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Table 12: Laminar mixture models for 2D and 3D domains described in §3.0. Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Laminar Algebraic Slip Mixture Model

Primary Phase Water-liquid

Secondary Phase Air

Multiphase

Implicit Body Forces On (0, -9.81, 0) m s-2 Boundary Conditions

Zone Type Condition Value

fluid Default Specifications -

wall Default Specifications -

pressure-inlet Gas Phase Fraction 0

Vertical Component Velocity 0.032 m s-1

velocity-inlet

Gas Phase Fraction 1 Solver Controls

Control Type Value

Equations Flow, Slip Velocity, Volume Fraction

Yes

Time Dependency Time Step 0.1 s

Pressure 0.3 Momentum 0.7 Slip Velocity 0.1 Volume Fraction 0.5 Density 1 Under-relaxation Body Forces 1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Discretization Scheme

Volume Fraction First Order Upwind

Table 13: k-ε turbulence mixture model for 2D and 3D domains described in §3.0. Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Standard k-ε turbulence model Wall Treatment Standard Wall Functions

Algebraic Slip Mixture Model

Primary Phase Water-liquid

Secondary Phase Air

Multiphase

Implicit Body Forces On (0, -9.81, 0) m s-2 Boundary Conditions

Zone Type Condition Value

Fluid Default Specifications -

Wall Default Specifications -

pressure-inlet Gas Phase Fraction 0

Vertical Component Velocity 0.032 m s-1

velocity-inlet

Gas Phase Fraction 1 Solver Controls

Control Type Value

Equations Flow, Slip Velocity, Volume Fraction, Turbulence

Yes

Time Dependency Time Step 0.1 s

Pressure 0.3 Momentum 0.7

Slip Velocity 0.1

Volume Fraction 0.5 Turbulence Kinetic Energy 0.8 Turbulence Dissipation Rate 0.8

Density 1

Viscosity 1

Under-relaxation

Body Forces 1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Turbulence Kinetic Energy First Order Upwind Turbulence Dissipation Rate First Order Upwind Discretization Scheme

Volume Fraction First Order Upwind

Table 14: Reynolds stresses mixture model for 2D and 3D domains described in §3.0. Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses model Standard Wall Functions Wall Treatment

RSM Wall Reflection Effects and Wall B.C. (solve k) Algebraic Slip Mixture Model

Primary Phase Water-liquid

Secondary Phase Air

Multiphase

Implicit Body Forces On (0, -9.81, 0) m s-2 User Defined Adjust Function Hook adj_vofandv

Boundary Conditions

Zone Type Condition Value

fluid Default Specifications -

wall Default Specifications -

pressure-inlet Gas Phase Fraction 0

Vertical Component Velocity 0.032 m s-1

velocity-inlet

Gas Phase Fraction 1 Solver Controls

Control Type Value

Equations Flow, Volume Fraction,

Turbulence, Slip Velocity, Reynolds stresses

Yes

Time Dependency Time Step 0.1 s

Pressure 0.3 Momentum 0.7

Slip Velocity 0.1

Volume Fraction 0.5 Turbulence Kinetic Energy 0.8 Turbulence Dissipation Rate 0.8

Viscosity 1

Reynolds stresses 0.5

Density 1 Under-relaxation

Body Forces 1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Turbulence Kinetic Energy First Order Upwind Turbulence Dissipation Rate First Order Upwind Reynolds stresses First Order Upwind Discretization Scheme

Table 15: Lateral convection with under-relaxation adjustment in §4.0. Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses model Standard Wall Functions Wall Treatment

RSM Wall Reflection Effects and Wall B.C. (solve k) Heat Transfer Enabled without Radiation Effects

Implicit Body Forces On (0, -9.81, 0) m s-2

Define On Demand velo_calc2 (Incl. Temp) User Defined

Initialisation Function Hook velo_calc6 (Incl. Temp) Boundary Conditions

Zone Condition Value

Material Air fluid.1

Temperature Initialised with 305 K

Material Aluminium

Temperature 300 K

left.2

Wall Roughness Constant 0

Material Aluminium

Temperature 310 K

right.3

Wall Roughness Constant 0

Material Aluminium

Temperature 305 K

top.4, base.5

Wall Roughness Constant 0 Solver Controls

Control Type Value

Equations Flow, Energy, Turbulence, Reynolds stresses

Yes

Time Dependency Time Step 0.2 s

Pressure, Momentum 1 Energy, Body Forces 1 Viscosity, Density 1 Under-relaxation

Reynolds stresses, Kinetic Energy and Dissipation Rate

0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9 and 1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Energy Second Order Upwind

Turbulence Kinetic Energy Second Order Upwind Turbulence Dissipation Rate Second Order Upwind Discretization Scheme

Table 16: Lateral convection for a number of k-ε turbulence modelling methods (§4.0). Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Standard k-ε turbulence model Wall Treatment Standard Wall Functions

Heat Transfer Enabled without Radiation Effects Implicit Body Forces On (0, -9.81, 0) m s-2

User Defined No Variable Updating -

Define On Demand velo_calc1 User Defined for velocity

only Initialisation Function Hook velo_calc5 Define On Demand velo_calc4 User Defined for velocity

and temperature Initialisation Function Hook velo_calc6 Adjust Function Hook velo_calc3 User Defined for velocity

only Initialisation Function Hook velo_calc5 Adjust Function Hook velo_calc4 User Defined for velocity

and temperature Initialisation Function Hook velo_calc6 Solver Controls

Control Type Value

Equations Flow, Energy, Turbulence Yes

Time Dependency Time Step 0.2 s

Pressure, Momentum 1 Energy, Body Forces 1 Viscosity, Density 1 Under-relaxation

Turbulent Kinetic Energy and Dissipation Rate 0.1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Energy Second Order Upwind

Turbulence Kinetic Energy Second Order Upwind Discretization Scheme

Table 17: Lateral convection for a number of Reynolds stresses modelling methods (§4.0). Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses model Standard Wall Functions Wall Treatment

RSM Wall Reflection Effects and Wall B.C. (solve k) Heat Transfer Enabled without Radiation Effects

Implicit Body Forces On (0, -9.81, 0) m s-2 User Defined for no

updates

No Variable Updating -

Define On Demand velo_calc1 User Defined for velocity

only Initialisation Function Hook velo_calc5 Define On Demand velo_calc2 User Defined for velocity

and temperature Initialisation Function Hook velo_calc6 Adjust Function Hook velo_calc3 User Defined for velocity

only Initialisation Function Hook velo_calc5 Adjust Function Hook velo_calc4 User Defined for velocity

and temperature Initialisation Function Hook velo_calc6 Solver Controls

Control Type Value

Equations Flow, Energy, Turbulence and Reynolds stresses

Yes

Time Dependency Time Step 0.2 s

Pressure, Momentum 1 Energy, Body Forces 1 Viscosity, Density 1 Under-relaxation

Reynolds stresses, Kinetic Energy and Dissipation Rate

0.1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Energy Second Order Upwind

Turbulence Kinetic Energy Second Order Upwind Turbulence Dissipation Rate Second Order Upwind Discretization Scheme

Table 18: Gas-liquid flow using the algebraic slip mixture model in §4.0. Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses model Standard Wall Functions Wall Treatment

RSM Wall Reflection Effects and Wall B.C. (solve k) Algebraic Slip Mixture Model

Primary Phase Water-liquid

Secondary Phase Air

Multiphase

Implicit Body Forces On (0, -9.81) m s-2

No Profile Updating - -

Define On Demand gl2db_calc Profile Updating

Initialisation Function Hook gl2dc_calc Boundary Conditions

Zone Condition Value

Vertical Velocity Component 0.032 m s-1

inlet

Gas Fraction 1

left, right Wall Roughness Constant 0

outlet Gauge Total Pressure 0

Solver Controls

Control Type Value

Equations Flow, Turbulence, Reynolds stresses, Volume Fraction, Slip Velocity

Yes

Time Dependency Time Step 0.1 s

Pressure 0.3 Momentum 0.7 Reynolds stresses, Slip

Velocity, Volume Fraction

0.1 Under-relaxation

Body Forces, Density, k-ε Turbulence, Viscosity

1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Turbulence Models First Order Upwind Discretization Scheme

Table 19: Gas-liquid flow using the modified scalar equation mixture model in §4.0. Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses model Standard Wall Functions Wall Treatment

RSM Wall Reflection Effects and Wall B.C. (solve k) Mixture Phase for scalar gas-liquid

Primary Phase Water-liquid

Secondary Phase Air

Scalar

Implicit Body Forces On (0, -9.81) m s-2

X-Momentum gl2d_xmom Y-Momentum gl2d_ymom User Defined Sources

Scalar Equation gl2d_vof Adjust Function Hook gl2de_calc Non-Profile Updating

Initialisation Function Hook gl2db_calc Adjust Function Hook gl2dd_calc Define On Demand gl2da_calc Profile Updating Case

Initialisation Function Hook gl2dc_calc

User Defined Memory 0 to 9 16 arrays

Boundary Conditions

Zone Condition Value

Vertical Velocity Component 0.032 m s-1

inlet

Scalar as a Flux 0.6 left, right Wall Roughness Constant 0

outflow Gauge Total Pressure 0

Solver Controls

Control Type Value

Equations Flow, Turbulence, Reynolds stresses, User defined scalar- 0

Yes

Time Dependency Time Step 0.1 s

Pressure 0.3 Momentum 0.7 Reynolds stresses, User

defined scalar-0 0.1 Under-relaxation

Body Forces, Density, k-ε Turbulence, Viscosity

1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Turbulence Models First Order Upwind Discretization Scheme

Table 20: Solid-liquid flow using the algebraic slip mixture model in §5.0. Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses model Standard Wall Functions Wall Treatment

RSM Wall Reflection Effects and Wall B.C. (solve k) Algebraic Slip Mixture Model

Primary Phase Water-liquid

Secondary Phase Particulate Solid (fluid) Multiphase

Implicit Body Forces On (0, -9.81) m s-2 Profile Updating None

Boundary Conditions

Zone Condition Value

Vertical Velocity Component 0.1 m s-1

Solid Fraction 0.1

Injection Time 0 to 10 seconds inlet

Convert to outflow condition At 10 seconds lefttop, righttop Convert to outflow condition At 10 seconds

wall Wall Roughness Constant 0

Solver Controls

Control Type Value

Equations Flow, Turbulence, Reynolds stresses, Volume Fraction, Slip Velocity

Yes

Time Dependency Time Step 0.1 s

Pressure 0.3 Momentum 0.7 Reynolds stresses, Slip

Velocity, Volume Fraction

0.1 Under-relaxation

Body Forces, Density, k-ε Turbulence, Viscosity

1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Turbulence Models First Order Upwind Discretization Scheme

Table 21: Solid-liquid flow using the modified scalar equation mixture model in §5.0. Model Settings

Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses model Standard Wall Functions Wall Treatment

RSM Wall Reflection Effects and Wall B.C. (solve k) Mixture Phase for scalar solid-liquid

Primary Phase Water-liquid

Secondary Phase Particulate Solid (fluid) Scalar

Implicit Body Forces On (0, -9.81) m s-2

X-Momentum sl2d_xmom Y-Momentum sl2d_ymom User Defined Sources

Scalar Equation sl2d_vof Adjust Function Hook sl2da_calc Initialisation Function Hook sl2db_calc Other User Defined

Functions

User Defined Memory, 0 to 9 16 arrays Boundary Conditions

Zone Condition Value

Vertical Velocity Component 0.1 m s-1

Scalar as a Flux 0.1 inlet

Injection Time 0 to 10 seconds

wall Wall Roughness Constant 0

Solver Controls

Control Type Value

Equations Flow, Turbulence, Reynolds stresses, User defined scalar- 0

Yes

Time Dependency Time Step 0.1 s

Pressure 0.3 Momentum 0.7 Reynolds stresses, User

defined scalar-0

0.1 Under-relaxation

Body Forces, Density, k-ε Turbulence, Viscosity

1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Turbulence Models First Order Upwind Discretization Scheme

Table 22: Gas-liquid-solid flow for the GLS1 case described in §5.0. Model Settings

Time Unsteady, 1st-Order Implicit Viscous Reynolds stresses Model

Standard Wall Functions Wall Treatment

RSM Wall Reflection Effects and Wall B.C. (solve k) Implicit Body

Forces On (0, -9.81) m s -2

Discrete Phase 1: Gas

G-L Mixture Phase gas-liquid

Primary Phase Water-liquid

Scalar

Secondary Phase Air (fluid)

X-Momentum gl2d_xmom Y-Momentum gl2d_ymom

Scalar Equation gl2d_vof

Adjust Function Hook gl2de_calc Initialisation Function Hook gl2db_calc User Defined

Functions

User Defined Memory 16 arrays Discrete Phase 2: Solid

Primary Phase S-L Mixture Phase

Algebraic Slip

Mixture Model Secondary Phase Solid (fluidized) Boundary Conditions

Zone Condition Value

Vertical Velocity Component 0.1 m s-1

Secondary Phase Fraction 0.1

Injection Time 0 to 10 s

solidinlet

Convert zone from velocity-inlet to

pressure-inlet 20 s

lefttop, righttop Convert zone from velocity-inlet to pressure-inlet

20 s Vertical Velocity Component 0.032 m s-1

Scalar as a Flux Rate 0.6 gasinlet

Injection Time 20 to 200 s

Wall Roughness Constant 0 leftwall, rightwall

Table 23: Gas-liquid-solid flow for the GLS2 case described in §5.0. Model Settings

Time Unsteady, 1st-Order Implicit Viscous Reynolds stresses Model

Standard Wall Functions Wall Treatment

RSM Wall Reflection Effects and Wall B.C. (solve k) Implicit Body

Forces On (0, -9.81) m s -2

Discrete Phase 1: Solid

S-L Mixture Phase solid-liquid

Primary Phase Water-liquid

Scalar

Secondary Phase Particulate Solid (fluid)

X-Momentum sl2d_xmom Y-Momentum sl2d_ymom

Scalar Equation sl2d_vof

Adjust Function Hook sl2da_calc Initialisation Function Hook sl2db_calc User Defined

Functions

User Defined Memory 16 arrays Discrete Phase 2: Gas

Primary Phase G-L Mixture Phase

Algebraic Slip

Mixture Model Secondary Phase Air (fluid) Boundary Conditions

Zone Condition Value

Vertical Velocity Component 0.1 m s-1

Scalar as a Flux 0.1

Injection Time 0 to 10 s

solidinlet

Convert zone from velocity-inlet to

pressure-inlet 20 s

lefttop, righttop Convert zone from velocity-inlet to pressure-inlet

20 s Vertical Velocity Component 0.032 m s-1

Secondary Phase Fraction 1 gasinlet

Injection Time 20 to 200 s

Wall Roughness Constant 0 leftwall, rightwall

Table 24: Solver controls for the GLS1 and GLS2 cases (Table 22 and Table 23). Solver Controls

Control Type Value

Equations Flow, Turbulence, Reynolds stresses, Slip Velocity, Volume Fraction, User defined scalar-0

Yes

Time Dependency Time Step 0.1 s

Pressure 0.3 Momentum 0.7 Reynolds stresses, Slip Velocity,

Volume Fraction, User defined scalar-0

0.1 Under-relaxation

Body Forces, Density, k-ε Turbulence, Viscosity

1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Turbulence Models First Order Upwind Discretization

Scheme

User defined scalar-0, Volume Fraction

Second Order Upwind

Table 25: Solver conditions for the GLS3 case (Table 26). Solver Controls

Control Type Value

Equations Flow, Turbulence, Reynolds stresses, Scalar-0, Scalar-1 (switched off before 20 s)

Yes

Time Depend. Time Step 0.1 s

Pressure 0.3 Momentum 0.7 Reynolds stresses, Scalar-0, Scalar-1

(switched off before 20 s)

0.1 Under-relaxation

Body Forces, Density, k-ε Turbulence, Viscosity

1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Turbulence Models First Order Upwind Discretization

Scheme

Scalar-0, Scalar-1 (switched off before 20 s)

Table 26: Gas-liquid-solid flow for the GLS3 case described in §5.0. Model Settings

Time Unsteady, 1st-Order Implicit Viscous Reynolds stresses Model

Wall Treatment Standard Wall Functions, Wall Reflection Effects & Wall B.C. Implicit Body

Forces

On (0, -9.81) m s-2 Phases

Mixture Phase Subroutines gls2d_mu and gls2d_rho predict the properties

Liquid Phase Water-liquid -

Gas Phase Air (fluid) Scalar-1

Solid Phase Particulate Solid (fluid) Scalar-0

X-Momentum gls2d_xmom Y-Momentum gls2d_ymom Scalar-0 slg2d_vof Scalar-1, not switched on for first 20 s gls2d_vof

Adjust Function Hook gls2da_calc Initialisation Function Hook gls2db_calc User Defined

Functions

User Defined Memory 22 arrays Boundary Conditions

Zone Condition Value

Vertical Velocity Component 0.1 m s-1

Scalar-0 as a Specified Value 0.1

Injection Time 0 to 10 s

solidinlet

Convert zone from velocity-inlet to pressure-inlet

At 20 s lefttop, righttop Convert zone from velocity-inlet to

pressure-inlet

At 20 s

Convert zone velocity inlet to wall Only from 0 to 20 s Vertical Velocity Component 0.032 m s-1

Scalar-1 as a Flux Rate 0.6 gasinlet

Injection Time 20 to 200 s

Wall Roughness Constant 0 leftwall, rightwall

Table 27: Gas-liquid-solid flow and reaction for the 5:1 aspect ratio bubble column. Model Settings

Mesh 5:1 height to diameter aspect ratio mesh, see Table 5 Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses Model

Wall Treatment Standard Wall Functions, Wall Reflection Effects & Wall B.C. Implicit Body

Forces On (0, -9.81) m s -2

Phases

Mixture Phase Subroutines gls_s1_mu and gls_s1_rho predict the properties

Liquid Phase Water-liquid -

Gas Phase Air (fluid) Scalar-1

Solid Phase Cell culture as a particulate solid Scalar-0

Substrate Solute, molasses Scalar-2

Product Solute, citric acid Scalar-3

X-Momentum gls_s1 xmom Y-Momentum gls_s1 ymom Scalar-0 sol_s1_vof Scalar-1 gas_s1_vof Scalar-2 sub_s1_vof Scalar-3 prod_s1_vof Adjust Function Hook a_gls_s1_calc

Initialisation Function Hook b_gls_s1_calc User Defined

Functions

User Defined Memory 29 arrays Boundary Conditions

Zone Condition Value

Scalar-1 as a Flux Rate 0 outlet

Scalars 0, 2 and 3 as Specified Values 0

Vertical Velocity Component 0.032 m s-1

Scalar-1 as a Flux Rate 0.6 inlet

Scalars 0, 2 and 3 as Specified Values 0 Wall Roughness Constant 0 leftwall, rightwall

Scalars 0-3 as Specified Values 0 Scalar-0 volume fraction initialised as 0.005 fluid.1

Table 28: Gas-liquid-solid flow and reaction for the 5:1 aspect ratio bubble column. Model Settings

Mesh 5:1 height to diameter aspect ratio mesh, see Table 5 Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses Model

Wall Treatment Standard Wall Functions, Wall Reflection Effects & Wall B.C. Implicit Body

Forces On (0, -9.81) m s -2

Phases

Mixture Phase Subroutines gls_s2_mu and gls_s2_rho predict the properties

Liquid Phase Water-liquid -

Gas Phase Air (fluid) Scalar-1

Solid Phase Cell culture as a particulate solid Scalar-0

Substrate Solute, molasses Scalar-2

Product Solute, citric acid Scalar-3

X-Momentum gls_s2 xmom Y-Momentum gls_s2 ymom Scalar-0 sol_s2_vof Scalar-1 gas_s2_vof Scalar-2 sub_s2_vof Scalar-3 prod_s2_vof Adjust Function Hook a_gls_s2_calc

Initialisation Function Hook b_gls_s2_calc User Defined

Functions

User Defined Memory 29 arrays Boundary Conditions

Zone Condition Value

Scalar-1 as a Flux Rate 0 outlet

Scalars 0, 2 and 3 as Specified Values 0

Vertical Velocity Component 0.032 m s-1

Scalar-1 as a Flux Rate 0.6 inlet

Scalars 0, 2 and 3 as Specified Values 0 Wall Roughness Constant 0 leftwall, rightwall

Scalars 0-3 as Specified Values 0 Scalar-0 volume fraction initialised as 0.005 fluid.1

Table 29: Gas-liquid-solid flow and reaction for the 20:1 aspect ratio bubble column. Model Settings

Mesh 20:1 height to diameter aspect ratio mesh, see Table 11 Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses Model

Wall Treatment Standard Wall Functions, Wall Reflection Effects & Wall B.C. Implicit Body

Forces On (0, -9.81) m s -2

Phases

Mixture Phase Subroutines gls_s1_mu and gls_s1_rho predict the properties

Liquid Phase Water-liquid -

Gas Phase Air (fluid) Scalar-1

Solid Phase Cell culture as a particulate solid Scalar-0

Substrate Solute, molasses Scalar-2

Product Solute, citric acid Scalar-3

X-Momentum gls_s1 xmom Y-Momentum gls_s1 ymom Scalar-0 sol_s1_vof Scalar-1 gas_s1_vof Scalar-2 sub_s1_vof Scalar-3 prod_s1_vof Adjust Function Hook a_gls_s1_calc

Initialisation Function Hook b_gls_s1_calc User Defined

Functions

User Defined Memory 29 arrays Boundary Conditions

Zone Condition Value

Scalar-1 as a Flux Rate 0 top

Scalars 0, 2 and 3 as Specified Values 0

Vertical Velocity Component 0.036 m s-1

Scalar-1 as a Flux Rate 0.6 bottom

Scalars 0, 2 and 3 as Specified Values 0 Wall Roughness Constant 0 left, right

Scalars 0-3 as Specified Values 0 Scalar-0 volume fraction initialised as 0.005 fluid.1

Table 30: Gas-liquid-solid flow and reaction for the 20:1 aspect ratio bubble column. Model Settings

Mesh 20:1 height to diameter aspect ratio mesh, see Table 11 Time Unsteady, 1st-Order Implicit

Viscous Reynolds stresses Model

Wall Treatment Standard Wall Functions, Wall Reflection Effects & Wall B.C. Implicit Body

Forces On (0, -9.81) m s -2

Phases

Mixture Phase Subroutines gls_s2_mu and gls_s2_rho predict the properties

Liquid Phase Water-liquid -

Gas Phase Air (fluid) Scalar-1

Solid Phase Cell culture as a particulate solid Scalar-0

Substrate Solute, molasses Scalar-2

Product Solute, citric acid Scalar-3

X-Momentum gls_s2 xmom Y-Momentum gls_s2 ymom Scalar-0 sol_s2_vof Scalar-1 gas_s2_vof Scalar-2 sub_s2_vof Scalar-3 prod_s2_vof Adjust Function Hook a_gls_s2_calc

Initialisation Function Hook b_gls_s2_calc User Defined

Functions

User Defined Memory 29 arrays Boundary Conditions

Zone Condition Value

Scalar-1 as a Flux Rate 0 top

Scalars 0, 2 and 3 as Specified Values 0

Vertical Velocity Component 0.036 m s-1

Scalar-1 as a Flux Rate 0.6 bottom

Scalars 0, 2 and 3 as Specified Values 0 Wall Roughness Constant 0 left, right

Scalars 0-3 as Specified Values 0 Scalar-0 volume fraction initialised as 0.005 fluid.1

Table 31: Solver conditions for gas-liquid-solid flow and reaction (Table 27 to Table 30). Solver Controls

Control Type Value

Equations Flow, Turbulence, Reynolds stresses, Scalar 0-3

Yes

Time Depend. Time Step 0.1 s

Pressure 0.3 Momentum 0.7 Reynolds stresses, Scalar 0-4 0.1

Under-relaxation

Body Forces, Density, k-ε Turbulence, Viscosity

1

Pressure Body Force Weighted

Momentum QUICK Pressure-Velocity Coupling SIMPLEC

Turbulence Models First Order Upwind Discretization

Scheme