A general purpose package in Mathematica environment for the automatic computation of non-newtonian ow equations is developed and presented. The software allows the user to choose among three coordinate systems and four diierent uid models. Changing of variables, scaling and other formal manipulation of the equations are also possible.

In this paper the drag-out problem for shear-thinning liquids at variable inclination angles is considered. For this free boundary problem dimension-reduced lubrication equations are derived for the most commonly used viscosity models, namely, the power-law, Ellis, and Carreau model. For the resulting lubrication models a system of ordinary differential equations governing the steady state solu...

Biological systems exhibit a wide range of contextual effects, and this often makes it difficult to construct valid mathematical models of their behaviour. In particular, mathematical paradigms built upon the successes of Newtonian physics make assumptions about the nature of biological systems that are unlikely to hold true. After discussing two of the key assumptions underlying the Newtonian ...

The calculus of variations is a field mathematical analysis born in 1687 with Newton’s problem minimal resistance, which concerned the maxima or minima integral functionals. Finding solution such problems leads to solving associated Euler–Lagrange equations. subject has found many applications over centuries, e.g., physics, economics, engineering and biology. Up this moment, however, theory bee...