Mathematical modelling of boundary layer flow and heat transfer in forced convection

A mathematical model for the boundary layer flow and heat transfer in forced convection is developed. Boundary layer is a narrow region of thin layer that exists adjacent to the surface of a solid body where the effects of viscosity are obvious, manifested by large flow velocity and temperature grad...

Full description

Saved in:

Bibliographic Details
Main Author:	Raja Ismail, Raja Mohd. Taufika
Format:	Thesis
Language:	English
Published:	2006
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/3715/1/RajaMohdTaufikaRajaIsmailMFS2006.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-utm-ep.3715
record_format	uketd_dc
spelling	my-utm-ep.37152018-01-10T04:30:09Z Mathematical modelling of boundary layer flow and heat transfer in forced convection 2006-05 Raja Ismail, Raja Mohd. Taufika QA Mathematics A mathematical model for the boundary layer flow and heat transfer in forced convection is developed. Boundary layer is a narrow region of thin layer that exists adjacent to the surface of a solid body where the effects of viscosity are obvious, manifested by large flow velocity and temperature gradient. The concept of boundary layer was first introduced by Ludwig Prandtl (1875-1953) in 1905. The derivation of both velocity and temperature boundary layer equations for flow past a horizontal flat plate and semi-infinite wedge are discussed. The velocity and temperature boundary layer equations are first transformed into ordinary differential equations via a similarity transformation. The differential equations corresponding to the flow past a horizontal flat plate and a semi-infinite wedge are nonlinear and known respectively as the Blasius and the Falkner-Skan equation. The approximate solutions of these equations are obtained analytically using a series expansion, namely the Blasius series and an improved perturbation series using the Shanks transformation. The solutions presented include the velocity and temperature profiles, the skin friction and the heat transfer coefficient. 2006-05 Thesis http://eprints.utm.my/id/eprint/3715/ http://eprints.utm.my/id/eprint/3715/1/RajaMohdTaufikaRajaIsmailMFS2006.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Raja Ismail, Raja Mohd. Taufika Mathematical modelling of boundary layer flow and heat transfer in forced convection
description	A mathematical model for the boundary layer flow and heat transfer in forced convection is developed. Boundary layer is a narrow region of thin layer that exists adjacent to the surface of a solid body where the effects of viscosity are obvious, manifested by large flow velocity and temperature gradient. The concept of boundary layer was first introduced by Ludwig Prandtl (1875-1953) in 1905. The derivation of both velocity and temperature boundary layer equations for flow past a horizontal flat plate and semi-infinite wedge are discussed. The velocity and temperature boundary layer equations are first transformed into ordinary differential equations via a similarity transformation. The differential equations corresponding to the flow past a horizontal flat plate and a semi-infinite wedge are nonlinear and known respectively as the Blasius and the Falkner-Skan equation. The approximate solutions of these equations are obtained analytically using a series expansion, namely the Blasius series and an improved perturbation series using the Shanks transformation. The solutions presented include the velocity and temperature profiles, the skin friction and the heat transfer coefficient.
format	Thesis
qualification_level	Master's degree
author	Raja Ismail, Raja Mohd. Taufika
author_facet	Raja Ismail, Raja Mohd. Taufika
author_sort	Raja Ismail, Raja Mohd. Taufika
title	Mathematical modelling of boundary layer flow and heat transfer in forced convection
title_short	Mathematical modelling of boundary layer flow and heat transfer in forced convection
title_full	Mathematical modelling of boundary layer flow and heat transfer in forced convection
title_fullStr	Mathematical modelling of boundary layer flow and heat transfer in forced convection
title_full_unstemmed	Mathematical modelling of boundary layer flow and heat transfer in forced convection
title_sort	mathematical modelling of boundary layer flow and heat transfer in forced convection
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2006
url	http://eprints.utm.my/id/eprint/3715/1/RajaMohdTaufikaRajaIsmailMFS2006.pdf
_version_	1747814467545071616

Mathematical modelling of boundary layer flow and heat transfer in forced convection

Similar Items