Cover Image

Mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid

Fluid flow and heat transfer play a significant factor in industrial processes, manufacturing and engineering applications. Therefore, a model is needed to enhance the process of fluid flow and heat transfer, as the final products are heavily reliant upon the kinematics of the flow and the simultane...

Full description

Saved in:
Bibliographic Details
Main Author: Norhafizah, Md Sarif
Format: Thesis
Language:English
Published: 2018
Subjects:
TA Engineering (General). Civil engineering (General)
Online Access:http://umpir.ump.edu.my/id/eprint/29238/1/Mathematical%20modelling%20of%20convective%20flow%20over%20a%20horizontal%20circular%20cylinder%20with%20convective%20boundary%20conditions%20in%20viscous.wm.pdf
http://umpir.ump.edu.my/id/eprint/29238/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.ump.umpir.29238
record_format eprints
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic TA Engineering (General). Civil engineering (General)
spellingShingle TA Engineering (General). Civil engineering (General)
Norhafizah, Md Sarif
Mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid
description Fluid flow and heat transfer play a significant factor in industrial processes, manufacturing and engineering applications. Therefore, a model is needed to enhance the process of fluid flow and heat transfer, as the final products are heavily reliant upon the kinematics of the flow and the simultaneous heating or cooling. However, the mathematical description of fluid flow and heat transfer specifically in geometry of horizontal circular cylinder are quite difficult to solve due to the nonlinearity existence and coupled equations. Indeed, obtaining an analytical solution requires additional effort and time meanwhile to setup an experiment is costly. In such a case, numerical methods provide means to solve the problem. Therefore, the governing equation of fluid flow and heat transfer together with the boundary conditions are solved numerically. Normally when modelling convection flow, many researchers applied constant wall temperature or constant heat flux in the boundary conditions. Nevertheless, these types of boundary conditions appear insufficient to adequately describe the heating process for some cases. Another type of boundary condition; where convection heats the bottom surface of the cylinder are applied in this study. This type of heating process is called convective boundary condition. Motivated by this newly type of boundary condition, the numerical scheme derived in this research is anticipated to provide a theoretical reference to other analytical solution or for future experimental work. Five different problems of fluid flow and heat transfer have been considered by incorporating convective boundary conditions as thermal heating. Accordingly, these mathematical models are then derived for steady laminar forced, free, and mixed convection boundary layer flows over a horizontal circular cylinder immersed in three types of fluid namely viscous, micropolar fluid and nanofluid. The governing parabolic partial differential equations describing the flow are transformed using non-similar transformation, which is then solved numerically using the unconditionally stable implicit finite difference scheme known as the Keller-box method. The numerical codes in the form of computer programmes are developed using MATLAB software. The numerical results obtained consists of velocity, temperature, nanoparticle volume fraction profiles, skin friction and heat transfer for various parameters of physical conditions such as convective, mixed convection, Lewis number, porosity parameters, as well as Prandtl number. It was observed that in all considered problems, the profiles of velocity and temperature profiles increase for increased values of convective boundary conditions. In the case of nanofluids, the values of nanoparticle volume fraction profile increases with with the increment on the values of convective boundary condition. Correspondingly, as the value of convective parameter increases, the skin friction coefficient increase as well except for nanofluid where the convective parameter decreased in both cases; Tiwari and Das, and Buongiorno. However for heat transfer coefficient and Nusselt number, it was observed that the effects of convective parameter has increased significantly. In conclusion, by applying the convective boundary condition over a horizontal circular cylinder, it is found that the trend of the solutions obtained for the convective boundary condition case is similar to the constant wall temperature case, especially when convective parameter γ →∞.
format Thesis
author Norhafizah, Md Sarif
author_facet Norhafizah, Md Sarif
author_sort Norhafizah, Md Sarif
title Mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid
title_short Mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid
title_full Mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid
title_fullStr Mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid
title_full_unstemmed Mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid
title_sort mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid
publishDate 2018
url http://umpir.ump.edu.my/id/eprint/29238/1/Mathematical%20modelling%20of%20convective%20flow%20over%20a%20horizontal%20circular%20cylinder%20with%20convective%20boundary%20conditions%20in%20viscous.wm.pdf
http://umpir.ump.edu.my/id/eprint/29238/
_version_ 1762392390975356928
spelling my.ump.umpir.292382023-03-30T23:50:32Z http://umpir.ump.edu.my/id/eprint/29238/ Mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid Norhafizah, Md Sarif TA Engineering (General). Civil engineering (General) Fluid flow and heat transfer play a significant factor in industrial processes, manufacturing and engineering applications. Therefore, a model is needed to enhance the process of fluid flow and heat transfer, as the final products are heavily reliant upon the kinematics of the flow and the simultaneous heating or cooling. However, the mathematical description of fluid flow and heat transfer specifically in geometry of horizontal circular cylinder are quite difficult to solve due to the nonlinearity existence and coupled equations. Indeed, obtaining an analytical solution requires additional effort and time meanwhile to setup an experiment is costly. In such a case, numerical methods provide means to solve the problem. Therefore, the governing equation of fluid flow and heat transfer together with the boundary conditions are solved numerically. Normally when modelling convection flow, many researchers applied constant wall temperature or constant heat flux in the boundary conditions. Nevertheless, these types of boundary conditions appear insufficient to adequately describe the heating process for some cases. Another type of boundary condition; where convection heats the bottom surface of the cylinder are applied in this study. This type of heating process is called convective boundary condition. Motivated by this newly type of boundary condition, the numerical scheme derived in this research is anticipated to provide a theoretical reference to other analytical solution or for future experimental work. Five different problems of fluid flow and heat transfer have been considered by incorporating convective boundary conditions as thermal heating. Accordingly, these mathematical models are then derived for steady laminar forced, free, and mixed convection boundary layer flows over a horizontal circular cylinder immersed in three types of fluid namely viscous, micropolar fluid and nanofluid. The governing parabolic partial differential equations describing the flow are transformed using non-similar transformation, which is then solved numerically using the unconditionally stable implicit finite difference scheme known as the Keller-box method. The numerical codes in the form of computer programmes are developed using MATLAB software. The numerical results obtained consists of velocity, temperature, nanoparticle volume fraction profiles, skin friction and heat transfer for various parameters of physical conditions such as convective, mixed convection, Lewis number, porosity parameters, as well as Prandtl number. It was observed that in all considered problems, the profiles of velocity and temperature profiles increase for increased values of convective boundary conditions. In the case of nanofluids, the values of nanoparticle volume fraction profile increases with with the increment on the values of convective boundary condition. Correspondingly, as the value of convective parameter increases, the skin friction coefficient increase as well except for nanofluid where the convective parameter decreased in both cases; Tiwari and Das, and Buongiorno. However for heat transfer coefficient and Nusselt number, it was observed that the effects of convective parameter has increased significantly. In conclusion, by applying the convective boundary condition over a horizontal circular cylinder, it is found that the trend of the solutions obtained for the convective boundary condition case is similar to the constant wall temperature case, especially when convective parameter γ →∞. 2018-12 Thesis NonPeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/29238/1/Mathematical%20modelling%20of%20convective%20flow%20over%20a%20horizontal%20circular%20cylinder%20with%20convective%20boundary%20conditions%20in%20viscous.wm.pdf Norhafizah, Md Sarif (2018) Mathematical modelling of convective flow over a horizontal circular cylinder with convective boundary conditions in viscous, micropolar and nanofluid. PhD thesis, Universiti Malaysia Pahang (Contributors, Thesis advisor: Mohd Zuki, Salleh).
score 13.211869

Similar Items