Fibre-level Model of Paper Roughness, 19PaperCon
We present a theoretical analysis of paper roughness assuming that the distribution of surface asperities is described by a negative exponential distribution; full justification of this assumption will be provided. On this basis, we proceed to derive expressions for the roughness averages Ra and Rq and subsequently show that there is a linear relationship between them. Further, we provide expressions allowing estimation of the effect of fibre variables on roughness parameters. The validity of the model is confirmed by comparison of theory with the results of simple experiments using handsheets.
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