Summary
To understand some main ink flow mechanisms in a mimeograph printer, the continuum mechanics theory of fluid-saturated porous solids is applied to analyze the ink flow through screens and a printing master, which are modeled by a fluid-filled poroelastic single layer. The layer is assumed to be pressed by a press roller from below and to be subjected from above to the hydrodynamic lubrication pressure induced between a printing drum and an ink roller. Nonlinear elasticity of the layer and dependence of the permeability on its deformation are taken into account. The numerical results show some important results: e.g., squeezing-out of the ink from the layer by the layer compaction by the press roller plays an important role, especially for the case where the compression duration is small in comparison with the characteristic time of the ink-filled poroelastic layer.
Similar content being viewed by others
References
Rice, J. R., Cleary, M. P.: Some basic diffusion solutions for fluid-saturated elastic porous media with compressible constituents. Rev. Geophys. Space Phys.14, 227–241 (1976).
Cleary, M. P.: Fundamental solutions for a fluid-saturated porous solid. Int. J. Solids Struct.13, 785–806 (1977).
Kurashige, M.: Transient response of a fluid-saturated poroelastic layer subjected to a sudden fluid pressure rise. ASME J. Appl. Mech.49, 492–496 (1982).
Gohar, R.: Elastohydrodynamics, pp. 79–84. New York: J. Wiley 1988.
Timoshenko, S. P., Goodier, J. N.: Theory of elasticity, pp. 370–382. New York: McGraw-Hill 1951.
Kurashige, M., Takasawa, H., Mori, T.: An application of the mechanics of fluid-saturated poroelastic solids. Trans. Jpn. Soc. Mech. Eng.A-60, 1425–1429 (1994).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mishima, M., Kurashige, M., Takasawa, H. et al. Analysis of ink flow in a mimeograph printer based on the mechanics of fluid-filled poroelastic solids. Acta Mechanica 127, 51–62 (1998). https://doi.org/10.1007/BF01170362
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01170362