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Lattice Boltzmann model for thermal transpiration.

G H Tang¹, Y H Zhang, X J Gu

¹Computational Science and Engineering Department, STFC Daresbury Laboratory, Warrington, WA4 4AD, United Kingdom. guihua.tang@stfc.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 28, 2009

Summary

A new lattice Boltzmann model simulates gas thermal transpiration, a phenomenon missed by conventional fluid dynamics equations. This efficient method offers a viable alternative to computationally intensive kinetic approaches for complex flows.

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Area of Science:

Computational fluid dynamics
Non-equilibrium thermodynamics
Kinetic theory of gases

Background:

Conventional Navier-Stokes-Fourier equations fail to model gas thermal transpiration.
Kinetic methods (DSMC, Boltzmann equation) are accurate but computationally expensive for complex 3D flows.
Need for efficient methods to simulate temperature-gradient-induced flows.

Purpose of the Study:

To develop a computationally efficient nonequilibrium thermal lattice Boltzmann model.
To simulate temperature-gradient-induced flows, specifically gas thermal transpiration.
To provide a practical alternative to complex kinetic simulations.

Main Methods:

Development of a nonequilibrium thermal lattice Boltzmann model.
Simulation of gas flows driven by temperature gradients.
Comparison of model results with established kinetic approaches.

Main Results:

The proposed lattice Boltzmann model successfully simulates gas thermal transpiration.
Model predictions show good agreement with results from kinetic methods.
Demonstrates the computational efficiency of the lattice Boltzmann approach.

Conclusions:

The developed lattice Boltzmann model is a capable and efficient tool for simulating thermal transpiration.
This method overcomes the computational limitations of traditional kinetic approaches for complex flows.
Offers a promising avenue for studying nonequilibrium phenomena in fluid dynamics.