Governing Differential Equations
The governing equations in non-Newtonian fluid mechanics are derived from the principles of mechanics which can be applied indiscriminately to all materials and the science of rheology which is the study of deformation and flow behaviour of real materials. These sciences are the foundation of many engineering disciplines such from strength of materials and structural engineering to hydraulics and fluid mechanics. However, due to the very broad class of material behaviour that may be represented within the classification of non-Newtonian fluids, the study of non-Newtonian fluids is often simply called rheology [1,2].
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