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Numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / Wong Hon Fei

Thermal fluid is a branch of science and engineering that covers the application of experimental research and mathematical modeling based on fundamental laws from physics, heat transfer and fluid dynamics. The great significance of thermal fluids can be seen in phase transition and chemical reaction...

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Main Author: Wong , Hon Fei
Format: Thesis
Published: 2021
Subjects:
Q Science (General)
QC Physics
Online Access:http://studentsrepo.um.edu.my/14058/2/Wong_Hon_Fei.pdf
http://studentsrepo.um.edu.my/14058/1/Wong_Hon_Fei.pdf
http://studentsrepo.um.edu.my/14058/
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spelling my.um.stud.140582024-09-26T05:25:32Z Numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / Wong Hon Fei Wong , Hon Fei Q Science (General) QC Physics Thermal fluid is a branch of science and engineering that covers the application of experimental research and mathematical modeling based on fundamental laws from physics, heat transfer and fluid dynamics. The great significance of thermal fluids can be seen in phase transition and chemical reactions. Perhaps two-dimensional lid-driven model is the simplest model to demonstrate the study of the thermal fluids. The behavior of fluid that filled inside the lid-driven cavity when subject to different boundary conditions (free-slip and no-slip), different aspect ratios and different steady-state criteria are studied extensively. The partial differential equations of time-dependent vorticity-stream function and thermal energy equation are discretized and solved using finite difference method. All the codes were written and solved inside Matlab® environment and the results were verified using commercial engineering simulation software named Ansys Fluent®. For the first study, an analysis of time dependent stream-function of fluid to identify patterns of forming, merging and unmerging of additional eddy is presented when steady-state condition with different criteria are achieved. Due to numerical error, it is also observed that the value of stream function begins to drop and streamline distribution changes shape after achieving steady-state criterion of . Also, damage of merging and formation of additional eddy happens until the free-slip boundary condition effect passes the threshold value. For the second study, the iteration process focuses on dissipation of viscous-heating through a transient conduction process of the entire liquid filled inside the lid-driven 6 10  e cavity. The time–dependent fluid flow and heat transfer with viscous heating process are depicted by contour plot and image plot inside Matlab® environment. For the third study, Robin boundary condition is adopted rather than Neumann boundary condition which employed in the second study. Moreover, heat transfer analysis is extended to cooling process in the third study. The effects of viscous heating coupled with several other physical parameters, namely Reynolds, Prandtl, Peclet and other numbers are examined. Finally, a simple graphical user interface is developed using Matlab® to facilitate the end user in analyzing the fluid flow. 2021-06 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/14058/2/Wong_Hon_Fei.pdf application/pdf http://studentsrepo.um.edu.my/14058/1/Wong_Hon_Fei.pdf Wong , Hon Fei (2021) Numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / Wong Hon Fei. PhD thesis, Universiti Malaya. http://studentsrepo.um.edu.my/14058/
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Student Repository
url_provider http://studentsrepo.um.edu.my/
topic Q Science (General)
QC Physics
spellingShingle Q Science (General)
QC Physics
Wong , Hon Fei
Numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / Wong Hon Fei
description Thermal fluid is a branch of science and engineering that covers the application of experimental research and mathematical modeling based on fundamental laws from physics, heat transfer and fluid dynamics. The great significance of thermal fluids can be seen in phase transition and chemical reactions. Perhaps two-dimensional lid-driven model is the simplest model to demonstrate the study of the thermal fluids. The behavior of fluid that filled inside the lid-driven cavity when subject to different boundary conditions (free-slip and no-slip), different aspect ratios and different steady-state criteria are studied extensively. The partial differential equations of time-dependent vorticity-stream function and thermal energy equation are discretized and solved using finite difference method. All the codes were written and solved inside Matlab® environment and the results were verified using commercial engineering simulation software named Ansys Fluent®. For the first study, an analysis of time dependent stream-function of fluid to identify patterns of forming, merging and unmerging of additional eddy is presented when steady-state condition with different criteria are achieved. Due to numerical error, it is also observed that the value of stream function begins to drop and streamline distribution changes shape after achieving steady-state criterion of . Also, damage of merging and formation of additional eddy happens until the free-slip boundary condition effect passes the threshold value. For the second study, the iteration process focuses on dissipation of viscous-heating through a transient conduction process of the entire liquid filled inside the lid-driven 6 10  e cavity. The time–dependent fluid flow and heat transfer with viscous heating process are depicted by contour plot and image plot inside Matlab® environment. For the third study, Robin boundary condition is adopted rather than Neumann boundary condition which employed in the second study. Moreover, heat transfer analysis is extended to cooling process in the third study. The effects of viscous heating coupled with several other physical parameters, namely Reynolds, Prandtl, Peclet and other numbers are examined. Finally, a simple graphical user interface is developed using Matlab® to facilitate the end user in analyzing the fluid flow.
format Thesis
author Wong , Hon Fei
author_facet Wong , Hon Fei
author_sort Wong , Hon Fei
title Numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / Wong Hon Fei
title_short Numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / Wong Hon Fei
title_full Numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / Wong Hon Fei
title_fullStr Numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / Wong Hon Fei
title_full_unstemmed Numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / Wong Hon Fei
title_sort numerical solution of partial differential equations for lid-driven fluid flow and heat transfer analysis with no-slip and free-slip effects / wong hon fei
publishDate 2021
url http://studentsrepo.um.edu.my/14058/2/Wong_Hon_Fei.pdf
http://studentsrepo.um.edu.my/14058/1/Wong_Hon_Fei.pdf
http://studentsrepo.um.edu.my/14058/
_version_ 1814047807201345536
score 13.211869

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