Levitation conditions for condensing droplets over heated liquid surfaces

Soft Matter ◽  
2021 ◽  
Author(s):  
Dmitry V. Zaitsev ◽  
Dmitry P. Kirichenko ◽  
Oleg A. Kabov ◽  
Vladimir S. Ajaev
Keyword(s):  
Mathematical Modeling ◽  
Droplet Size ◽  
Liquid Layer ◽  
Experimental Studies ◽  
Single Curve ◽  
Liquid Surfaces

We report experimental studies of levitation of microdroplets over evaporating liquid layer and show that all data for levitation height as a function of droplet size represented in nondimensional form collapses onto a single curve obtained from mathematical modeling.

Use of Digital Twins for Mathematical Modeling of Ultrasonic Cutting of Titanium Blanks

2021 ◽  
Vol 1037 ◽  
pp. 369-376
Author(s):  
Maxim Ilyushkin ◽  
Kirill Savelev ◽  
Oleg Krupennikov ◽  
Evgeniy S. Kiselev
Keyword(s):  
Mathematical Modeling ◽  
Thermal Power ◽  
Experimental Studies ◽  
Ultrasonic Field ◽  
Design Parameters ◽  
Digital Twins ◽  
Machine Parts ◽  
Cutting Processes ◽  
Stock Removal ◽  
Processing Zone

The paper presents the results of numerical experimental studies of cutting titanium blanks using mathematical modeling programs, which make it possible to completely repeat technological processes in a computer (digital twin). The LS-DYNA product was used as a program to simulate the process of stock removal from titanium blank. It has been established that the use of this method adequately describes the cutting processes, including with the introduction of the energy of an ultrasonic field into the processing zone, can significantly reduce the duration of experimental research and evaluate the influence of the elements of the cutting mode and design parameters of the tool on the thermal power aspects of the formation of new surfaces of machine parts.

Removal of particles using dual media filtration: modeling and experimental studies

2001 ◽  
Vol 1 (4) ◽  
pp. 73-79 ◽  
Author(s):  
C.R. O'Melia ◽  
J.Y. Shin
Keyword(s):  
Mathematical Modeling ◽  
Filtration Rate ◽  
Experimental Studies ◽  
Head Loss ◽  
Particle Removal ◽  
Chemical Pretreatment ◽  
Column Studies ◽  
Filter Performance ◽  
Particle Counts ◽  
Filtration Modeling

The performance of packed beds using dual media for removing particles is examined using both predictive mathematical modeling and experimental column studies. Models for the effectiveness of clean filter beds were used to simulate the effects of chemical pretreatment and filtration rate on particle removal at the onset of filtration runs. Experimental studies were conducted over complete filtration runs and were evaluated using measurements of head loss development and removals of turbidity, UV254 absorbance, and particles. The results indicate that dual media beds have significant advantages over monomedia beds during both filter ripening and filter breakthrough; they are particularly helpful at high filtration rates and during periods of inadequate chemical pretreatment. Finally, particle counts provide an earlier indicator of deteriorating filter performance than turbidity measurements at the end of a run.

scholarly journals Wear Processes in a Mechanical Friction Clutch: Theoretical, Numerical, and Experimental Studies

2015 ◽  
Vol 2015 ◽  
pp. 1-28 ◽  
Author(s):  
Dariusz Grzelczyk ◽  
Jan Awrejcewicz
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Numerical Analysis ◽  
Numerical Simulations ◽  
Experimental Studies ◽  
Friction Torque ◽  
Wear Properties ◽  
Wear Model ◽  
Differential Model ◽  
Friction Clutch

Mathematical modeling, theoretical/numerical analysis, and experimental verification of wear processes occurring on the contact surface of friction linings of a mechanical friction clutch are studied. In contrast to many earlier papers we take into consideration wear properties and flexibility of friction materials being in friction contact. During mathematical modeling and numerical simulations we consider a general nonlinear differential model of wear (differential wear model) and a model of wear in the integral form (integral wear model). Equations governing contact pressure and wear distributions of individual friction linings, decrease of distance between clutch shields, and friction torque transmitted by the clutch are derived and compared with experimental data. Both analytical and numerical analyses are carried out with the qualitative and quantitative theories of differential and integral equations, including the Laplace transform approach to ODEs. We show that theoretical results and numerical simulations agree with the experimental data. Finally, a numerical analysis of the proposed mathematical models was carried out in a wider range of parameters of the considered system.

scholarly journals To model or not to model?

2011 ◽  
Vol 22 (7) ◽  
pp. 909-910 ◽  
Author(s):  
Daniel A. Fletcher
Keyword(s):  
Mathematical Modeling ◽  
Annual Meeting ◽  
Cell Biology ◽  
Experimental Studies ◽  
Personal Experiences ◽  
Modeling And Experiments

In theory, the combination of mathematical modeling with experimental studies can be a powerful and compelling approach to understanding cell biology. In practice, choosing appropriate problems, identifying willing and able collaborators, and publishing the resulting research can be remarkably challenging. To provide perspective on the question of whether and when to combine modeling and experiments, a panel of experts at the 2010 ASCB Annual Meeting shared their personal experiences and advice on how to use modeling effectively.

Adsorption-Desorption Processes in Adsorption Chillers

2016 ◽  
Vol 20 (2) ◽  
pp. 81-89
Author(s):  
Monika Gwadera
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mass Transfer ◽  
Experimental Studies ◽  
Operating Principle ◽  
Adsorption Desorption ◽  
The Mathematical Model

AbstractThe aim of this paper is to present the adsorption chillers technology. The operating principle of these systems, the adsorbent-adsorbate pairs that are frequently applied and the enhancement techniques that allow improvement of their efficiency are presented. Analysis of the mass transfer and principles of mathematical modeling of such systems are also discussed. In the further part of the text, the results of experimental studies and comparison of these results with calculations based on the mathematical model of adsorption were presented.

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