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A novel computational strategy for solving electrohydrodynamic flow problem

delete2025-08-28
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PRE
AI
S
Soner Aydınlık
A
Ahmet Kırış
P
Pradip Roul *
DOI:10.1007/s00500-025-10852-0delete
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Abstract

Abstract

En 中文
In the present study, we design a novel computational procedure to obtain highly accurate solutions for the electrohydrodynamic flow model, which depicts the velocity of ionized fluid motion in a circular cylindrical conduit. The study investigates the velocity fields of electrohydrodynamic flow in relation to two crucial parameters: the level of nonlinearity and the electrical Hartmann number. A comprehensive examination of convergence and error analysis is also conducted. Furthermore, the effectiveness of the proposed approach is demonstrated through various test scenarios. In order to justify the advantages of the proposed numerical algorithm, the computed results are compared with those obtained using several existing methods in the literature, including the Lucas and Galerkin Collocation Methods, the Haar Wavelet Collocation Method, the Discrete Optimized Homotopy Analysis Method, the Least Squares Method, the Chebyshev and Legendre Spectral Methods, and Shifted Airfoil Polynomials of the Second Kind Method. These tests and comparisons highlight the efficacy and reliability of the proposed methodology in addressing electrohydrodynamic flow problems.
Keywords:
Electrohydrodynamic flow problem
Singularity
Non-uniform mesh
Hartmann number
Nonlinearity

Journal

Soft Computing cover
Soft Computing
IF:
2.5
Papers:
1.0W
Citations:
2.1W

Organization

D
Department of Mathematics
Scholars:
1.5K
Papers: 927
Citations: 1
F
faculty of science and letters
Scholars:
56
Papers: 34
Citations: 0
Cited Papers

Cited Papers

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Industrial applications of magnetohydrodynamics at the University of Bologna
err2002-02-01
err5
PREAI
errAlbano, PG; Borghi, CA; Cristofolini, A; Fabbri, M; Kishimoto, Y; Negrini, F; Shibata, H; Zanetti, M
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Electrodynamics of Continua I
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IF0
err1990-01-01
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PREAI
errA. C. Eringen; G. A. Maugin
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