Homotopy Coiflets wavelet solution of electrohydrodynamic flows in a circular cylindrical conduit

doi:10.1007/s10483-020-2607-8

Abstract

Abstract: In previous studies, the nonlinear problem of electrohydrodynamic (EHD) ion drag flows in a circular cylindrical conduit has been studied by several authors. However, those studies seldom involve the computation for large physical parameters such as the electrical Hartmann number and the magnitude parameter for the strength of the nonlinearity due to the existence of strong nonlinearity in these extreme cases. To overcome this faultiness, the newly-developed homotopy Coiflets wavelet method is extended to solve this EHD flow problem with strong nonlinearity. The validity and reliability of the proposed technique are verified. Particularly, the highly accurate homotopy-wavelet solution is obtained for extreme large parameters, which seems to be overlooked before. Discussion about the effects of related physical parameters on the axial velocity field is presented.

Key words: homotopy-wavelet method, Coiflets, electrohydrodynamic (EHD) flow, nonlinear boundary value problem (BVP)

2010 MSC Number:

Anyang WANG, Hang XU, Qiang YU. Homotopy Coiflets wavelet solution of electrohydrodynamic flows in a circular cylindrical conduit. Applied Mathematics and Mechanics (English Edition), 2020, 41(5): 681-698.

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References

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