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Ministry of Education and Science of the Russian Federation
State Educational Institution of Higher Professional Education
National Research Tomsk Polytechnic University
Institute of CyberneticsDepartment: Applied Mathematics Specialization: Applied Mathematics and Informatics
COMSOL MULTIPHYSICS SIMULATION OF MARANGONI
CONVECTION
Student: Ryabikina A.S., Group: 8b90,
Scientific advisor: Ogorodnikov A.S.,Linguistic advisor: Kuznetsova I.N.
OVERVIEW
• Introduction Introduction • Covering equationsCovering equations• ModelingModeling• ResultsResults• Conclusion Conclusion • References References
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Features:Features:•Surface tensionSurface tension•LLiquid-air iquid-air interfaceinterface Modeling Modeling
technique:technique:•MetalsMetals•High temperaturesHigh temperatures•Real system Real system substitutionsubstitution•Silicone oil fillingSilicone oil filling•Known propertiesKnown properties
Dependance:Dependance:•SSpecies pecies concentration concentration •TTemperature emperature distributiondistribution
INTRODUCTION
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COVERING EQUATIONS
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MODELING
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Performance:Performance:
•Diverse scientific Diverse scientific taskstasks
•Partial differential Partial differential equationsequations
•Technique of finite Technique of finite elementselements
MODELING
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Fig.1. Fig.1. Mode selection.Mode selection.
Modes:Modes:
•Incompressible Incompressible Navier-StokesNavier-Stokes
•Convection and Convection and ConductionConduction
•Weak Form, Weak Form, BoundaryBoundary
MODELING
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Fig.2 Fig.2 The vessel after mesh The vessel after mesh generation.generation.
Basic steps:Basic steps:
•Subdomain Subdomain settingssettings
•Boundary Boundary conditionsconditions
•Mesh generationMesh generation
Fig.3 Fig.3 Problem solving.Problem solving.
RESULTS
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Fig.4. Fig.4. Temperature and Temperature and velocity, ∆T = 10velocity, ∆T = 10-3-3K.K.
∆∆T = 10T = 10-3-3K:K:
NONO temperature temperature & velocity field & velocity field
correlationcorrelation
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Fig.5. Fig.5. Temperature and Temperature and velocity, ∆T = 2K.velocity, ∆T = 2K.
RESULTS
∆∆T = 2K:T = 2K:
DISTINCTDISTINCT temperature & temperature & velocity field velocity field correlationcorrelation
CONCLUSION
• Experimental study difficultiesExperimental study difficulties• Real system substitutionReal system substitution• Temperature difference range Temperature difference range
calculationcalculation• Comsol Multiphysics modelingComsol Multiphysics modeling• Direct correlation of temperature and Direct correlation of temperature and
velocity fieldvelocity field• Marangoni’s effect influenceMarangoni’s effect influence
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REFERENCES
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1. Levich V.G. Physicochemical Hydrodynamics. – New Jersey: Prentice-Hall, 1962.2. Егоров В.И. Применение ЭВМ для решения задач теплопроводности. Учебное
пособие.– СПб: СПб ГУ ИТМО, 2006.- 4с.3. Огородников А.С. Моделирование в среде Matlab – Comsol 3.5a. Часть 1: учебное
пособие. Томск: Изд-во Томского политехнического университета, 2012.4. Batchelor G.K. An Introduction to Fluid Dynamics. – Cambridge: Cambridge University Press,
1967.5. Space Science News Archive [Электронный ресурс] / Physical Simulation of Marangoni
Convection in Weld Pools . – Режим доступа: http://www.spacescience.spaceref.com/, свободный. – Загл. с экрана. - Яз.англ.
6. Comsol Multiphysics [Электронный ресурс] / Model Gallery. – Режим доступа: http://www.comsol.com/, свободный. – Загл. с экрана. – Яз.англ.
7. Wikipedia, the free encyclopedia [Электронный ресурс] / Navier-Stokes equations. – Режим доступа: http://www.wikipedia.org/, свободный. – Загл. с экрана. – Яз.англ.
8. Physics Forums [Электронный ресурс] / Thermodynamics Energy balance Equation. – Режим доступа: http://www.physicsforums.com/, свободный. – Загл. с экрана. – Яз.англ.
9. Thermopedia [Электронный ресурс] / Archimede’s Force. – Режим доступа: http://www.thermopedia.com/, свободный. – Загл. с экрана. – Яз.англ.
10. Scholarpedia [Электронный ресурс] / Navier-Stokes Equations: Mathematical Properties. – Режим доступа: http://www.scholarpedia.com/, свободный. – Загл. с экрана. – Яз.англ.
Ministry of Education and Science of the Russian Federation
State Educational Institution of Higher Professional Education
National Research Tomsk Polytechnic University
Institute of CyberneticsDepartment: Applied Mathematics Specialization: Applied Mathematics and Informatics
COMSOL MULTIPHYSICS SIMULATION OF MARANGONI
CONVECTIONStudent’s contacts:[email protected],[email protected],[email protected]
Student: Ryabikina A.S., Group: 8b90,Scientific advisor: Ogorodnikov A.S.,Linguistic advisor: Kuznetsova I.N.