scholarly journals Analytical solution of freeze-drying mathematical model based in Darcy’s law: application to an orange juice-based cake

2021 ◽  
Vol 19 (1) ◽  
pp. 265-272
Author(s):  
Mariana Aziyadé Uscanga-Ramos ◽  
Erik Lopez-Sanchez ◽  
Nuria Martínez-Navarrete ◽  
Miguel Angel García-Alvarado ◽  
Marco Antonio Salgado-Cervantes
Keyword(s):  
Mathematical Model ◽  
Analytical Solution ◽  
Orange Juice ◽  
Freeze Drying ◽  
Darcy’S Law ◽  
Darcy's Law ◽  
Model Based

scholarly journals Modeling the Movement of Groundwater VOD in a Rectangular Jumper with a Screen

2021 ◽  
Vol 2 (2) ◽  
pp. 069-073
Author(s):  
EN Bereslavsky
Keyword(s):  
Free Surface ◽  
Steady State ◽  
Analytical Solution ◽  
Incompressible Fluid ◽  
Darcy’S Law ◽  
Exact Analytical Solution ◽  
Darcy's Law

Within the framework of planar steady-state filtration of incompressible fluid according to Darcy’s law, an exact analytical solution of the problem of flow in a rectangular cofferdam with a screen in the presence of evaporation from the free surface of groundwater is given. The limiting cases of the considered motion - filtration in unconfined reservoir to imperfect gallery, as well as the flow in the absence of evaporation - are noted.

A Suspending Abrasives and Porous Pad Model for the Analysis of Lubrication in Chemical Mechanical Polishing

2006 ◽  
Vol 315-316 ◽  
pp. 775-778 ◽  
Author(s):  
J.Y. Liu ◽  
Dong Ming Guo ◽  
Zhu Ji Jin ◽  
Ren Ke Kang
Keyword(s):  
Silicon Wafer ◽  
Chemical Mechanical Polishing ◽  
Micropolar Fluid ◽  
Darcy’S Law ◽  
Three Dimensional ◽  
Darcy's Law ◽  
Mechanical Polishing ◽  
Model Based ◽  
Fluid Theory ◽  
Lubrication Properties

The lubrication properties of the slurry between the silicon wafer and the pad in chemical mechanical polishing (CMP) are critical to the planarity of the silicon wafer. The effects of porous pad and suspending abrasives on the slurry film beneath the wafer become more prominent as the size of the silicon wafer becomes bigger. In order to explore the effects of porous pad and suspending abrasives on the lubrication properties of the slurry, a three-dimensional lubrication model based on the micropolar fluid theory and Darcy’s law is developed. The effects of the nanometer abrasives and the porosity of the pad on the lubrication of the slurry film between the silicon wafer and the pad are discussed.

scholarly journals Gravity-driven syneresis in model low-fat mayonnaise

Soft Matter ◽  
2019 ◽  
Vol 15 (46) ◽  
pp. 9474-9481
Author(s):  
Qimeng Wu ◽  
Melle T. J. J. M. Punter ◽  
Thomas E. Kodger ◽  
Luben Arnaudov ◽  
Bela M. Mulder ◽  
...  
Keyword(s):  
Darcy’S Law ◽  
Darcy's Law ◽  
Polymer Mixture ◽  
Low Fat ◽  
Porous Flow ◽  
Model Based ◽  
Gravity Driven ◽  
Flow Through

We show that forced syneresis in model low fat mayonnaise, a colloid polymer mixture, can be described as a gravity-driven porous flow through the densely packed emulsion, explainable with a model based on Darcy's law.

Optimal control strategy for cancer remission using combinatorial therapy: A mathematical model-based approach

2021 ◽  
Vol 145 ◽  
pp. 110789
Author(s):  
Parthasakha Das ◽  
Samhita Das ◽  
Pritha Das ◽  
Fathalla A. Rihan ◽  
Muhammet Uzuntarla ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Control Strategy ◽  
Optimal Control Strategy ◽  
Combinatorial Therapy ◽  
Model Based ◽  
Cancer Remission
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