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The Casson Dusty Nanofluid: Significance of Darcy–Forchheimer Law, Magnetic Field, and Non-Fourier Heat Flux Model Subject to Stretch Surface

Author

Listed:
  • Saif Ur Rehman

    (Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
    These authors contributed equally to this work and are co-first authors.)

  • Nageen Fatima

    (Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan)

  • Bagh Ali

    (Faculty of Computer Science and Information Technology, Superior University, Lahore 54000, Pakistan)

  • Muhammad Imran

    (Department of Mathematics, Government College University, Faisalabad 38000, Pakistan)

  • Liaqat Ali

    (School of Sciences, Xi’an Technological University, Xi’an 710021, China)

  • Nehad Ali Shah

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

  • Jae Dong Chung

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

Abstract

This work aims to offer a mathematical model for two-phase flow that investigates the interaction of Casson nanofluid and dust particles across a stretching surface. MHD Darcy–Forchheimer porous medium and Fourier’s law through Cattaneo–Christove thermal flux are also considered. The governing equations for the two phases model are partial differential equations later transmuted into ordinary ones via similarity transforms. The Runge–Kutta method with the shooting tool is utilized numerically to solve the boundary layer equations computed in MATLAB to obtain numerical results for various pertinent parameters. The numerical outcomes of momentum, temperature, and concentration distribution are visible for both phases. The results of the skin friction, heat transfer coefficients, and the Sherwood number are also visible in the graphs. Furthermore, by comparing the current findings to the existing literature, the validity of the results is confirmed and found to be in good agreement. The fluid velocity is reduced against increasing strength of Casson fluid parameter, enhanced the fluid phase and dust phase fluid temperature. The temperature declines against the growing values of the relaxation time parameter in both phases. Dusty fluids are used in various engineering and manufacturing sectors, including petroleum transportation, car smoke emissions, power plant pipes, and caustic granules in mining.

Suggested Citation

  • Saif Ur Rehman & Nageen Fatima & Bagh Ali & Muhammad Imran & Liaqat Ali & Nehad Ali Shah & Jae Dong Chung, 2022. "The Casson Dusty Nanofluid: Significance of Darcy–Forchheimer Law, Magnetic Field, and Non-Fourier Heat Flux Model Subject to Stretch Surface," Mathematics, MDPI, vol. 10(16), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2877-:d:886025
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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.
    3. Hayat, Tasawar & Riaz, Rubina & Aziz, Arsalan & Alsaedi, Ahmed, 2020. "Influence of Arrhenius activation energy in MHD flow of third grade nanofluid over a nonlinear stretching surface with convective heat and mass conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    4. Mudassar Jalil & Saleem Asghar & Shagufta Yasmeen, 2017. "An Exact Solution of MHD Boundary Layer Flow of Dusty Fluid over a Stretching Surface," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-5, March.
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    Cited by:

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    2. 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.
    3. M. Zubair Akbar Qureshi & Qadeer Raza & Aroosa Ramzan & M. Faisal & Bagh Ali & Nehad Ali Shah & Wajaree Weera, 2022. "Activation Energy Performance through Magnetized Hybrid Fe 3 O 4 – PP Nanofluids Flow with Impact of the Cluster Interfacial Nanolayer," Mathematics, MDPI, vol. 10(18), pages 1-14, September.
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    5. Syed Muhammad Ali Haider & Bagh Ali & Qiuwang Wang & Cunlu Zhao, 2022. "Rotating Flow and Heat Transfer of Single-Wall Carbon Nanotube and Multi-Wall Carbon Nanotube Hybrid Nanofluid with Base Fluid Water over a Stretching Sheet," Energies, MDPI, vol. 15(16), pages 1-13, August.

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