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Numerical Analysis of Electrohydrodynamic Flow in a Circular Cylindrical Conduit by Using Neuro Evolutionary Technique

Author

Listed:
  • Naveed Ahmad Khan

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

  • Muhammad Sulaiman

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

  • Carlos Andrés Tavera Romero

    (COMBA R&D Laboratory, Faculty of Engineering, Universidad Santiago de Cali, Cali 76001, Colombia)

  • Fawaz Khaled Alarfaj

    (Department of Computer and Information Sciences, Imam Mohammad Ibn Saud Islamic University, Riyadh 11564, Saudi Arabia)

Abstract

This paper analyzes the mathematical model of electrohydrodynamic (EHD) fluid flow in a circular cylindrical conduit with an ion drag configuration. The phenomenon was modelled as a nonlinear differential equation. Furthermore, an application of artificial neural networks (ANNs) with a generalized normal distribution optimization algorithm (GNDO) and sequential quadratic programming (SQP) were utilized to suggest approximate solutions for the velocity, displacements, and acceleration profiles of the fluid by varying the Hartmann electric number ( H a 2 ) and the strength of nonlinearity (α). ANNs were used to model the fitness function for the governing equation in terms of mean square error (MSE), which was further optimized initially by GNDO to exploit the global search. Then SQP was implemented to complement its local convergence. Numerical solutions obtained by the design scheme were compared with RK-4, the least square method (LSM), and the orthonormal Bernstein collocation method (OBCM). Stability, convergence, and robustness of the proposed algorithm were endorsed by the statistics and analysis on results of absolute errors, mean absolute deviation (MAD), Theil’s inequality coefficient (TIC), and error in Nash Sutcliffe efficiency (ENSE).

Suggested Citation

  • Naveed Ahmad Khan & Muhammad Sulaiman & Carlos Andrés Tavera Romero & Fawaz Khaled Alarfaj, 2021. "Numerical Analysis of Electrohydrodynamic Flow in a Circular Cylindrical Conduit by Using Neuro Evolutionary Technique," Energies, MDPI, vol. 14(22), pages 1-19, November.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:22:p:7774-:d:683412
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    References listed on IDEAS

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    1. Wen Huang & Tianhua Jiang & Xiucheng Zhang & Naveed Ahmad Khan & Muhammad Sulaiman & Harish Garg, 2021. "Analysis of Beam-Column Designs by Varying Axial Load with Internal Forces and Bending Rigidity Using a New Soft Computing Technique," Complexity, Hindawi, vol. 2021, pages 1-19, March.
    2. S. Angalaeswari & P. Sanjeevikumar & K. Jamuna & Zbigniew Leonowicz, 2020. "Hybrid PIPSO-SQP Algorithm for Real Power Loss Minimization in Radial Distribution Systems with Optimal Placement of Distributed Generation," Sustainability, MDPI, vol. 12(14), pages 1-21, July.
    3. Roul, Pradip & Madduri, Harshita & Kassner, Klaus, 2019. "A sixth-order numerical method for a strongly nonlinear singular boundary value problem governing electrohydrodynamic flow in a circular cylindrical conduit," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 416-433.
    4. Waseem Waseem & Muhammad Sulaiman & Poom Kumam & Muhammad Shoaib & Muhammad Asif Zahoor Raja & Saeed Islam, 2020. "Investigation of singular ordinary differential equations by a neuroevolutionary approach," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-25, July.
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