A Singular Perturbation Solution of Power Law Fluid Flow in Open Channel Tube by Using Quadratic B-spline Collocation Method

Prapol Chivapornthip

doi:10.6180/jase.202102_24(1).0004

A Singular Perturbation Solution of Power Law Fluid Flow in Open Channel Tube by Using Quadratic B-spline Collocation Method

Physics

Prapol Chivapornthip This email address is being protected from spambots. You need JavaScript enabled to view it.¹

¹Department of Industrial Engineering, College of Engineering, Rangsit University, Pathum Thani 12000, Thailand

Received: March 2, 2020
Accepted: July 29, 2020
Publication Date: February 1, 2021

Download Citation: ||https://doi.org/10.6180/jase.202102_24(1).0004

ABSTRACT

In this research, the quadratic B-spline collocation method with open knots has been developed to solve a singular perturbation problem of power law fluid flowing through an open-ended tube. The accuracy and convergence speed of the proposed numerical solution were compared with the exact solution and central difference-based finite difference method. Regarding numerical analysis, the proposed numerical method outperformed the finite difference method when the power law index was within the range of 0.6 to 1. The accuracy of the proposed method was virtually the same as the exact solution when the fluid completely became Newtonian or power law index was equal to one.

Keywords: B-spline; Finite difference; Power law fluid; Singular perturbation

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