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Role of Chemically Magnetized Nanofluid Flow for Energy Transition over a Porous Stretching Pipe with Heat Generation/Absorption and Its Stability

Author

Listed:
  • Zeeshan

    (Department of Mathematics and Statistics, Bacha Khan University, Charsadda 24420, KP, Pakistan
    These authors contributed equally to this work and are co-first authors.)

  • N. Ameer Ahammad

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Nehad Ali Shah

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea
    These authors contributed equally to this work and are co-first authors.)

  • Jae Dong Chung

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea)

  • Attaullah

    (Department of Mathematics, Abdul Wali Khan University, Mardan 25000, KP, Pakistan)

Abstract

The laminar movement in an expanding and contracting permeable pipe or surface has recently attracted the attention of many scholars owing to its application in engineering and biological processes. The objective of the current study is to examine the influence of chemical processes on magnetized nanofluid flow over extending or shrinking permeable pipes with a heat reservoir. The flow equations are renovated into first ODEs by introducing the new variable and then numerically solved by RK4 with a shooting procedure. The effect of emerging factors on the flow features is observed using graphs and elaborated in detail. From the analysis, the temperature is raised when the heat source is increased in both cases of wall expansion or contraction but declines in the case of heat sinks. In the case of a heat source, the temperature rises as the Hartmann and Prandtl numbers are enhanced, but in the case of a heat sink, the temperature falls. In the presence of heat sinks and injections, when the thermophoresis factor is increased, the concentration of nanoparticles is increased in both wall expansion and contractions. In both situations of wall extension or contraction, along with injection, the concentration of nanoparticles is a decreasing function of N b , while the concentration of nanoparticles is an increasing function in the case of a heat source. Additionally, for the confirmation of the RK4 code, the total average square residue error and average square residue error are also presented. For the stability analysis, the current work is compared with published work, and excellent agreement is established. The novelty of the present study is to investigate the effect of chemical reaction on magnetized nanofluid flow over extending and shrinking porous pipes with heat generation and absorption.

Suggested Citation

  • Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung & Attaullah, 2023. "Role of Chemically Magnetized Nanofluid Flow for Energy Transition over a Porous Stretching Pipe with Heat Generation/Absorption and Its Stability," Mathematics, MDPI, vol. 11(8), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1844-:d:1122449
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    References listed on IDEAS

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    1. Md. Jashim Uddin & O. A. Bég & A. Aziz & A. I. Md. Ismail, 2015. "Group Analysis of Free Convection Flow of a Magnetic Nanofluid with Chemical Reaction," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, February.
    2. Quanfu Lou & Bagh Ali & Saif Ur Rehman & Danial Habib & Sohaib Abdal & Nehad Ali Shah & Jae Dong Chung, 2022. "Micropolar Dusty Fluid: Coriolis Force Effects on Dynamics of MHD Rotating Fluid When Lorentz Force Is Significant," Mathematics, MDPI, vol. 10(15), pages 1-13, July.
    3. M. M. Rashidi & E. Momoniat & M. Ferdows & A. Basiriparsa, 2014. "Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-21, February.
    4. Muhammad Zeeshan Ashraf & Saif Ur Rehman & Saadia Farid & Ahmed Kadhim Hussein & Bagh Ali & Nehad Ali Shah & Wajaree Weera, 2022. "Insight into Significance of Bioconvection on MHD Tangent Hyperbolic Nanofluid Flow of Irregular Thickness across a Slender Elastic Surface," Mathematics, MDPI, vol. 10(15), pages 1-17, July.
    5. Zeeshan & Attaullah & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung, 2023. "A Numerical Framework for Entropy Generation Using Second-Order Nanofluid Thin Film Flow over an Expanding Sheet: Error Estimation and Stability Analysis," Mathematics, MDPI, vol. 11(5), pages 1-26, February.
    6. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung & Attaullah & Haroon Ur Rasheed, 2023. "Analysis of Error and Stability of Nanofluid over Horizontal Channel with Heat/Mass Transfer and Nonlinear Thermal Conductivity," Mathematics, MDPI, vol. 11(3), pages 1-22, January.
    7. Zeeshan & N. Ameer Ahammad & Haroon Ur Rasheed & Ahmed A. El-Deeb & Barakah Almarri & Nehad Ali Shah, 2022. "A Numerical Intuition of Activation Energy in Transient Micropolar Nanofluid Flow Configured by an Exponentially Extended Plat Surface with Thermal Radiation Effects," Mathematics, MDPI, vol. 10(21), pages 1-20, October.
    8. Aissa Abderrahmane & Naef A. A. Qasem & Obai Younis & Riadh Marzouki & Abed Mourad & Nehad Ali Shah & Jae Dong Chung, 2022. "MHD Hybrid Nanofluid Mixed Convection Heat Transfer and Entropy Generation in a 3-D Triangular Porous Cavity with Zigzag Wall and Rotating Cylinder," Mathematics, MDPI, vol. 10(5), pages 1-18, February.
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