IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v14y2021i22p7774-d683412.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/14/22/7774/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/14/22/7774/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shahid Nawaz Khan & Syed Ali Abbas Kazmi & Abdullah Altamimi & Zafar A. Khan & Mohammed A. Alghassab, 2022. "Smart Distribution Mechanisms—Part I: From the Perspectives of Planning," Sustainability, MDPI, vol. 14(23), pages 1-109, December.
    2. Waseem, Waseem & Sulaiman, M. & Aljohani, Abdulah Jeza, 2020. "Investigation of fractional models of damping material by a neuroevolutionary approach," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    3. Chandrasekaran Venkatesan & Raju Kannadasan & Dhanasekar Ravikumar & Vijayaraja Loganathan & Mohammed H. Alsharif & Daeyong Choi & Junhee Hong & Zong Woo Geem, 2021. "Re-Allocation of Distributed Generations Using Available Renewable Potential Based Multi-Criterion-Multi-Objective Hybrid Technique," Sustainability, MDPI, vol. 13(24), pages 1-28, December.
    4. Luay Elkhidir & Khalid Khan & Mohammad Al-Muhaini & Muhammad Khalid, 2022. "Enhancing Transient Response and Voltage Stability of Renewable Integrated Microgrids," Sustainability, MDPI, vol. 14(7), pages 1-21, March.
    5. Roul, Pradip & Prasad Goura, V.M.K., 2022. "A superconvergent B-spline technique for second order nonlinear boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    6. Amit K. Verma & Biswajit Pandit & Lajja Verma & Ravi P. Agarwal, 2020. "A Review on a Class of Second Order Nonlinear Singular BVPs," Mathematics, MDPI, vol. 8(7), pages 1-50, June.
    7. Jun Guan & Wei Du & Xiuli Wang & Xianjue Luo & Xingyang Liu & Xue Li, 2021. "A Reliability Evaluation Method for Independent Small Offshore Electric Systems," Energies, MDPI, vol. 14(11), pages 1-21, May.
    8. Roul, Pradip & Prasad Goura, V.M.K., 2020. "A high order numerical method and its convergence for time-fractional fourth order partial differential equations," Applied Mathematics and Computation, Elsevier, vol. 366(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:14:y:2021:i:22:p:7774-:d:683412. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.