Abstract
The problem of understanding the transfer of fibres between carding-machine surfaces is addressed by considering the movement of a single fibre in an airflow. The structure of the aerodynamic flow field predicts how and when fibres migrate between the different process surfaces. In the case of a revolving-flats carding machine the theory predicts a “strong” aerodynamic mechanism between taker-in and cylinder and a “weak” mechanism between cylinder and removal cylinder resulting in effective transfer in the first case and a more limited transfer in the second.
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References
Dehghani A., Lawrence C.A., Mahmoudi M., Greenwood B., Iype C. (2000). An assessment of changes in the state of fibre mass during the early stages of the carding process. J. Textile Inst. 91:359–373
Lee M.E.M., Ockendon H. (2005). A continuum model for entangled fibres. Eur. J. Appl. Math. 16:145–160
G.Kozyreff, M.E.M. Lee and H.Ockendon, Towards understanding the internal forces in a tuft of fibres. Submitted.
Baturin Y.A. (1964). The load of the surfaces and the proportion of fibre transferred between the surfaces. Technol. Textile Industry, U.S.S.R. 4:37–43
Lawrence C.A., Dehghani A., Mahmoudi M., Greenwood B., Iype C. (2000). Fibre dynamics in the revolving-flats card, part 1, a critical review. AUTEX Res. J. 1:64–77
Dehghani A., Lawrence C.A., Mahmoudi M., Greenwood B., Iype C. (2004). Aerodynamics and fibre transfer at the cylinder-doffer interface. J. Textile Inst. 95:35–49
Taylor G.I. (1952). Analysis of the swimming of long and narrow animals. Proc. R. Soc. London A 214:158–183
Cox R.G. (1970). The motion of long slender bodies in a viscous fluid part 1 General theory. J. Fluid Mech. 44:791–810
Batchelor G.K. (1970). Slender-body theory for particles of arbitrary cross-section in stokes flow. J. Fluid Mech. 44:419–440
Morton W.E., Hearle J.W.S. (1975). Physical Properties of Textile Fibres. William Heinemann, London, 660 pp.
Love A.E.H. (1927). A Treatise on the Mathematical Theory of Elasticity, 4th edn. Cambridge University Press, Cambridge, 643 pp
Hinch E.J. (1976). The distortion of a flexible inextensible thread in a shearing flow. J. Fluid Mech. 74:317–333
Jones M.A., Smith F.T. (2003). Fluid motion for car undertrays in ground effect. J. Engng. Math. 45:309–334
Abhiraman A.S., George W. (1973). A new aspect of the stochastic nature of carding. Textile Res. J. 43:452–467
Gutierrez H.M., Rust J.P., Seyam A.F. (1995). Modeling and simulation for control carding. Textile Res. J. 65: 638–643
Rust J.P., Gutierrez H.M. (1994). Mathematical modeling and simulation for carding. Textile Res. J. 64:573–578
Wibberly L.D., Roberts Jr W.W. (1997). Modeling the diffusive transport of bulk fiber mass in a card. Textile Res. J. 67: 296–308
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Lee, M.E.M., Ockendon, H. The Transfer of Fibres in the Carding Machine. J Eng Math 54, 261–271 (2006). https://doi.org/10.1007/s10665-005-9029-7
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DOI: https://doi.org/10.1007/s10665-005-9029-7