A unified compatibility method for exact solutions of non-linear flow models of Newtonian and non-Newtonian fluids
作者： Taha Aziz , F.M. Mahomed , D.P. Mason
DOI: 10.1016/J.IJNONLINMEC.2015.01.003
关键词: Newtonian fluid 、 Ordinary differential equation 、 Mathematics 、 Homogeneous space 、 Compatibility (mechanics) 、 Non-Newtonian fluid 、 Lower order 、 Mathematical analysis 、 Ansatz 、 Nonlinear system
摘要: Abstract Criteria are established for higher order ordinary differential equations to be compatible with lower equations. Necessary and sufficient compatibility conditions derived which can used construct exact solutions of subject We provide the connection generalized groups through conditional symmetries. Using this approach groups, new non-linear flow problems arising in study Newtonian non-Newtonian fluids derived. The ansatz obtaining models is unified application group criteria.
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