Kinetic Theory.

Slides:



Advertisements
Similar presentations
Lecture 15: Capillary motion
Advertisements

Navier-Stokes.
Continuity Equation. Continuity Equation Continuity Equation Net outflow in x direction.
Effects of Bulk Viscosity on p T -Spectra and Elliptic Flow Parameter Akihiko Monnai Department of Physics, The University of Tokyo, Japan Collaborator:
MHD Concepts and Equations Handout – Walk-through.
Plasma Astrophysics Chapter 3: Kinetic Theory Yosuke Mizuno Institute of Astronomy National Tsing-Hua University.
We consider a dilute gas of N atoms in a box in the classical limit Kinetic theory de Broglie de Broglie wave length with density classical limit high.
Fluid equations, magnetohydrodynamics Multi-fluid theory Equation of state Single-fluid theory Generalised Ohm‘s law Magnetic tension and plasma beta Stationarity.
Thermo & Stat Mech - Spring 2006 Class 14 1 Thermodynamics and Statistical Mechanics Kinetic Theory of Gases.
Kinetic Theory of Gasses Physics 102 Professor Lee Carkner Lecture 4.
2-1 Problem Solving 1. Physics  2. Approach methods
Chapter 3. Transport Equations The plasma flows in planetary ionospheres can be in equilibrium (d/dt = 0), like the midlatitude terrestrial ionosphere,
A k-  model for turbulently thermal convection in solar like and RGB stars Li Yan Yunnan Astronomical Observatory, CAS.
Fluid Flow. Pressure Force  Each volume element in a fluid is subject to force due to pressure. Assume a rectangular boxAssume a rectangular box Pressure.
Viscosity. Average Speed The Maxwell-Boltzmann distribution is a function of the particle speed. The average speed follows from integration.  Spherical.
Elements of kinetic theory Introduction Phase space density Equations of motion Average distribution function Boltzmann-Vlasov equation Velocity distribution.
Deriving the Kinetic Theory Equation Thermal Physics Lesson 6.
Linear Momentum and Collisions المحاضرة العاشرة. Linear Momentum and Collisions Chapter 9.
Chapter 7 Linear Momentum. Chapter Momentum Linear Momentum- product of mass times velocity p=mvp=momentum units=kg.m/sec Restate Newton’s second.
Aerodynamics Linear Motion (Moving Air ).
Kinetic energy Derivation of kinetic energy. Kinetic Energy 2 starting equations F = m x a (Newton’s 2 nd law) W = Force x distance.
Conservation of mass If we imagine a volume of fluid in a basin, we can make a statement about the change in mass that might occur if we add or remove.
Energy momentum tensor of macroscopic bodies Section 35.
Ap Physics Week of October 18 th – 22 nd October 18 th : Rotational Motion under Constant Acceleration / Relations between Angular and Linear Quantities.
Yoon kichul Department of Mechanical Engineering Seoul National University Multi-scale Heat Conduction.
AE 2350 Lecture Notes #6 April 19, 1999 We have studied... Meaning of Incompressible Flow How and why speed of the flow affects compressibility Streamlines.
Chemistry is… …a systematic study (science) …the study of the composition and properties of matter. …the study of the reactivity of substances …the study.
Chemical Interactions Vocabulary. Investigation #4 Kinetic Energy.
Kinetic Molecular Theory & Gas Laws It’s all about the particles.
Object of Plasma Physics
MAE 4262: ROCKETS AND MISSION ANALYSIS Conservation Equations and Examples Mechanical and Aerospace Engineering Department Florida Institute of Technology.
2. Brownian Motion 1.Historical Background 2.Characteristic Scales Of Brownian Motion 3.Random Walk 4.Brownian Motion, Random Force And Friction: The Langevin.
Mechanical Energy Balance
Heat and States of Matter
Quantification of the Infection & its Effect on Mean Fow.... P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Modeling of Turbulent.
Lecture 3. Full statistical description of the system of N particles is given by the many particle distribution function: in the phase space of 6N dimensions.
Entropy Change (at Constant Volume) For an ideal gas, C V (and C P ) are constant with T. But in the general case, C V (and C P ) are functions of T. Then.
1 Semester Review EP I. 2 1 Vector Addition Graphical Algebraic.
An Introduction to Statistical Thermodynamics. ( ) Gas molecules typically collide with a wall or other molecules about once every ns. Each molecule has.
Vocabulary Set #1. Condensation the process of changing from a gas to a liquid.
USSC2001 Energy Lecture 3 Thermodynamics of Heat Wayne M. Lawton Department of Mathematics National University of Singapore 2 Science Drive 2 Singapore.
Computational Astrophysics: Magnetic Fields and Charged Particle Dynamics 8-dec-2008.
Kinetic and Thermal Energy. Energy ***ENERGY DURING PHASES CHANGES – Energy must be lost to the environment or gained from the environment in order for.
Introduction to Plasma Physics and Plasma-based Acceleration
TEC Short introduction to plasma fluid theory Dominik Schega.
General Physics 1 Hongqun Zhang The Department of Physics, Beijing Normal University June 2005.
Measurements SI base unit.
Continuum Mechanics (MTH487)
Formation of universe, blackhole and 1st order phase transition
Boltzmann Transport Equation for Particle Transport
Stochastic Acceleration in Turbulence:
Chapter 3 Plasma as fluids
Lecture Rigid Body Dynamics.
Special Theory of Relativity
Solid, Liquid, Gas.
Kinetic Theory.
Lecture 41 Statistical Mechanics and Boltzmann factor
Ideal Gases Kinetic Theory of Gases
Ch 2 - Kinetic Theory reinisch_
phase space deforms but maintains its area.
Find the velocity of a particle with the given position function
average speed, distance and time:
Section 16 Thermal Energy.
Kinetic Theory.
5. Describing Flow CH EN 374: Fluid Mechanics.
phase space deforms but maintains its area.
Units – SI Units (1) David Bailey © Class Leading Ltd. 2013
ENERGY Energy J Kinetic Energy J Elastic potential energy J Ek Ee E
Units – SI Units (4) David Bailey © Class Leading Ltd. 2013
Presentation transcript:

Kinetic Theory

Particle Distribution Function

Density Function ns Number density, mass density, charge density

The Boltzmann Equation: time variation of a distribution function

Total Derivative in Phase Space

Examples of Distribution Functions

Maxwellian Distribution Functions

One-dimensional Maxwellian, cont’d

Thermal speed

Equilibrium Distribution charge x voltage = energy

Velocity Moments

Bulk flow velocity

Pressure tensor

Scalar pressure

Heat Flux

Continuity equation: 0th moment of B-equation

Momentum Equation: 1st moment of B-equation

The momentum equation

Pressure Gradient Force

Pressure as Thermal Energy Density

Charge and Current Densities

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.