A Study of Non – Newtonian Fluid Flow and Constricted Tubes in Circular Tubes

MATHEMATICS

A non-Newtonian fluid is a fluid that doesn't keep Newton's law of viscosity, i.e., constant viscosity autonomous of stress. In non-Newtonian fluids, viscosity can change when under force to either more fluid or stronger. Ketchup, for instance, becomes runnier when shaken and is along these lines a non-Newtonian fluid. Many salt solutions and liquid polymers are non-Newtonian fluids, as are many commonly discovered substances like custard toothpaste, starch suspensions, corn starch, paint, blood, liquefied spread, and cleanser. The mathematical analysis of non-Newtonian fluid flows through constricted tubes in various conditions has been investigated in this study. As a result, the flow problems have been linearized, and equations for flow resistance and shear stress on the wall have been derived. The flow resistance of micropolar fluid increases with stenosis height and coupling number and decreases with micropolar fluid parameter, stenotic dilatation, and tube length. We have taken a steady and laminar flow of Newtonian and non-Newtonian fluids, Here Navier-Stokes’s equations is used in the formulation of the model. The Newtonian and non-Newtonian fluids were examined in the effects of porous medium. The experimental data were compared with theoretical predictions. Aforesaid flow quantities are significantly higher for flow in tubes with variable permeability than for flow in tubes with constant permeability.

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