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ISSN: 2643-6744

Current Trends in Computer Sciences & Applications

Research Article(ISSN: 2643-6744)

Numerical Solution of Boundary Layer Flow of Viscous Fluid Via Successive Linearization Method

Volume 1 - Issue 2

Faisal Salah2* and Abdelmgid OM Sidahmed1

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    • 1Department of Mathematics, Saudi Arabia
    • 2Department of Mathematics, Sudan

    *Corresponding author: Faisal Salah, Department of Mathematics, Saudi Arabia

Received: November 19, 2018;   Published: December 04, 2018

DOI: 10.32474/CTCSA.2018.01.000108

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Abstract

The aim of this work is to obtain the numerical solutions for the boundary layer flow of heat transfer of incompressible viscous fluid. The governing partial differential equations are converted into ordinary differential equation by using a similarity transformation. The nonlinear equation governing the flow problem is modeled and then solved numerically by means of a successive linearization method (SLM). The numerical results are derived in tables for comparisons. The important result of this comparison is to show the high precision of the SLM in solving system of nonlinear differential equations. Graphical outcomes of various parameters such as Prandtl number (Pr) and Eckert number (Ec) on the flow, field are discussed and analyzed. Besides this the present results have been tested and compared with the available published results in a limiting manner and an excellent agreement is found.

Keywords: Viscous fluid; Successive linearization; Boundary layer

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