Numerical solutions for casson and williamson nanofluids over a stretching sheet

The unique characteristic of non-Newtonian fluids is that they do not obey the Newtonian law of viscosity. With the rheological behaviour properties, the classical Navier Stokes equations are no longer appropriate to define all the non-Newtonian fluids. Non-Newtonian fluids can be defined in several...

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Main Author:	Kho, Yap Bing
Format:	Thesis
Language:	English
Published:	2018
Subjects:	Q Science (General) QC Physics
Online Access:	http://umpir.ump.edu.my/id/eprint/23263/1/Numerical%20solutions%20for%20casson%20and%20williamson%20nanofluids%20over%20a%20stretching%20sheet.wm.pdf
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spelling	my-ump-ir.232632023-05-24T03:39:10Z Numerical solutions for casson and williamson nanofluids over a stretching sheet 2018-05 Kho, Yap Bing Q Science (General) QC Physics The unique characteristic of non-Newtonian fluids is that they do not obey the Newtonian law of viscosity. With the rheological behaviour properties, the classical Navier Stokes equations are no longer appropriate to define all the non-Newtonian fluids. Non-Newtonian fluids can be defined in several categories like visco-elastic, time-dependent viscosity and non-Newtonian viscosity. Such fluids are oils, ketchup, food paste, paints and colloidal solutions. Non-Newtonian fluids have gained much attraction due to their better performance in industrial and technological applications compared to Newtonian fluids. In this study, there are two types of non-Newtonian fluids, namely, the Casson and Williamson nanofluids, were selected to be investigated. Meanwhile, several types of boundary conditions studied were constant wall temperature, Newtonian heating and slip conditions. Other conditions considered were thermal radiation effect, magnetic field and porosity of the medium. The proposed model for each problem would depend on the system of governing equations subject to the imposed initial and boundary conditions. Then, suitable non-dimensional variables were introduced to reduce the governing equations into the dimensionless form. Next, the numerical solutions of ordinary differential equations were solved using the Shooting method. These solutions must be asymptotic and must meet the imposed initial and boundary conditions. The comparison for viscous case was conducted to verify that the results of the present study would be reliable and accurate. The numerical solutions of velocity, temperature and concentration profiles were plotted graphically and discussed with different parameters. The skin friction coefficient, local Nusselt number and Sherwood number also have been studied and examined. Results showed that the velocity profile had decreased significantly with increase in Casson and Williamson parameters. The wall temperature increased when Casson and Williamson parameters increased. Besides, it is noticed that these parameter must not exceed the critical values respectively; otherwise, the fluid lost its characteristics. The non-Newtonian fluids in the present study were found to have better conductivity in heat transfer compared with base fluids. Also, the Newtonian heating parameter leads increase the wall tempearature in the fluid fow over a stretching sheet. The physical solutions for Newtonian heating parameter were also analysed. The numerical solutions obtained in the present study would be important in the validations of fundamental flow because of the accuracy standards for approximate method, analytical and experimental method. 2018-05 Thesis http://umpir.ump.edu.my/id/eprint/23263/ http://umpir.ump.edu.my/id/eprint/23263/1/Numerical%20solutions%20for%20casson%20and%20williamson%20nanofluids%20over%20a%20stretching%20sheet.wm.pdf pdf en public masters Universiti Malaysia Pahang Faculty of Industrial Sciences and Technology Zulkhibri, Ismail
institution	Universiti Malaysia Pahang Al-Sultan Abdullah
collection	UMPSA Institutional Repository
language	English
advisor	Zulkhibri, Ismail
topic	Q Science (General) QC Physics
spellingShingle	Q Science (General) QC Physics Kho, Yap Bing Numerical solutions for casson and williamson nanofluids over a stretching sheet
description	The unique characteristic of non-Newtonian fluids is that they do not obey the Newtonian law of viscosity. With the rheological behaviour properties, the classical Navier Stokes equations are no longer appropriate to define all the non-Newtonian fluids. Non-Newtonian fluids can be defined in several categories like visco-elastic, time-dependent viscosity and non-Newtonian viscosity. Such fluids are oils, ketchup, food paste, paints and colloidal solutions. Non-Newtonian fluids have gained much attraction due to their better performance in industrial and technological applications compared to Newtonian fluids. In this study, there are two types of non-Newtonian fluids, namely, the Casson and Williamson nanofluids, were selected to be investigated. Meanwhile, several types of boundary conditions studied were constant wall temperature, Newtonian heating and slip conditions. Other conditions considered were thermal radiation effect, magnetic field and porosity of the medium. The proposed model for each problem would depend on the system of governing equations subject to the imposed initial and boundary conditions. Then, suitable non-dimensional variables were introduced to reduce the governing equations into the dimensionless form. Next, the numerical solutions of ordinary differential equations were solved using the Shooting method. These solutions must be asymptotic and must meet the imposed initial and boundary conditions. The comparison for viscous case was conducted to verify that the results of the present study would be reliable and accurate. The numerical solutions of velocity, temperature and concentration profiles were plotted graphically and discussed with different parameters. The skin friction coefficient, local Nusselt number and Sherwood number also have been studied and examined. Results showed that the velocity profile had decreased significantly with increase in Casson and Williamson parameters. The wall temperature increased when Casson and Williamson parameters increased. Besides, it is noticed that these parameter must not exceed the critical values respectively; otherwise, the fluid lost its characteristics. The non-Newtonian fluids in the present study were found to have better conductivity in heat transfer compared with base fluids. Also, the Newtonian heating parameter leads increase the wall tempearature in the fluid fow over a stretching sheet. The physical solutions for Newtonian heating parameter were also analysed. The numerical solutions obtained in the present study would be important in the validations of fundamental flow because of the accuracy standards for approximate method, analytical and experimental method.
format	Thesis
qualification_level	Master's degree
author	Kho, Yap Bing
author_facet	Kho, Yap Bing
author_sort	Kho, Yap Bing
title	Numerical solutions for casson and williamson nanofluids over a stretching sheet
title_short	Numerical solutions for casson and williamson nanofluids over a stretching sheet
title_full	Numerical solutions for casson and williamson nanofluids over a stretching sheet
title_fullStr	Numerical solutions for casson and williamson nanofluids over a stretching sheet
title_full_unstemmed	Numerical solutions for casson and williamson nanofluids over a stretching sheet
title_sort	numerical solutions for casson and williamson nanofluids over a stretching sheet
granting_institution	Universiti Malaysia Pahang
granting_department	Faculty of Industrial Sciences and Technology
publishDate	2018
url	http://umpir.ump.edu.my/id/eprint/23263/1/Numerical%20solutions%20for%20casson%20and%20williamson%20nanofluids%20over%20a%20stretching%20sheet.wm.pdf
_version_	1783732057905561600

Numerical solutions for casson and williamson nanofluids over a stretching sheet

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