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OVERVIEW

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  1. Ministry of Education and Science of the Russian FederationState Educational Institution of Higher Professional EducationNational Research Tomsk Polytechnic University Institute of Cybernetics Department: 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.

  2. OVERVIEW • Introduction • Covering equations • Modeling • Results • Conclusion • References

  3. INTRODUCTION

  4. COVERING EQUATIONS

  5. MODELING • Performance: • Diverse scientific tasks • Partial differential equations • Technique of finite elements

  6. MODELING • Modes: • Incompressible Navier-Stokes • Convection and Conduction • Weak Form, Boundary Fig.1. Mode selection.

  7. MODELING • Basic steps: • Subdomain settings • Boundary conditions • Mesh generation Fig.2 The vessel after mesh generation. Fig.3 Problem solving.

  8. RESULTS ∆T = 10-3K: NO temperature & velocity field correlation Fig.4. Temperature and velocity, ∆T = 10-3K.

  9. RESULTS ∆T = 2K: DISTINCT temperature & velocity field correlation Fig.5. Temperature and velocity, ∆T = 2K.

  10. CONCLUSION • Experimental study difficulties • Real system substitution • Temperature difference range calculation • Comsol Multiphysics modeling • Direct correlation of temperature and velocity field • Marangoni’s effect influence

  11. REFERENCES • Levich V.G. Physicochemical Hydrodynamics. – New Jersey: Prentice-Hall, 1962. • Егоров В.И. Применение ЭВМ для решения задач теплопроводности. Учебное пособие.– СПб: СПб ГУ ИТМО, 2006.- 4с. • Огородников А.С. Моделирование в среде Matlab – Comsol 3.5a. Часть 1: учебное пособие. Томск: Изд-во Томского политехнического университета, 2012. • Batchelor G.K. An Introduction to Fluid Dynamics. – Cambridge: Cambridge University Press, 1967. • 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. • Comsol Multiphysics [Электронный ресурс] / Model Gallery. – Режим доступа: http://www.comsol.com/, свободный. – Загл. с экрана. – Яз.англ. • Wikipedia, the free encyclopedia [Электронный ресурс] / Navier-Stokes equations. – Режим доступа: http://www.wikipedia.org/, свободный. – Загл. с экрана. – Яз.англ. • Physics Forums [Электронный ресурс] / Thermodynamics Energy balance Equation. – Режим доступа: http://www.physicsforums.com/, свободный. – Загл. с экрана. – Яз.англ. • Thermopedia [Электронный ресурс] / Archimede’s Force. – Режим доступа: http://www.thermopedia.com/, свободный. – Загл. с экрана. – Яз.англ. • Scholarpedia [Электронный ресурс] / Navier-Stokes Equations: Mathematical Properties. – Режим доступа: http://www.scholarpedia.com/, свободный. – Загл. с экрана. – Яз.англ.

  12. Ministry of Education and Science of the Russian FederationState Educational Institution of Higher Professional EducationNational Research Tomsk Polytechnic University Institute of Cybernetics Department: Applied Mathematics Specialization: Applied Mathematics and Informatics COMSOL MULTIPHYSICS SIMULATION OF MARANGONI CONVECTION Student’s contacts: ryabikina11@mail.ru, ryabikina11@gmail.com, as.tomsk@yahoo.com Student: Ryabikina A.S., Group: 8b90, Scientific advisor: Ogorodnikov A.S., Linguistic advisor: Kuznetsova I.N.