Flow of a shear thinning fluid between intersecting planes

Gliding motion of bacteria on power‐law slime

“…The distribution of the pressure gradient dp=dx within a wavelength can be obtained by numerically solving (30) with the boundary conditions (28) and then substituting into (33) for various values of the ow layer thickness h = 1 + ' sin x for x ∈ [0; 2 ]. The results are exhibited in Figure 6 for three values of m. Two group di erent values of V b and F are taken: Figure 6(a)) and V b = 2, F = 0:5 ( Figure 6(b)).…”

“…Boundary layer ows of non-Newtonian uids have been studied by various researchers. While most of these e orts have been directed at studying traditional inertial boundary layers, a departure has been the study of boundary layers in shear-thinning power-law uids [29][30][31], wherein boundary layers are found even when inertial e ects are ignored. The pronounced boundary layers, by which we mean the concentration of the vorticity in a thin layer adjacent to the boundary, are due to the shear-thinning nature of the uid resulting from the non-linear dependence of viscosity on the stretching tensor.…”

Squeeze flow of a power-law fluid between non-parallel plates

“…Flow of a power-law fluid in a wedge has been computed by Mansutti and Rajagopal [22]. Extension due to converging/diverging flow removes the singularity in the shear rate predicted on the centre plane = 0 when plates are parallel, and we expect the correction to the hydraulic resistance to vary as O( 2 ) when 1, as for a Newtonian fluid.…”

On Taylor's Scraping Problem and Flow of a Sisko Fluid

“…The creeping corner flow induced by a steady in-plane motion of the walls was later examined by Batchelor [3], but the investigations were restricted to Newtonian fluids. Mansutti and Rajagopal [17] studied the non-inertial flow of a shear thinning fluid between intersecting planes. They showed that sharp and pronounced boundary layers develop adjacent to the solid boundaries, even at zero Reynolds number.…”