2015/09/04 by Taha Sochi, Sochi, Taha
Chemical Engineering · Engineering · #Drilling and Well Engineering #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Rheology and Fluid Dynamics Studies
paper · pdf · doi:10.48550/arxiv.1509.01648
openalex publication_date 2015/09/04 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
We investigate the possibility that the spatial dependency of stress in\ngeneralized Newtonian flow systems is a function of the applied pressure field\nand the conduit geometry but not of the fluid rheology. This possibility is\nwell established for the case of a one-dimensional flow through simply\nconnected regions, specifically tubes of circular uniform cross sections and\nplane thin slits. If it can also be established for the more general case of\ngeneralized Newtonian flow through non-circular or multiply connected\ngeometries, such as the two-dimensional flow through conduits of rectangular or\nelliptical cross sections or the flow through annular circular pipes, then\nanalytical or semi-analytical or highly accurate numerical solutions; regarding\nstress, rate of strain, velocity profile and volumetric flow rate; for these\ngeometries can be obtained from the stress function, which can be easily\nobtained from the Newtonian case, in combination with the constitutive\nrheological relation for the particular non-Newtonian fluid, as done previously\nfor the case of the one-dimensional flow through simply connected regions.\n