This article gives a brief discussion of study on Non-Newtonian fluid and Navier-Stokes equation. A non-Newtonian fluid is a fluid that does not follow Newton's law of viscosity, that is, it has variable viscosity dependent on stress. Navier-Stokes equation in fluid mechanics is a partial differential equation that describes the flow of incompressible fluids. The aim of the present work is to study the Non-Newtonian fluid and Navier-Stokes equation. In this article, the non-Newtonian fluid can be characterized by a viscosity that varies with motion. For non-Newtonian fluids, the viscosity varies with the shear rate are studied. The behaviour of a fluid flow can be explained by the Navier Stokes equation. Key words: Mathematical methods, Non-Newtonian Fluids, Navier-Stokes equation
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