Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer

In this thesis, a method of lattice Boltzmann is introduced. Lattice Boltzmann method (LBM) is a class of computational fluid dynamics (CFD) methods for fluid simulation. Objective of this thesis is to develop finite difference lattice Boltzmann scheme for the natural convection heat transfer. Unlik...

Full description

Bibliographic Details
Main Author:	Siti Aishah-Awanis, Mohd Yusoff
Format:	Undergraduates Project Papers
Language:	English
Published:	2009
Subjects:	TA Engineering (General). Civil engineering (General)
Online Access:	http://umpir.ump.edu.my/id/eprint/1106/ http://umpir.ump.edu.my/id/eprint/1106/ http://umpir.ump.edu.my/id/eprint/1106/4/Finite%20Difference%20of%20Thermal%20Lattice%20Boltzmann%20Scheme%20for%20the%20Simulation%20of%20%20Natural%20Convection%20Heat%20Transfer.pdf

id	ump-1106
recordtype	eprints
spelling	ump-11062017-02-27T08:08:52Z http://umpir.ump.edu.my/id/eprint/1106/ Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer Siti Aishah-Awanis, Mohd Yusoff TA Engineering (General). Civil engineering (General) In this thesis, a method of lattice Boltzmann is introduced. Lattice Boltzmann method (LBM) is a class of computational fluid dynamics (CFD) methods for fluid simulation. Objective of this thesis is to develop finite difference lattice Boltzmann scheme for the natural convection heat transfer. Unlike conventional CFD methods, the lattice Boltzmann method is based on microscopic models and macroscopic kinetic equation. The lattice Boltzmann equation (LBE) method has been found to be particularly useful in application involving interfacial dynamics and complex boundaries. First, the general concept of the lattice Boltzmann method is introduced to understand concept of Navier-Strokes equation. The isothermal and thermal lattices Boltzmann equation has been directly derived from the Boltzmann equation by discretization in both time and phase space. Following from this concept, a few simple isothermal flow simulations which are Poiseulle flow and Couette flow were done to show the effectiveness of this method. Beside, numerical result of the simulations of Porous Couette flow and natural convection in a square cavity are presented in order to validate these new thermal models. Lastly, the discretization procedure of Lattice Boltzmann Equation (LBE) is demonstrated with finite difference technique. The temporal discretization is obtained by using second order Rungge-Kutta (modified) Euler method from derivation of governing equation. The discussion and conclusion will be presented in chapter five. 2009-11 Undergraduates Project Papers NonPeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/1106/4/Finite%20Difference%20of%20Thermal%20Lattice%20Boltzmann%20Scheme%20for%20the%20Simulation%20of%20%20Natural%20Convection%20Heat%20Transfer.pdf Siti Aishah-Awanis, Mohd Yusoff (2009) Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer. Faculty of Mechanical Engineering, Universiti Malaysia Pahang . http://iportal.ump.edu.my/lib/item?id=chamo:45843&theme=UMP2
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	TA Engineering (General). Civil engineering (General)
spellingShingle	TA Engineering (General). Civil engineering (General) Siti Aishah-Awanis, Mohd Yusoff Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer
description	In this thesis, a method of lattice Boltzmann is introduced. Lattice Boltzmann method (LBM) is a class of computational fluid dynamics (CFD) methods for fluid simulation. Objective of this thesis is to develop finite difference lattice Boltzmann scheme for the natural convection heat transfer. Unlike conventional CFD methods, the lattice Boltzmann method is based on microscopic models and macroscopic kinetic equation. The lattice Boltzmann equation (LBE) method has been found to be particularly useful in application involving interfacial dynamics and complex boundaries. First, the general concept of the lattice Boltzmann method is introduced to understand concept of Navier-Strokes equation. The isothermal and thermal lattices Boltzmann equation has been directly derived from the Boltzmann equation by discretization in both time and phase space. Following from this concept, a few simple isothermal flow simulations which are Poiseulle flow and Couette flow were done to show the effectiveness of this method. Beside, numerical result of the simulations of Porous Couette flow and natural convection in a square cavity are presented in order to validate these new thermal models. Lastly, the discretization procedure of Lattice Boltzmann Equation (LBE) is demonstrated with finite difference technique. The temporal discretization is obtained by using second order Rungge-Kutta (modified) Euler method from derivation of governing equation. The discussion and conclusion will be presented in chapter five.
format	Undergraduates Project Papers
author	Siti Aishah-Awanis, Mohd Yusoff
author_facet	Siti Aishah-Awanis, Mohd Yusoff
author_sort	Siti Aishah-Awanis, Mohd Yusoff
title	Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer
title_short	Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer
title_full	Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer
title_fullStr	Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer
title_full_unstemmed	Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer
title_sort	finite difference of thermal lattice boltzmann scheme for the simulation of natural convection heat transfer
publishDate	2009
url	http://umpir.ump.edu.my/id/eprint/1106/ http://umpir.ump.edu.my/id/eprint/1106/ http://umpir.ump.edu.my/id/eprint/1106/4/Finite%20Difference%20of%20Thermal%20Lattice%20Boltzmann%20Scheme%20for%20the%20Simulation%20of%20%20Natural%20Convection%20Heat%20Transfer.pdf
first_indexed	2023-09-18T21:53:57Z
last_indexed	2023-09-18T21:53:57Z
_version_	1777413954440527872

Finite difference of thermal lattice Boltzmann scheme for the simulation of natural convection heat transfer

Similar Items