A Non-Newtonian Fluid Flow in a Pipe


In this chapter we will consider time-independent non-Newtonian fluids flowing in a pipe in a fully developed state and in a laminar flow regime. Non-Newtonian fluids are studied in rheology, which is the science of deformation and fluid flow. In Newtonian fluids like water, air, milk, and so on, the shear stress applied to a fluid element is proportional to the shear rate, namely the local velocity gradients, where the proportionality constant is the fluid’s viscosity μ [(N s) m−2], constant at a given temperature. On the other hand, for non-Newtonian fluids, the fluid’s viscosity is not a constant at a given temperature and changes with the magnitude of the shear rate and in some cases with time.

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