Industrial applications of a mathematical model for the zinc electrowinning process

1994 ◽  
Vol 24 (5) ◽  
Author(s):  
G.W. Barton ◽  
A.C. Scott
Keyword(s):  
Mathematical Model ◽  
Industrial Applications ◽  
Zinc Electrowinning

Numerical Simulation of Boiling Flows Using an Eulerian Multi-Fluid Model

2005 ◽  
Author(s):  
J. Han ◽  
D.-M. Wang ◽  
D. Filipi
Keyword(s):  
Mathematical Model ◽  
Fluid Model ◽  
Bubble Diameter ◽  
Interfacial Area ◽  
Nucleate Boiling ◽  
Industrial Applications ◽  
Turbulent Dispersion ◽  
Steady State Mode ◽  
Simple Method ◽  
Bubble Number

A mathematical model to simulate boiling flows in industrial applications is presented. Following the Eulerian multifluid framework, separate sets of mass, momentum, and energy conservation equations are solved for liquid and vapor phases, respectively. The interactions between the phases are accounted for by including relevant mass, momentum, heat exchanges and turbulent dispersion effects. Velocity-pressure coupling is achieved through a multiphase version of the SIMPLE method and the standard k-ε turbulence model is employed. In order to validate and assess the accuracy of the boiling model, subcooled nucleate boiling flows in a vertical annular pipe are simulated in the steady-state mode. The computed axial velocities, volume fractions, temperature profiles are compared with available experimental data (Roy et al., ASME J. of Heat Transfer, Vol. 119, 1997). The result obtained by assuming a constant value for the bubble diameter shows a reasonable agreement, but several limitations are observed in the details. A more advanced mathematical model incorporating separate transport equations for the bubble number density and the interfacial area is suggested.

A Novel Method of Obtaining Honing Tool Profile for Machining Gears With Profile Modifications

2020 ◽  
Vol 142 (9) ◽  
Author(s):  
Michał Batsch
Keyword(s):  
Mathematical Model ◽  
Design Process ◽  
High Precision ◽  
Prediction Error ◽  
Industrial Applications ◽  
Helical Gears ◽  
Profile Deviation ◽  
Tool Profile ◽  
Novel Method ◽  
Two Parameter

Abstract In this study, a mathematical model of the honing process for helical gears with external teeth was developed. The proposed novel method of obtaining the two-parameter envelope of a family of surfaces proved useful in simulated machining by means of a tool with a profile deviation. Based on performed simulations and industrial applications, it was found that this method can be useful in predicting the accuracy of machined gear and therefore can be used in the design process of honing tool for high precision aerospace gears. For the example provided, the average absolute prediction error of machined tooth profile was 0.28 µm.

scholarly journals Chatter model for enabling a digital twin in machining

2020 ◽  
Vol 110 (9-10) ◽  
pp. 2439-2444
Author(s):  
Shukri Afazov ◽  
Daniele Scrimieri
Keyword(s):  
Mathematical Model ◽  
Fourier Transform ◽  
Cutting Forces ◽  
Material Removal ◽  
Industrial Applications ◽  
Monitoring And Control ◽  
Machining Processes ◽  
Digital Twins ◽  
Process Monitoring And Control ◽  
And Control

Abstract This paper presents the development of a new chatter model using measured cutting forces instead of a mathematical model with empirical nature that describes them. The utilisation of measured cutting forces enables the prediction of real-time chatter conditions and stable machining. The chatter model is validated using fast Fourier transform (FFT) analyses for detection of chatter. The key contribution of the developed chatter model is that it can be incorporated in digital twins for process monitoring and control in order to achieve greater material removal rates and improved surface quality in future industrial applications involving machining processes.

scholarly journals Hardware in the Loop Implementation of the Oscillator-based Heart Model: A Framework for Testing Medical Devices

Electronics ◽  
2020 ◽  
Vol 9 (4) ◽  
pp. 571
Author(s):  
Chiara Di Mascio ◽  
Giambattista Gruosso
Keyword(s):  
Mathematical Model ◽  
Medical Devices ◽  
Real World ◽  
Clinical Result ◽  
Industrial Applications ◽  
Physical Models ◽  
Hardware In The Loop ◽  
Heart Model ◽  
The Real ◽  
Development And Validation

The hardware in the loop technologies allow to simulate physical models in combination with real devices in order to validate the behavior of the latter under different conditions, not easily reproducible in the real world. They are widely used in various industrial applications. In this work we want to extend the methodology to medical devices. These must interact with the patient to obtain the desired clinical result, however, during the development and validation phase of medical devices, the patient cannot be involved in the testing process. In this article the hardware in the loop methodology is proposed starting from a mathematical model of the heart, based on oscillators, that can be used to validate pacemakers or other medical devices.

scholarly journals Biojutiklių, modeliuojamų dvimatėje erdvėje, kompiuterinių modelių automatizuotas sudarymas

2008 ◽  
Vol 42 (43) ◽  
pp. 108-113
Author(s):  
Karolis Petrauskas ◽  
Romas Baronas
Keyword(s):  
Mathematical Model ◽  
Dimensional Space ◽  
Industrial Applications ◽  
Two Dimensional ◽  
Model Composition ◽  
Clinical Environment ◽  
Physical Experiments ◽  
Highly Sensitive ◽  
Target Analyte

Biojutikliai yra plačiai naudojami tirti medžiagų koncentracijai tirpaluose. Viena pagrindinių biojutiklio sudedamųjų dalių yra fermentas. Fermentai yra gana brangios medžiagos, dėl to ir vykdyti eksperimentus yra brangu. Kuriant naujus biojutiklius tenka atlikti daug eksperimentų. Kad būtų sumažintas reikiamų eksperimentų skaičius, taikomas kompiuterinis biojutiklių veiksmo modeliavimas. Dažniausiai konkrečios geometrijos biojutikliui kuriamas konkretus jo kompiuterinis modelis. Šiame straipsnyje pristatoma sistema, kuri gali prisitaikyti prie konkrečios geometrijos biojutiklio. Sistema gali būti taikoma biojutikliams, kurių veiksmas aprašomas matematiniais modeliais, formuluojamais dvimatėje stačiakampėje srityje. Konkretaus biojutiklio matematinio modelio sprendinys komponuojamas parenkant konkrečius algoritmus.Computer aided model composition for biosensors modelled in two-dimensional spaceKarolis Petrauskas, Romas Baronas SummaryBiosensors are analytical devices that use biological components, usually enzymes, which catalyse the interaction with a target analyte. Biosensors are widely used in clinical, environment and industrial applications for the determination of species concentrations. In some applications of biosensors, enzymes are very expensive and only available in very limited quantity. In design of novel highly sensitive biosensors a lot of experiments are required. Computer simulation of the biosensor action is an effective way to decrease a number of physical experiments. This paper presents a system adaptive to a concrete geometry of the biosensor. The system may be applied for biosensors, the action of which can be described by a mathematical model formulated in a two dimensional space. A simulator for a concrete biosensor is generated from the detailed description of the biosensor action.eight: 18px;"> 

Form follows function: estimation of CSF flow in the third ventricle–aqueduct–fourth ventricle complex modeled as a diffuser/nozzle pump

2020 ◽  
Vol 133 (3) ◽  
pp. 894-901 ◽  
Author(s):  
Pierluigi Longatti ◽  
Alessandro Fiorindi ◽  
Paolo Peruzzo ◽  
Luca Basaldella ◽  
Francesca Maria Susin
Keyword(s):  
Mathematical Model ◽  
Fourth Ventricle ◽  
Third Ventricle ◽  
Industrial Applications ◽  
Cine Mri ◽  
Function Estimation ◽  
Csf Dynamics ◽  
The Third ◽  
Hydraulic Impact ◽  
Pulsatile Pressure

OBJECTIVEIn the last 20 years, researchers have debated cerebrospinal fluid (CSF) dynamics theories, commonly based on the classic bulk flow perspective. New hypotheses do not consider a possible hydraulic impact of the ventricular morphology. The present study investigates, by means of a mathematical model, the eventual role played by the geometric shape of the “third ventricle–aqueduct–fourth ventricle” complex in CSF circulation under the assumption that the complex behaves like a diffuser/nozzle (DN) pump.METHODSDN pumps are quite recent devices introduced as valveless micropumps in various industrial applications given their property of driving net flow when subjected to rhythmic pulsations. A novel peculiar DN pump configuration was adopted in this study to mimic the ventricular complex, with two reservoirs (the ventricles) and one tube provided with a conical reach (the aqueduct–proximal fourth ventricle). The flow was modeled according to the classic equations of laminar flow, and the external rhythmic pulsations forcing the system were reproduced as a pulsatile pressure gradient between the chambers. Several physiological scenarios were implemented with the integration of data acquired by MRI in 10 patients with no known pathology of CSF dynamics, and a quantitative analysis of the effect of geometric and hydraulic parameters (diverging angle, sizes, frequency of pulsations) on the CSF net flow was performed.RESULTSThe results showed a craniocaudal net flow in all the given values, consistent with the findings of cine MRI studies. Moreover, the net flow estimated for the analyzed cohort of patients ranged from 0.221 to 0.505 ml/min, remarkably close to the values found on phase contrast cine MRI in healthy subjects. Sensitivity analysis underlines the pivotal role of the DN configuration, as well as of the frequency of forcing pressure, which promotes a relevant net flow considering both the heart and respiration rate.CONCLUSIONSThis work suggests that the geometry of the third ventricle–aqueduct–fourth ventricle complex, which resembles a diverter, appears to be functional in the generation of a net craniocaudal flow and potentially has an impact on CSF dynamics. These conclusions can be drawn by observing the analogies between the shape of the ventricles and the geometry of DN pumps and by recognizing the basis of the mathematical model of the simplified third ventricle–aqueduct–fourth ventricle complex proposed.

scholarly journals On the kinematics and synthesis of a geared five-bar slider–crank mechanism

2011 ◽  
Vol 225 (5) ◽  
pp. 1253-1261 ◽  
Author(s):  
I A Sultan ◽  
A Kalim
Keyword(s):  
Mathematical Model ◽  
Case Studies ◽  
Optimization Procedure ◽  
Industrial Applications ◽  
Levenberg Marquardt ◽  
Gradient Based ◽  
Motion Characteristics ◽  
Crank Mechanism

The geared five-bar mechanism possesses kinematic abilities that qualify its utility in various industrial applications. Small changes to the mechanism topology or dimensions create new designs with different motion characteristics. This article presents design-orientated kinematical insights and mathematical treatments for the embodiment of the mechanism in which the end gear is eccentrically pivoted to a sliding element. For its synthesis, a kinematic classification is introduced and approximate curves are used to guide the motion of the slider. A gradient-based Levenberg–Marquardt formulation is employed for the optimization procedure. Geometric, mobility, and dimensional constraints are utilized together with numerical position equations for the analysis. Two case studies are presented at the end of this article to highlight the versatility of the mechanism and prove the validity of the presented mathematical model.

scholarly journals Mathematical Model for Absolute Magnetic Measuring Systems in Industrial Applications

2015 ◽  
Vol 633 ◽  
pp. 012080
Author(s):  
Armin Fügenschuh ◽  
Marzena Fügenschuh ◽  
Marina Ludszuweit ◽  
Aleksandar Mojsic ◽  
Joanna Sokół
Keyword(s):  
Mathematical Model ◽  
Industrial Applications ◽  
Measuring Systems ◽  
Magnetic Measuring

Feasibility Study of the Use of Ground-Coupled Condensers in Industrial Thermal Management

2016 ◽  
Author(s):  
Ehsan M. Languri ◽  
Glenn Cunningham ◽  
Jie Cui ◽  
Stephen Idem
Keyword(s):  
Mathematical Model ◽  
Thermal Management ◽  
Closed Loop ◽  
Cooling System ◽  
Cooling Water ◽  
Industrial Applications ◽  
Coupled Systems ◽  
Tube Heat Exchanger ◽  
The Earth ◽  
Below Ground

A closed loop cooling system that uses the earth as a heat sink to dissipate heat for the energy system’s thermal management is described. The proposed cooling approach employs a concentric tube heat exchanger situated above ground to transfer heat from the system (e.g., power plant condenser) to a separate cooling water loop buried at a specified depth below ground. A parametric study was performed to evaluate the efficacy of the thermal management potential of ground-coupled systems in industrial applications. It revealed that such a condenser design is generally capable of dissipating less than 1.5 MW of heat. A mathematical model is developed to size the required piping for different systems.

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