Pritchard, David (2006) Viscous fingering of a thixotropic fluid in a porous medium or a narrow fracture. Journal of Non-Newtonian Fluid Mechanics, 135. pp. 117-127. ISSN 0377-0257Full text not available in this repository. (Request a copy from the Strathclyde author)
We consider the flow of a fluid with a modified Bautista–Manero rheology injected radially into a porous medium or unidirectionally into a widening fracture. Linear stability analysis of the flows demonstrates that viscous fingering instabilities are possible, supported essentially by the thixotropic nature of the fluid: the growth rate of unstable perturbations scales approximately with the relaxation rate of the fluid, while their spatial scale is set in the radial case by where is the areal injection rate, and in the fracture case by a ‘relaxation lengthscale’ which cannot be deduced by purely dimensional reasoning. It appears likely that the same instability mechanism can occur in other shear-thinning thixotropic fluids.
|Keywords:||thixotropic fluid , viscous fingering, fluid mechanics, Mathematics, Materials Science(all), Chemical Engineering(all), Mechanical Engineering, Applied Mathematics, Condensed Matter Physics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Pure Administrator|
|Date Deposited:||20 Oct 2011 10:49|
|Last modified:||06 Jan 2017 10:02|