Computational methods for solving the steady flow of a third grade fluid in a porous half space

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• 作者：Abbas Saadatmandi ; ^a ; ^{saadatmandi@kashanu.ac.ir} ; ^{a.saadatmandi@gmail.com} ; Zeinab Sanatkar^a ; ^{zeinab_sanatkar@yahoo.com} ; Seyed Pendar Toufighi^b ; ^{toufighi.p@pace-co.net}
• 关键词：Rational Legendre ; Third grade fluid ; Collocation method ; Porous half space ; Semi-infinite interval ; Chebyshev finite difference
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：298
• 期：Complete
• 页码：133-140
• 全文大小：415 K
• 卷排序：298

文摘

An important class of fluids commonly used in industries is non-Newtonian fluids. In this paper, two numerical techniques based on rational Legendre functions and Chebyshev polynomials are presented for solving the flow of a third-grade fluid in a porous half space. This problem can be reduced to a nonlinear two-point boundary value problem on semi-infinite interval. Our methods are utilized to reduce the computation of this problem to some algebraic equations. The comparison of the results with the other methods and residual norm show very good accuracy and rate of convergence of our approach.