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The Quarterly Journal of Mechanics and Applied Mathematics 1956 9(2):129-135; doi:10.1093/qjmam/9.2.129
© 1956 by Oxford University Press
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FLUID FLOW BETWEEN POROUS ROLLERS

G. I. TAYLOR and J. C. P. MILLER

( Cambridge )

When a viscous fluid is entrained between two rollers which are separated by a small distance, a pressure is developed on the upstroam side of the point of nearest approach and a suction on the downstream side. Theoretically these both become infinite when the rollers are in contact. If, however, the rollers are slightly porous these infinities are avoided. The analysis of this situation involves the solution of a differential equation which has some interest. The distribution of pressure is rather similar to that which occurs when impervious rollers are not in contact. The result may have industrial applications to paper-making machines and to the rollers used for painting walls.


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