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Relevant bibliographies by topics / Blasius equation

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Journal articles

Academic literature on the topic 'Blasius equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 June 2025

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Journal articles on the topic "Blasius equation"

1

Benlahsen, M., M. Guedda, and R. Kersner. "The Generalized Blasius equation revisited." Mathematical and Computer Modelling 47, no. 9-10 (2008): 1063–76. http://dx.doi.org/10.1016/j.mcm.2007.06.019.

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2

Makhfi, Abdelali, and Rachid Bebbouchi. "On the generalized Blasius equation." Afrika Matematika 31, no. 5-6 (2020): 803–11. http://dx.doi.org/10.1007/s13370-020-00762-9.

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3

Manisha Patel, Hema Surati, and M. G. Timol. "Extension of Blasius Newtonian Boundary Layer to Blasius Non-Newtonian Boundary Layer." Mathematical Journal of Interdisciplinary Sciences 9, no. 2 (2021): 35–41. http://dx.doi.org/10.15415/mjis.2021.92004.

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Blasius equation is very well known and it aries in many boundary layer problems of fluid dynamics. In this present article, the Blasius boundary layer is extended by transforming the stress strain term from Newtonian to non-Newtonian. The extension of Blasius boundary layer is discussed using some non-newtonian fluid models like, Power-law model, Sisko model and Prandtl model. The Generalised governing partial differential equations for Blasius boundary layer for all above three models are transformed into the non-linear ordinary differewntial equations using the one parameter deductive group theory technique. The obtained similarity solutions are then solved numerically. The graphical presentation is also explained for the same. It concludes that velocity increases more rapidly when fluid index is moving from shear thickninhg to shear thininhg fluid.MSC 2020 No.: 76A05, 76D10, 76M99

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4

He, Jihuan. "Approximate analytical solution of Blasius' equation." Communications in Nonlinear Science and Numerical Simulation 3, no. 4 (1998): 260–63. http://dx.doi.org/10.1016/s1007-5704(98)90046-6.

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5

He, Jihuan. "Approximate analytical solution of Blasius' equation." Communications in Nonlinear Science and Numerical Simulation 4, no. 1 (1999): 75–78. http://dx.doi.org/10.1016/s1007-5704(99)90063-1.

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6

Xu, Ding, Jinglei Xu, and Gongnan Xie. "Revisiting Blasius Flow by Fixed Point Method." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/953151.

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The well-known Blasius flow is governed by a third-order nonlinear ordinary differential equation with two-point boundary value. Specially, one of the boundary conditions is asymptotically assigned on the first derivative at infinity, which is the main challenge on handling this problem. Through introducing two transformations not only for independent variable bur also for function, the difficulty originated from the semi-infinite interval and asymptotic boundary condition is overcome. The deduced nonlinear differential equation is subsequently investigated with the fixed point method, so the original complex nonlinear equation is replaced by a series of integrable linear equations. Meanwhile, in order to improve the convergence and stability of iteration procedure, a sequence of relaxation factors is introduced in the framework of fixed point method and determined by the steepest descent seeking algorithm in a convenient manner.

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7

Bougoffa, Lazhar, and Abdul-Majid Wazwaz. "New approximate solutions of the Blasius equation." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 7 (2015): 1590–99. http://dx.doi.org/10.1108/hff-08-2014-0263.

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Purpose – The purpose of this paper is to propose a reliable treatment for studying the Blasius equation, which arises in certain boundary layer problems in the fluid dynamics. The authors propose an algorithm of two steps that will introduce an exact solution to the equation, followed by a correction to that solution. An approximate analytic solution, which contains an auxiliary parameter, is obtained. A highly accurate approximate solution of Blasius equation is also provided by adding a third initial condition y ' ' (0) which demonstrates to be quite accurate by comparison with Howarth solutions. Design/methodology/approach – The approach consists of two steps. The first one is an assumption for an exact solution that satisfies the Blasius equation, but does not satisfy the given conditions. The second step depends mainly on using this assumption combined with the given conditions to derive an accurate approximation that improves the accuracy level. Findings – The obtained approximation shows an enhancement over some of the existing techniques. Comparing the calculated approximations confirm the enhancement that the derived approximation presents. Originality/value – In this work, a new approximate analytical solution of the Blasius problem is obtained, which demonstrates to be quite accurate by comparison with Howarth solutions.

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8

Liu, Yucheng, and Sree N. Kurra. "Solution of Blasius Equation by Variational Iteration." Journal Applied Mathematics 1, no. 1 (2012): 24–27. http://dx.doi.org/10.5923/j.am.20110101.03.

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9

He, Ji-Huan. "A simple perturbation approach to Blasius equation." Applied Mathematics and Computation 140, no. 2-3 (2003): 217–22. http://dx.doi.org/10.1016/s0096-3003(02)00189-3.

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10

Fang, Tiegang, Fang Guo, and Chia-fon F. Lee. "A note on the extended Blasius equation." Applied Mathematics Letters 19, no. 7 (2006): 613–17. http://dx.doi.org/10.1016/j.aml.2005.08.010.

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