On the estimation of the leaked volume of an oil droplet undergoing breakup in crossflow filtration: CFD investigation, scaling, and a macroscopic model

2020 ◽  
Vol 252 ◽  
pp. 117459
Author(s):  
Amgad Salama
Keyword(s):  
Macroscopic Model ◽  
Crossflow Filtration ◽  
Oil Droplet

Crossflow Filtration of LAWPS Simulants

2018 ◽  
Author(s):  
Richard C. Daniel ◽  
Carolyn A.M. Burns ◽  
Renee L. Russell ◽  
Philip P. Schonewill ◽  
Sabrina D. Hoyle ◽  
...  
Keyword(s):  
Crossflow Filtration

scholarly journals Effect of storage on the rheological and viscoelastic properties of mayonnaise emulsions of different oil droplet size

Heliyon ◽  
2020 ◽  
Vol 6 (12) ◽  
pp. e05788
Author(s):  
George Katsaros ◽  
Magdalini Tsoukala ◽  
Marianna Giannoglou ◽  
Petros Taoukis
Keyword(s):  
Droplet Size ◽  
Viscoelastic Properties ◽  
Oil Droplet ◽  
Oil Droplet Size

MICRO AND MESO SCALES OF DESCRIPTION CORRESPONDING TO A MODEL OF TISSUE INVASION BY SOLID TUMOURS

2005 ◽  
Vol 15 (11) ◽  
pp. 1667-1683 ◽  
Author(s):  
MIROSŁAW LACHOWICZ
Keyword(s):  
Mathematical Models ◽  
Type Equation ◽  
Reaction Diffusion ◽  
Solid Tumours ◽  
Macroscopic Model ◽  
Scale Level ◽  
Micro Scale ◽  
Tissue Invasion ◽  
Mathematical Relationships ◽  
Meso Scale

In this paper two new mathematical models are proposed that correspond to a macroscopic model of tissue invasion of solid tumours, in terms of a system of reaction-diffusion-chemotaxis equations. The first model is defined at the micro-scale level of a large number of interacting individual entities, and is in terms of a linear (Markov) equation. The second model refers to the meso-scale level of description of test-entities and is given in terms of a bilinear Boltzmann-type equation. Mathematical relationships among these three possible descriptions are formulated. Explicit error estimates are given.

scholarly journals Superoleophobic Surfaces: Reversible Underwater Lossless Oil Droplet Transportation (Adv. Mater. Interfaces 2/2015)

2015 ◽  
Vol 2 (2) ◽  
pp. n/a-n/a ◽  
Author(s):  
Jiale Yong ◽  
Qing Yang ◽  
Feng Chen ◽  
Hao Bian ◽  
Guangqing Du ◽  
...  
Keyword(s):  
Oil Droplet

MIXED CONFORMING ELEMENTS FOR THE LARGE-BODY LIMIT IN MICROMAGNETICS

2013 ◽  
Vol 24 (01) ◽  
pp. 113-144 ◽  
Author(s):  
MARKUS AURADA ◽  
JENS M. MELENK ◽  
DIRK PRAETORIUS
Keyword(s):  
Mixed Finite Element ◽  
Large Body ◽  
Mixed Finite Element Method ◽  
Adaptive Strategy ◽  
Posteriori Error ◽  
Higher Order ◽  
Three Dimensions ◽  
Macroscopic Model ◽  
Error Estimator ◽  
Discrete Problem

We introduce a stabilized conforming mixed finite element method for a macroscopic model in micromagnetics. We show well-posedness of the discrete problem for higher order elements in two and three dimensions, develop a full a priori analysis for lowest order elements, and discuss the extension of the method to higher order elements. We introduce a residual-based a posteriori error estimator and present an adaptive strategy. Numerical examples illustrate the performance of the method.

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