In this paper, the study of fully developed flow a self-similar (fractal) power-law fluid is presented. The rheological way behaving modeled utilizing Ostwald–de Waele relationship (covering shear-thinning, Newtonian and shear-thickening fluids). A depicted as continuum in noninteger dimensional space. Involving vector calculus for instance space, we determine an analytical solution Cauchy equa...

The shear flow of non-Brownian glass spheres suspended in a concentrated colloidal dispersion that exhibits non-Newtonian rheology is investigated. At low volume fractions, the addition of non-Brownian spherical particles to the colloidal dispersion leads to an increase in the shear viscosity as well as the dynamic moduli. The flow curves of these suspensions are qualitatively similar to the su...

Vortex-induced vibrations (VIV) of a cylinder in Newtonian fluid is model problem fluid–structure interactions and has been studied extensively. In this work, we study the influence shear-thinning shear-thickening fluids on VIV response one-degree-of-freedom flexibly-mounted cylinder. We consider system with mass ratio $m^*=2$ zero structural damping power-law at $Re_0 = 15$ 200$ , respectively...