Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, in order to solve the fractional advection-diffusion equation, the fractional characteristic finite difference method is presented, which is based on the method of characteristics (MOC) and fractional finite difference (FD) procedures. The ...

Although redistribution of red blood cells at bifurcated vessels is highly dependent on flow rate, it is still challenging to quantitatively express the dependence of flow rate in plasma skimming due to nonlinear cellular interactions. We suggest a plasma skimming model that can involve the effect of fractional blood flow at each bifurcation point. To validate the model, it is compared with in ...

The work carried out in this paper is an interdisciplinary study of Fractional Calculus and Fluid Mechanics i.e. work based on Mathematical Physics. The aim of this paper is to generalize the instability phenomenon in fluid flow through porous media with mean capillary pressure by transforming the problem into Fractional partial differential equation and solving it by using Fractional Calculus ...

soil conservation service curve number method (scs-cn) is a widely applied technique for predicting direct runoff from rainfall has been used around the world. in this study, the curve number maps and entry physical model data of kheyrud basin to hec-hms model, the hec-geohms extension in arcgis software and google earth satellite images were used. in addition to the statistical analysis of sur...

dense medium cyclone is a high capacity device that is widely used in coal preparation. it is simple in design but the swirling turbulent flow, the presence of medium and coal with different density and size fraction and the presence of the air-core make the flow pattern in dmcs complex. in this article the flow pattern simulation of dmc is performed with computational fluid dynamics and fluent...

BACKGROUND Variations in distal coronary pressure (Pd)/aortic pressure (Pa) ratio during steady-state hyperemia with standard (140 μg/kg per minute) adenosine dose may hamper accurate fractional flow reserve assessment. This study investigated to what extent an increased adenosine dose can overcome Pd/Pa variation. METHODS AND RESULTS In a prospective, single-arm study, out of 95 prospectivel...

OBJECTIVES This study sought to demonstrate how changes in the collateral function and its clinical significance before and after percutaneous coronary interventions (PCIs) are compared between patients with acute coronary syndrome and total or nearly total occlusions (ATOs) and chronic total occlusions (CTOs). BACKGROUND The functional relevance of the collateral circulation in patients with...