A numerical approach based on B-spline basis functions to solve boundary layer flow model of a non-Newtonian fluid

A spectral method based on B-spline functions is proposed for the numerical solution of the boundary layer flow of an Powell–Eyring fluid over a stretching sheet. First, the B-spline functions formula is represented, and the quasilinearization method is used to approximate the nonlinear equation of...

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Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2018-10, Vol.40 (10), p.1-9, Article 485
Main Authors: Parand, Kourosh, Bajalan, Nastaran
Format: Article
Language:English
Subjects:
B spline functions
Basis functions
Boundary layer
Boundary layer flow
Collocation methods
Engineering
Linear equations
Mathematical models
Mechanical Engineering
Newtonian fluids
Non Newtonian fluids
Nonlinear equations
Spectral methods
Stream functions (fluids)
Technical Paper
Viscosity
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Summary:A spectral method based on B-spline functions is proposed for the numerical solution of the boundary layer flow of an Powell–Eyring fluid over a stretching sheet. First, the B-spline functions formula is represented, and the quasilinearization method is used to approximate the nonlinear equation of the problem with a sequence of linear equations. Then, the collocation method is used to approximate the answer of these equations and illustrate the relation between the shape parameters and the stream function using three various degrees of B-spline functions.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-018-1402-3