An analytical model for number of fibre-fibre contacts in paper and expressions for relative bonded area (RBA)

Research output: Contribution to conferencePaper

7 Citations (Scopus)

Abstract

This paper proposes an analytical model for fibre-fibre contacts relating the number of fibre-fibre contacts per unit fibre length with the cross-sectional dimensions of the fibres in a sheet and the sheet density. This model has been verified with data of the number of fibre-fibre contacts ( Nc) measured directly in handsheets using a combined technique of resin embedding and confocal microscopy. The fibre-fibre contacts in the handsheets were classified into full contacts and partial contacts during measurement. We showed that the model best fits this data when 1.5 partial contacts are treated as equivalent to one full contact, for the purposes of comparison with the model. Using this equivalence, when the model predictions were plotted against the number of measured equivalent full contacts, a linear relationship was found with a slope of 0.99 and a correlation coefficient of R2 = 0.93. The model for Nc is further substituted into expressions for Relative Bonded Area (RBA) and its validity again checked using experimental data for RBA. The RBA was determined using two different methods, viz. by measuring the BET area of the sheets by nitrogen adsorption technique (RBAN2) and by measuring scattering coefficients of the sheets (RBAsc). A new method was used in this study for determination of S0 and two expressions of RBA (corresponding to RBAsc and RBAN2 are derived from the model for Nc A graphical comparison of the predicted RBAN2to the measured RBAN2 shows a slope of 1. 01 and a correlation coefficient of 0.88. The predictions for RBAs and the corresponding measurements showed a very strong linear correlation (slope=0.94 and R2 = 0.94) and when they were plotted against each other. It is concluded that the model for the number of fibre-fibre contacts per unit fibre length is valid.

Original languageEnglish
Pages77-83
Number of pages7
Publication statusPublished - 20 Nov 2003
EventInternational Paper Physics Conference 2003 - Victoria, BC, Canada
Duration: 7 Sep 200311 Sep 2003
http://www.paptac.ca/en/publications/bookstore/257-2003-international-paper-physics-conference

Conference

ConferenceInternational Paper Physics Conference 2003
Abbreviated titlePAPTAC 2003
CountryCanada
CityVictoria, BC
Period7/09/0311/09/03
Internet address

Cite this

He, J., Batchelor, W. J., & Johnston, R. E. (2003). An analytical model for number of fibre-fibre contacts in paper and expressions for relative bonded area (RBA). 77-83. Paper presented at International Paper Physics Conference 2003, Victoria, BC, Canada.