APPROXIMATE ANALYTICAL APPROACH FOR NONLINEAR BOUNDARY LAYER THIN FILM FLOW AND HEAT TRANSFER ANALYSIS OVER A STRETCHING SURFACE
The aim of this thesis is to construct mathematical model for nonlinear differential equation of boundary layer flow over a stretching surface and find its approximate analytical solution. The analytical approximate method named Optimal Homotopy Asymptotic Method (OHAM) is used for the approximat...
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| Format: | Thesis |
| Language: | English |
| Published: |
UNIVERSITI MALAYSIA TERENGGANU
2022
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| Online Access: | http://umt-ir.umt.edu.my:8080/handle/123456789/16012 |
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| Summary: | The aim of this thesis is to construct mathematical model for nonlinear differential
equation of boundary layer flow over a stretching surface and find its approximate
analytical solution. The analytical approximate method named Optimal Homotopy
Asymptotic Method (OHAM) is used for the approximate analytical solution. The
convergence of the OHAM for particular problems is also discussed. The series
solution for both velocity and temperature profiles are calculated by using OHAM. It
is an influential approximate analytical technique and various researchers employed
OHAM-BVPh 2.0 technique for several flow problems. After implementing the
boundary layer approximation on thin film flow model equations, we obtain a set of
partial differential equations (PDEs). These equations were transformed into a set of
non-dimensional nonlinear ordinary differential equations (ODEs) through suitable
self-similar alteration method. The dimensional form of coupled nonlinear ODEs one
for velocity and other for temperature were obtained through OHAM-BVPh 2.0
package. Furthermore, the impact of the model factors which are involved in velocity
and temperature profiles are displayed numerically and graphically. Also the flow
problem is discussed geometrically. The skin friction coefficient and Nusselt number
is discussed in table form. In 1995, in the ASME Winter Annual Conference, Choi
introduced the term of nanofluid. |
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