KCETA Seminar with Prof. Dr. Felix Sharipov

May 6, 2024, 9:00 AM → May 8, 2024, 3:30 PM Europe/Berlin

Vacuum Science and Technology – Rarified gas dynamics

Prof. Dr. Felix Sharipov (Federal University of Paraná)

Abstract

Prof. Dr. Felix Sharipov is the world-wide leading expert in rarified gas dynamics. We have been able to win him over to give a three days course on vacuum science and technology. The program of the course will cover topics from basics of rarified gas dynamics to specific phenomena of different flow regimes. Wie will start with the definition and calculation of parameters like molecular fee path, rarefaction etc. and the definition of the flow regimes. When these things are clear, the flow regime specific effects like the velocity slip, temperature jump and thermal creep are discussed. I addition we will talk about gas surface interactions. On the last day, we will learn how to model gas flows with the Direct Simulation Monte Carlo method (DSMC).

Please register until May 1, 2024.

The course will be held at Campus North, Bldg. 401, seminar room 410.

If you have to cancel your participation after registration, please modify your registration or send an email to Raquel Lujan.

Please note that you must have attended the entire seminar to be added to your KSETA Transcript.

Slides and Material for the Seminar

Monday, May 6

9:00 AM → 12:00 PM Lecture 1: Basics in kinetic theory, vacuum gas dynamics

• Macroscopic state variables.
• Mechanics of continuous media and its restriction.
• Concept of dilute gas and conditions of its applicability.
• Mean free path and equivalent free path.
• Rarefaction parameter and Knudsen number.
• Velocity distribution function.
• Boltzmann equation.
• Main properties of the Boltzmann equation: collision invariants, H-theorem.
• Maxwellian distribution function, most probable speed, and thermal speed.
• Linearized Boltzmann equation.
• Transport coefficients: viscosity, thermal conductivity, diffusion, and thermal diffusion.
• Model equations.
• Velocity slip and temperature jump coefficients.

10:30 AM → 10:45 AM Coffee Break

12:00 PM → 2:00 PM Break

2:00 PM → 3:30 PM Questions and Practical Exercises Lecture 1

Tuesday, May 7

9:00 AM → 10:25 AM Lecture 2: Gas-surface interaction

• Scattering kernel and its general properties: normalization and reciprocity.
• Accommodation coefficients.
• Diffuse-specular kernel. Its advantages and shortcomings.
• Cercignani-Lampis kernel. Its advantages and shortcomings.
• Influence on transport phenomena.
• Experimental values of accommodation coefficients.
• Boundary conditions with evaporation and condensation.

10:25 AM → 10:40 AM Coffee Break

10:40 AM → 12:00 PM Lecture 3: DSMC

• Generation of specific distribution functions
• Simulation of gas-surface interaction: diffuse-specular, and Cercignani-Lampis kernels
• Simulation of intermolecular collisions
• Calculation of macroscopic quantities
• Statistical scatter and other errors.

12:00 PM → 2:00 PM Break

2:00 PM → 3:30 PM Questions and Practical Exercises Lecture 2 and 3

Wednesday, May 8

9:00 AM → 12:00 PM Lecture 4: Applications in free-molecular regime, slip, and transitional regime

• Poiseuille flow and thermal creep through pipes and channels.
• Orifice and slit flow.
• External flows: drag, thermophoresis, photophoresis.
• Couette flow.
• Heat transfer.
• Shock wave structure.

10:30 AM → 10:45 AM Coffee Break

12:00 PM → 2:00 PM Break

2:00 PM → 3:30 PM Questions and Practical Exercises Lecture 4