A modified approach to exact solutions of a general form of a non-Newtonian second grade fluid

被引:1
作者
Mahmood-ul-Hassan [1 ]
Siddiqui, A. M. [2 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
[2] Penn State Univ, Dept Math, York, PA 17403 USA
关键词
Riabouchinsky flow: non-Newtonian second-grade fluid; Exact solution; Inverse method; INVERSE SOLUTIONS;
D O I
10.1016/j.camwa.2011.10.075
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we find exact solutions of a more general form to the equations of motion of a second-grade fluid in two dimensions. We assume Riabouchinsky type flows. A modified solution methodology is given here to better handle such type of flows. It is also shown that our approach has some advantages over the existing approaches. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:94 / 99
页数:6
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[32]   Exact solutions to the modified 2D Burgers vortex equation: a general result for the unsteady case [J].
Robert A. Van Gorder .
Acta Mechanica, 2011, 216 :345-350
[33]   Exact Analysis of the Flow and Heat Transfer of the SA-TiO2 Non-Newtonian Nanofluid Between Two Coaxial Cylinders Through a Porous Medium [J].
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Ebaid, Abdelhalim .
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[34]   Use of the inverse method to check the stress predictions in rough elastohydrodynamic lubrication contacts lubricated with a non-Newtonian fluid for a range of asperity geometries [J].
Hooke, CJ ;
Li, KY .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2003, 217 (08) :935-944
[35]   Significance of hafnium nanoparticles in hydromagnetic non-Newtonian fluid-particle suspension model through divergent channel with uniform heat source: thermal analysis [J].
Saleem, Salman ;
Nazeer, Mubbashar ;
Radwan, Neyara ;
Abutuqayqah, Hajar .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2024, 79 (06) :567-582
[37]   Exact solutions and localized excitations of general Nizhnik-Novikov-Veselov system in (2+1)-dimensions via a projective approach [J].
Ye, JF ;
Zheng, CL ;
Xie, LS .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2006, 7 (02) :203-208