Thermosolutal marangoni convective boundary layer equations / Noraini Ahmad

Prandtl velocity boundary layer has conceptualized the mathematical description of boundary layers that led to wide applications in engineering processes. In coupled dissipative boundary layer, the surface tension gradient play an important role at the interface in determining the characteristics of...

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Main Author:	Ahmad, Noraini
Format:	Thesis
Language:	English
Published:	2013
Subjects:	Thermodynamics Magnetism
Online Access:	https://ir.uitm.edu.my/id/eprint/16382/1/16382.pdf
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spelling	my-uitm-ir.163822022-11-22T03:44:46Z Thermosolutal marangoni convective boundary layer equations / Noraini Ahmad 2013 Ahmad, Noraini Thermodynamics Magnetism Prandtl velocity boundary layer has conceptualized the mathematical description of boundary layers that led to wide applications in engineering processes. In coupled dissipative boundary layer, the surface tension gradient play an important role at the interface in determining the characteristics of the boundary layer flow. In this study, the surface tension is assumed to depend linearly or quadratically on temperature and/or concentration gradients. Four mathematical models are formulated for the steady dissipative boundary layer flows. The systems of the steady boundary layer equations in form of system of partial differential equations (PDE) are transformed to system of ordinary differential equations (ODE) by similarity transformation. The ODE systems are solved numerically by using the Runge-Kutta-Fehlberg with shooting technique. The first problem considered the linear dependence of surface tension on temperature and solute concentration on the momentum and heat and mass transfer of MHD mixed convection boundary layers with suction or injection. The results show that as thermal and solutal Marangoni parameters increase the velocity, thermal and concentration boundary layer thickness for buoyancy-opposed flow increases but their thickness reduce for buoyancyassisted flow. In the second problem, the combined effects of power law temperature and solute concentration on the surface tension, species concentration and pressure gradient are considered. The results shows thermosolutal surface tension ratio increases the velocity boundary layer thickness but decrease the temperature and concentration boundary layer thickness. The effect of porosity is considered in the third problem and significant effect of porosity can be observed in the momentum boundary layer but less impact on the rate of heat and mass transfer. In the fourth problem, the flow and temperature patterns on thermal Marangoni convection are studied. The effect of magnetic field, porous medium and permeable surface with the quadratic temperature dependence surface tension are considered. The results show the increase of thermocapillary or Marangoni effects and weaker magnetic field strength lead to stronger reverse flow. 2013 Thesis https://ir.uitm.edu.my/id/eprint/16382/ https://ir.uitm.edu.my/id/eprint/16382/1/16382.pdf text en public mphil masters Universiti Teknologi MARA (UiTM) Faculty of Computer and Mathematical Sciences Awang Kechil, Seripah
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Awang Kechil, Seripah
topic	Thermodynamics Magnetism
spellingShingle	Thermodynamics Magnetism Ahmad, Noraini Thermosolutal marangoni convective boundary layer equations / Noraini Ahmad
description	Prandtl velocity boundary layer has conceptualized the mathematical description of boundary layers that led to wide applications in engineering processes. In coupled dissipative boundary layer, the surface tension gradient play an important role at the interface in determining the characteristics of the boundary layer flow. In this study, the surface tension is assumed to depend linearly or quadratically on temperature and/or concentration gradients. Four mathematical models are formulated for the steady dissipative boundary layer flows. The systems of the steady boundary layer equations in form of system of partial differential equations (PDE) are transformed to system of ordinary differential equations (ODE) by similarity transformation. The ODE systems are solved numerically by using the Runge-Kutta-Fehlberg with shooting technique. The first problem considered the linear dependence of surface tension on temperature and solute concentration on the momentum and heat and mass transfer of MHD mixed convection boundary layers with suction or injection. The results show that as thermal and solutal Marangoni parameters increase the velocity, thermal and concentration boundary layer thickness for buoyancy-opposed flow increases but their thickness reduce for buoyancyassisted flow. In the second problem, the combined effects of power law temperature and solute concentration on the surface tension, species concentration and pressure gradient are considered. The results shows thermosolutal surface tension ratio increases the velocity boundary layer thickness but decrease the temperature and concentration boundary layer thickness. The effect of porosity is considered in the third problem and significant effect of porosity can be observed in the momentum boundary layer but less impact on the rate of heat and mass transfer. In the fourth problem, the flow and temperature patterns on thermal Marangoni convection are studied. The effect of magnetic field, porous medium and permeable surface with the quadratic temperature dependence surface tension are considered. The results show the increase of thermocapillary or Marangoni effects and weaker magnetic field strength lead to stronger reverse flow.
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Ahmad, Noraini
author_facet	Ahmad, Noraini
author_sort	Ahmad, Noraini
title	Thermosolutal marangoni convective boundary layer equations / Noraini Ahmad
title_short	Thermosolutal marangoni convective boundary layer equations / Noraini Ahmad
title_full	Thermosolutal marangoni convective boundary layer equations / Noraini Ahmad
title_fullStr	Thermosolutal marangoni convective boundary layer equations / Noraini Ahmad
title_full_unstemmed	Thermosolutal marangoni convective boundary layer equations / Noraini Ahmad
title_sort	thermosolutal marangoni convective boundary layer equations / noraini ahmad
granting_institution	Universiti Teknologi MARA (UiTM)
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2013
url	https://ir.uitm.edu.my/id/eprint/16382/1/16382.pdf
_version_	1783733517203537920

Thermosolutal marangoni convective boundary layer equations / Noraini Ahmad

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