期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 28, 期 3, 页码 329-347出版社
JOHN WILEY & SONS LTD
DOI: 10.1002/mma.571
关键词
power-law fluid; non-Newtonian fluid; shear-thinning; shear-thickening
The present investigation deals with an undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian slime. The slime being the viscoelastic material is considered as a power-law fluid. A hydrodynamical model of motility involving an undulating cell surface which transmits stresses through a layer of exuded slime to the substratum is examined. The non-linear differential equation resulting from the balance of momentum and mass is solved numerically by a finite difference method with an iteration technique. The manner in which the various exponent values of the power-law flow affect the structure of the boundary layer is delineated. A comparison is made of the power-law fluid with the Newtonian fluid. For the power-law fluid with respect to different power-law exponent values, shear-thinning and shear-thickening effects can be observed, respectively. Copyright (C) 2004 John Wiley Sons, Ltd.
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