A computational fluid dynamics simulation study has been carried out for unsteady laminar flow in a planar 2D T-junction, using non-Newtonian viscoelastic fluids with characteristics similar to those of blood. In the large blood vessels, blood can be modelled as a Newtonian fluid, however in smaller vessels it exhibits non-Newtonian behaviour, showing a shear-thinning viscosity and, additionall...

In this paper, fractal calculus, which is called Fα-calculus, reviewed. Fractal calculus implemented on interpolation functions and Weierstrass functions, may be non-differentiable non-integrable in the sense of ordinary calculus. Graphical representations are presented.

By analogy with complex K–theory and reality, there are theories of unitary functor calculus both which generalisations Weiss' orthogonal calculus. In this paper we show that can be completely recovered from the in to how topological is reality via forgetting C2–action.

the excellent performance of fluidized bed heat exchangers is due to the interaction between particles and heat transfer surface and to the mixing effects in the viscous sublayer. in this paper, the results of experimental investigations on heat transfer for a wide range of newtonian and non-newtonian (shear-thinning power law) fluids are presented. new design equations have been developed for ...

By using the newtonian gauge, we re-confirm that, as in the minimal case, the re-scaled Mukhanov-Sasaki variable is conserved leading to a constraint equation for the Newtonian potential. However, conversely to the minimal case, in Horndeski theories, the super-horizon Newtonian potential can potentially grow to very large values after inflation exit. If that happens, inflationary predictabilit...

Both for the background world model and its linear perturbations Newtonian cosmology coincides with the zero-pressure limits of relativistic cosmology. However, such successes in Newtonian cosmology are not purely based on Newton’s gravity, but are rather guided ones by previously known results in Einstein’s theory. The action-at-a-distance nature of Newton’s gravity requires further verificati...

the computational method based on using the operational matrix of anorthogonal function for solving variational problems is computeroriented. in this approach, a truncated hartley series together withthe operational matrix of integration and integration of the crossproduct of two cas vectors are used for finding the solution ofvariational problems. two illustrative examples are included todemon...

In this study, predictive capabilities of apparent viscosity of oil-based drilling fluids which is used in National Iranian South Oilfields Company (NISOC) were evaluated using Newtonian and non-Newtonian models to drive a new suitable equation. The non-Newtonian models include Bingham plastic, Power law, Herschel-Bulkley, Casson, and Robertson-Stiff. To validate the results, the calculated vis...

New additional equations for the Newtonian dynamical systems on Riemannian manifolds are found. They supplement the previously found weak normality conditions up to the complete normality conditions for Newtonian dynamical systems.