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

作　　者：Anyang WANG Hang XU Qiang YU 

机构地区：[1]State Key Lab of Ocean Engineering,School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China [2]College of Ocean Science and Engineering,Shanghai Maritime University,Shanghai 201306,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2020年第5期681-698,共18页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China (No. 11872241)。

摘　　要：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.

关 键 词：homotopy-wavelet method Coiflets electrohydrodynamic(EHD)flow nonlinear boundary value problem(BVP) 

分 类 号：O302[理学—力学]