                 8.2.1 Conveyor throughput
                 8.2.2 Cross-sectional profile at idler set
                 8.2.3 Height of bulk solid on belt at idlers
                 8.2.4 Cross-sectional profile at drive drum
             8.3 Discharge trajectories
                 8.3.1 Discharge trajectories
                 8.3.2 Radius of curvature of path
                 8.3.3 Curved impact plate
             8.4 Flow around impact plate
             8.5 Feed chute
         9. CHUTE DESIGN APPLICATION : 3. MULTI DEGREE OF FREEDOM SHIPLOADING CHUTE
             9.1 Introduction
             9.2 Mechanics of the discharge flow
                 9.2.1 Discharge from conveyor
                 9.2.2 Flow in chute
                 9.2.3 Chute fullness
             9.3 Flow around lower trim flap
                 9.3.1 The trimmer flap as a rigid system
                 9.3.2 Forces acting on trimmer flap
                 9.3.3 Additional forces on the trimmer flap
                 9.3.4 Dynamic loads on the chute
             9.4 Concluding remarks
         10. CHUTE DESIGN APPLICATION : 4. BUCKET ELEVATORS
             10.1 Summary
             10.2 Introduction
             10.3 Mechanics of discharge
                 10.3.1 Introductory remarks
                 10.3.2 Bucket geometry
                 10.3.3 Sliding of bulk material relative to the bucket surface
                 10.3.4 Free flight
                 10.3.5 Directed flow due to contact with leading bucket
             10.4 Application to bucket elevator performance
             10.5 High speed discharge - elevator type type (c)
             10.6 Concluding remarks
         11. NOMENCLATURE
         12. REFERENCES

Volume BSH 4: Part 1 Gravity Transfer of Bulk Solids in Chutes

This part considers the gravity transfer of pastes, cakes and semi-dry bulk solids down open or closed chutes. The gravity transfer of dry, cohesionless bulk solids has been the subject of much theoretical modelling, principally by Roberts et al in Australia and Savage in Canada. Unfortunately most, if not all the results of this work cannot be applied to the flow of cohesive and adhesive pastes or cakes. Nevertheless some guidelines based largely on practical experience are available for chute design for wet, bulk solids and these are described.


Volume BSH 4: Part 2 Gravity Transfer of Bulk Solids in Chutes : Design Guide

This part covers the design of chutes used in bulk handling operations. These are called upon to perform a variety of operations. For instance, accelerating chutes are employed to feed bulk materials from slow-moving belt or apron feeders onto much faster moving conveyor belts. Transfer chutes are employed to direct the flow of bulk material from one conveyor belt to another, often via a three-dimensional path. In the case of flood-loading of bulk rail wagons where discharge rates of several thousand tonnes per hour are required, it is common to use telescopic flood loading chutes in association with mass-flow bins. Discharge chutes are used as part of the discharge process of such handling equipment as bucket elevators, screw conveyors and belt conveyors, as well as discharges points from unit operations such as various designs of filter and centrifuge. Standpipes are a special form of vertical chute used in feeding operations where the existence of a pressure gradient requires a head of solids to be maintained.

Some operations require the use of moving chutes, a typical application being the flow of materials from the buckets of a bucket elevator during the discharge process. In other applications, such as in loading coal into bulk ships, complex, multi degree-of-freedom chute configurations are used to distribute the load uniformly within the holds of the ship.

While noting the broad range of applications and the used of special chutes as mentioned above, the scope of this Design Guide is constrained to fixed chutes, such as those more commonly encountered in bulk handling operations. The need for fast, accelerated flow is emphasised in order that blockages be prevented. This requires the determination of the most appropriate chute profiles to achieve optimum flow within the limitations of space available. The methods of analysis to achieve efficient and effective profiles are described.

An important aspect of chute design is the knowledge of the relevant bulk solid flow properties. In particular, the interaction between the bulk solids and chute lining surfaces needs to be thoroughly understood if streamlined flow without blockages and spillage is to be achieved and wear is to be minimised. The relevant test procedures to measure the required parameters are included in the Guide. These procedures include the inverted shear test for the measurement of the variation of wall or boundary friction with normal pressure as well as the determination of cohesion and adhesion. The latter parameters provide an indication of the potential for build-up to occur on a chute surface. The tests also include the measurement of lining surface wear which, in association with the computed wear profiles based on the analytical models, allows the absolute wear and life of the lining materials to be determined.

A section of the Design Guide is devoted to practical design and operation considerations. This includes the selection criteria for chute lining materials and the necessary objectives for the achievement of efficient operation without spillage. Case study examples illustrate the application of the design procedures to practical industrial applications.