Polymerization of Ethylene on the Surface of Fine Particles

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Polymerization of Ethylene on the Surface of Fine Particles

Presented by: Babak ESMAILI

MTH 6301 PLANIFICATION ET ANALYSE STATISTIQUE D‘EXPÉRIENCES

Professer: Bernard CLÉMENT, PhD

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Outline

•Introduction

- Objective - Problems - Solution

•Experimental Design

- Screening phase - Optimization

•Conclusion

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•Introduction

Fine particles Covered by polymer Casting Sintering

High-dense materials

(High mechanical properties e.g.; erosion resistance)

Application : Biomedical compounds

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- Problems

not good mixing , not continuous production (in batch reactor)

Solution ?

Monomer : Ethylene (gas)

Particles : Mineral (very fine solid)

•Objective:

Polymerization of ethylene on the surface

of very fine particles

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Fluidized Bed Reactor

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Fluidized Bed Reactor

Good mixing, Continuous production

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Factors

Temperature Pressure Gas velocity

L_m/L_f

Time

Responses

Conversion Thickness of

layer

Dispersion

Process

X₂ X₁

X₃ X₄ X₅

•Experimental Design

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t₂ t₁

Time (hr)

b a

L_m/L_f

6 4

Velocity (times to min.)

30 20

Pressure (atm)

100 80

Temperature (^oC)

Level (+) Level (-)

Factor

Y= Conversion of monomer

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5 Factor with 2 levels

^{(-1 , +1)}

Plan: Fractional factorial 2

^5-1

(

Resolution V

) 16 treatments

Repetition 2, n=3 48 trial

Treatment X1 X2 X3 X4 X5

1 -1 -1 -1 -1 1

2 1 -1 -1 -1 -1

3 -1 1 -1 -1 -1

4 1 1 -1 -1 1

5 -1 -1 1 -1 -1

6 1 -1 1 -1 1

7 -1 1 1 -1 1

8 1 1 1 -1 -1

9 -1 -1 -1 1 -1

10 1 -1 -1 1 1

11 -1 1 -1 1 1

12 1 1 -1 1 -1

13 -1 -1 1 1 1

14 1 -1 1 1 -1

15 -1 1 1 1 -1

16 1 1 1 1 1

- Screening phase

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Analyse of Results

- Chart control diagram - ANOVA table

- Pareto diagram

- Residual analysis diagram

Find the important factors and interactions

and their effect

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- Optimization

1- Choosing the levels

2- Plan: full factorial design with 3 levels 3- Finding the model

(quadratic, considering interactions) Y_opt = B₀+ B_iX_i + B_iiX_i² + B_ijX _iX _j+ ^…

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•Conclusion

1- Investigation of process and get the important factors, interactions and their effects on the

response.

2- Optimizing the process and obtain the best plan.

3- Find a model for response as a function of factors and the interactions.