23.11.2013 Views

Numerical Analysis of Defects Caused by Thermolysis in an Infinite ...

Numerical Analysis of Defects Caused by Thermolysis in an Infinite ...

Numerical Analysis of Defects Caused by Thermolysis in an Infinite ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

<strong>Numerical</strong> <strong>Analysis</strong> <strong>of</strong> <strong>Defects</strong> <strong>Caused</strong> <strong>by</strong> <strong>Thermolysis</strong><br />

ACKNO~DGEMENTS<br />

The research reported <strong>in</strong> this paper was part <strong>of</strong> a project funded <strong>by</strong> the<br />

Eng<strong>in</strong>eer<strong>in</strong>g <strong>an</strong>d physical Sciences Research Council (EPSRC) <strong>of</strong> the United<br />

K<strong>in</strong>gdom. The authors are grateful to EPSRC for this support <strong>an</strong>d to Pr<strong>of</strong>essor<br />

JR.G. Ev<strong>an</strong>s <strong>of</strong> Queen Mary <strong>an</strong>d Westfield College London <strong>an</strong>d Dr MJ.<br />

Ediris<strong>in</strong>ghe <strong>of</strong> Loughborough University for their comments on the paper. The<br />

authors are also grateful to Ms M.E. demmar, Department <strong>of</strong> Mathematics <strong>an</strong>d<br />

Statistics, Brunei University, for her help <strong>in</strong> prepar<strong>in</strong>g the typescript.<br />

REFERENCES<br />

CALVERT. P. <strong>an</strong>d M. CIMA. 1990. Theoretical models for b<strong>in</strong>der burnout. lAmer. Ceram.<br />

Soc. 73: 575-579.<br />

CRANK, J. <strong>an</strong>d P. ICOLSON. 1947. A practical method for numerical <strong>in</strong>tegration <strong>of</strong><br />

solutions <strong>of</strong> partial differential equations <strong>of</strong> heat conduction type. Proc. Camb. Phil.<br />

Soc. 43: 50-67.<br />

EOIRJSINGHE, MJ. <strong>an</strong>d J.R.G. EVANS. 1986a. Review: Fabrication <strong>an</strong>d eng<strong>in</strong>eer<strong>in</strong>g ceramics<br />

<strong>by</strong> <strong>in</strong>jection mould<strong>in</strong>g. Int. I High Tech. Ceramics 2: 1-31.<br />

EOIRJSINGHE, MJ. <strong>an</strong>dJ.R.G. EVANS. 1986b. Review: Fabrication <strong>an</strong>d eng<strong>in</strong>eer<strong>in</strong>g ceramics<br />

<strong>by</strong> <strong>in</strong>jection mould<strong>in</strong>g. Int. I High Tech. Ceramics 2: 249-278.<br />

EVANS,J.R.G., MJ. EOIRJSINGHE,J.K. WRJGHT <strong>an</strong>dJ.VRANK. 1991. On the removal <strong>of</strong> org<strong>an</strong>ic<br />

vehicle from moulded ceramic bodies. Proc. Roy. Soc. Lond. A432: 321-340.<br />

KHALIQ, A.Q.M. 1983. Ph. D. Thesis, Brunei Univesity.<br />

LAMBERT, J.D. 1991. <strong>Numerical</strong> Methods for Ord<strong>in</strong>ary Differential Systems: The<br />

Problem. Chichester: Wiley.<br />

Initial Value<br />

LAWSON, J.D. 1972. Some numerical methods for stiff ord<strong>in</strong>ary <strong>an</strong>d partial differential<br />

equations. In Proc. Second M<strong>an</strong>itova Con! on Nemerical Mathematics, p. 27-34. W<strong>in</strong>nipeg,<br />

C<strong>an</strong>ada.<br />

LAWSON, J.D. <strong>an</strong>d J.L1. MORRJs. 1978. The extrapolation <strong>of</strong> first-order methods for<br />

parabolic partial differential equations I. SIAMI Numer. Anal. 15: 1212-1224.<br />

LAWSON, J.D. <strong>an</strong>d D.A. SWAYNE. 1976. A simple efficient algorithm for the solution <strong>of</strong><br />

heat conduction problems. In Utilitas Mathematica - Proceed<strong>in</strong>gs <strong>of</strong> Sixth M<strong>an</strong>itoba<br />

Conference on <strong>Numerical</strong> Mathematics, p. 239-250 W<strong>in</strong>nipeg, C<strong>an</strong>ada.<br />

MATAR, SA, MJ. EOIRJSINGHE,J.R.G. EVANS <strong>an</strong>d E.H. TWIZELL. 1993. The effect <strong>of</strong> porosity<br />

development on the removal <strong>of</strong> org<strong>an</strong>ic vehicle from ceramic <strong>an</strong>d metal mould<strong>in</strong>gs.<br />

I Mater. Res. 8: 617-625.<br />

SHAW, H.M. <strong>an</strong>d MJ. EOIRJSI GHE. 1995. A model for the diffusion <strong>of</strong> org<strong>an</strong>ic additives<br />

dur<strong>in</strong>g thermolysis <strong>of</strong> a ceramic body. Phil. Mag. 72(1): 267-280.<br />

SWAYNE, D.A. 1987. Time-dependent boundary conditions <strong>an</strong>d <strong>in</strong>terior forc<strong>in</strong>g <strong>in</strong> locally<br />

one-dimensional schemes. SIAMI Sci. Stat. Comput<strong>in</strong>g 8(5): 755-767.<br />

Pert<strong>an</strong>ikaJ. Sci. & Techno!. Vo!. 7 o. 1, 1999 23

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!