An Analysis of Boundary Layer Flow over a Flat Plate Using Modified Adomian Decomposition Method
Journal Title: Scholars Journal of Engineering and Technology - Year 2015, Vol 3, Issue 4
Abstract
In this paper, the boundary layer flow over a flat plate was presented and discussed. The equations governing the boundary layer and the energy equation were equally considered. Modified Adomian decomposition method discussed and used with the Runge-Kutta shooting method to solve the Blasius equation and the Energy equation arising from the equations governing the boundary layer flow. Numerical results were obtained and each of the methods used converges to the true solution as the velocity profile increased to a steady state. The obtained results for the Blasius equation revealed one of the features of boundary layer that the boundary layer increases from the edge of the boundary layer into the free steam. Different values of Prandtl number used for the obtained results for the energy equation revealed that as the Prandtl number used increases, the boundary layer thickness reduces which established the stability function of the Prandtl number on the temperature. Values for the skin friction (the measure of velocity profile at the wall) as well as the Nusselt number (the heat transfer rate at the wall) were calculated from the results obtained for the Blasius equation and the Energy equation. Using the Runge-Kuta shooting method as the standard value, it revealed that Modified Adomian Decomposition Method is a good approximation value to Nusselt number. Keywords: Boundary layer flow, Modified Adomian Decomposition Method, Runge-Kutta shooting method
Authors and Affiliations
Adewoye Raphael Adebisi
Keywords
Related Articles
- EP ID EP385154
- DOI -
- Views 92
- Downloads 0
Hybrid Modeling of the Urban Traffic Flow
Nowadays, the development of tools for modeling and simulating road traffic flow becomes more and more a necessity. This is reflected by the development of many road traffic flow models that can reproduce some traffic ph...
Effects of Shape and Technology of Installation on the Bearing Capacity of Pile Foundations in Layered Soil
Among other factors, which influence the bearing capacity of piles, the shape of its external configuration, as well the installation technique employed during construction, also play major roles. This paper presents the...
Existence of Eigenvalue to Boundary Value Problems for Nonlinear High-Order Differential Equations
In this paper, investigation of positive solutions for the boundary value problem of eigenvalue problem has been reported. It is studied by employing the positive property of the Green’s function, the fixed point theorem...
Pattern Designing of Portfolio Management of Hydro Projects with Implementation of Multi-Criteria Models
Portfolio is a collection of projects, plans or activities which are managed integrally to facilitate the efficient management of works in order to reach the strategic goals. Portfolio management is one of the most impor...
Seismic response analysis of overhead pipe under multi point input
Abstract: Ground motion has a strong randomness because of the limitation of the number of strong earthquake records and mathematical difficulties. In general, by the method of establishing stochastic process model, one...