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Analysis of Error and Stability of Nanofluid over Horizontal Channel with Heat/Mass Transfer and Nonlinear Thermal Conductivity

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)

  • Haroon Ur Rasheed

    (Department of Computer Science and IT, Sarhad University, Peshawar 25000, KP, Pakistan)

Abstract

The current investigation aims to analyze the nanofluid flow between two infinite rotating horizontal channels. The lower plate is porous and stretchable. The impact of physical parameters such as Hall current, thermal characteristics, heat source/sink, chemical reaction on velocity, temperature, and concentration profiles are discussed through graphs. The governing equations are transformed to ordinary differential equations using suitable transformations and then solved numerically using the RK4 approach along with the shooting technique. For varying values of the Schmidt number (SN) and the chemical reaction factor (CRF), the concentration profile declines, but decreases for the activation energy. It is observed that the velocity profile declines with the increasing values of the suction factor. The velocity profile increases when the values of the rotation factors are increased. The temperature field exhibits a rising behavior with increasing values of the thermophoresis factor, Brownian motion, and the thermal radiation factor. It is also observed that the heat transfer rate is significant at the lower wall with the increasing values of the Prandtl number (PN). For the numerical solution, the error estimation and the residue error are calculated for the stability and confirmation of the mathematical model. The novelty of the present work is to investigate the irregular heat source and chemical reaction over the porous rotating channel. A growing performance is revealed by the temperature field, with the increase in the Brownian motion (BM), thermophoresis factor (TF), thermal conductivity factor (TCF), and the radiation factor (RF).

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:690-:d:1050587
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    4. Li, Yi-Xia & Shah, Faisal & Khan, M. Ijaz & Chinram, Ronnason & Elmasry, Yasser & Sun, Tian-Chuan, 2021. "Dynamics of Cattaneo-Christov Double Diffusion (CCDD) and arrhenius activation law on mixed convective flow towards a stretched Riga device," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
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    6. 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.
    7. 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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    Cited by:

    1. 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.
    2. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung, 2023. "Role of Nanofluid and Hybrid Nanofluid for Enhancing Thermal Conductivity towards Exponentially Stretching Curve with Modified Fourier Law Inspired by Melting Heat Effect," Mathematics, MDPI, vol. 11(5), pages 1-21, February.

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