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Barycentric rational interpolation method for numerical investigation of magnetohydrodynamics nanofluid flow and heat transfer in nonparallel plates with thermal radiation
Authors:Soraya Torkaman  Mohammad Heydari  Ghasem B. Loghmani  Davood Domiri Ganji
Abstract:In this study, the problem of heat transfer in the steady two‐dimensional flow of an incompressible viscous magnetohydrodynamics nanofluid from a sink or source between two shrinkable or stretchable plates under the effect of thermal radiation has been studied. The governing differential equations have been solved numerically using a collocation method based on the barycentric rational basis functions. This method employs the derivative operational matrix of the barycentric rational bases and the weights that were introduced by Floater and Hormann. The influence of some embedding parameters, such as the solid volume fraction urn:x-wiley:10992871:media:htj21627:htj21627-math-0001, the Reynolds number urn:x-wiley:10992871:media:htj21627:htj21627-math-0002, the Hartmann number urn:x-wiley:10992871:media:htj21627:htj21627-math-0003, the Prandtl number urn:x-wiley:10992871:media:htj21627:htj21627-math-0004, the radiation parameter urn:x-wiley:10992871:media:htj21627:htj21627-math-0005, the stretching‐shrinking parameter, urn:x-wiley:10992871:media:htj21627:htj21627-math-0006, and the angle of the channel urn:x-wiley:10992871:media:htj21627:htj21627-math-0007 on the temperature distribution and velocity profile has been illustrated by graphs and tables. Numerical results reveal the efficiency and high accuracy of the proposed scheme compared to the previously existing solutions. Furthermore, the implementation of the proposed method is fast and the run time is short.
Keywords:linear barycentric rational interpolant  magnetohydrodynamic flow  nanofluid  operational matrix of derivative  stretchable or shrinkable walls  thermal radiation
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