Flow of a Self-Similar Non-Newtonian Fluid Using Fractal Dimensions

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 equation non-Newtonian cylindrical pipe. plot velocity profile obtained shows that behavior essentially impacted by its structure. shear thinning take on behaving, becomes more thickening. This approach has many useful applications industry, investigation blood fractal hydrology.