Lattice Boltzmann method for heat diffusion in axis-symmetric geometries
by A.A. Mohamad
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 9, No. 8, 2009

Abstract: Lattice Boltzmann Methods (LBM) have been used to solve momentum, heat and mass transport equations mainly in Cartesian coordinate system. In the present work, the LBM is extended to solve transports in axis-symmetric geometries, such as pipes and spheres. Heat diffusion and conduction in solids without and with heat generation were tested. The heat diffusion equation for axis-symmetric problem is reduced to diffusion equation as in Cartesian coordinate with an extra term due to the surface area variation along the radial direction. The extra term is treated as a source term (forcing term) in LBM. The extra term can be approximated by using finite difference or more accurately as a flux term. The results predicted by LBM are well compared with analytical solutions and finite volume method.

Online publication date: Mon, 10-Aug-2009

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the Progress in Computational Fluid Dynamics, An International Journal (PCFD):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com