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Non-Linear Dynamic Movements of CNT/Graphene/Aluminum Oxide and Copper/Silver/Cobalt Ferrite Solid Particles in a Magnetized and Suction-Based Internally Heated Surface: Sensitivity and Response Surface Optimization

Author

Listed:
  • C. S. K. Raju

    (Department of Mathematics, GITAM School of Science, GITAM-Bangalore, Bangalore 562163, India
    These authors contributed equally to this work and are co-first authors.)

  • M. Dinesh Kumar

    (Department of Mathematics, GITAM School of Science, GITAM-Bangalore, Bangalore 562163, India)

  • N. Ameer Ahammad

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

  • Ahmed A. El-Deeb

    (Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Egypt)

  • Barakah Almarri

    (Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Nehad Ali Shah

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

Abstract

Hybrid nanofluids combine two or more nano properties with a base fluid such as water ethylene. Usually, this helps enhance the heat transfer rate; in this article, using new similarity transformations created by Lie group analysis, the governing nonlinear partial differential equations are transformed into a system of connected nonlinear ordinary differential equations. The resulting design is numerically solved using a BVP4C solver with the shooting method (MATLAB). The magneto hydrodynamic flow of an incompressible fluid and the rate of heat and mass transfer were investigated for two cases, with various nanoparticle shapes including cylindrical, spherical, and platelet. Case 1 was CNT (1%), graphene (1%), and aluminum oxide (1%), and Case 2 was copper (1%), silver (1%), and cobalt ferrite (1%). When the Hartmann number rises, velocity and temperature exhibit inverse behavior: the velocity profile increases, and the temperature profile decreases. When the suction rises, the velocity and temperature profiles both increase. Optimization techniques were used from response surface methodology (RSM) to set factorial variables so that the response met the desired maximum or minimum value. Factorial methods like ANOVA were used to model the response, but they were expanded to simulate the effects in terms of extrapolation.

Suggested Citation

  • C. S. K. Raju & M. Dinesh Kumar & N. Ameer Ahammad & Ahmed A. El-Deeb & Barakah Almarri & Nehad Ali Shah, 2022. "Non-Linear Dynamic Movements of CNT/Graphene/Aluminum Oxide and Copper/Silver/Cobalt Ferrite Solid Particles in a Magnetized and Suction-Based Internally Heated Surface: Sensitivity and Response Surfa," Mathematics, MDPI, vol. 10(21), pages 1-24, November.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4066-:d:959904
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    References listed on IDEAS

    as
    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. Vellaboyina Nagendramma & Putta Durgaprasad & Narsu Sivakumar & Battina Madhusudhana Rao & Chakravarthula Siva Krishnam Raju & Nehad Ali Shah & Se-Jin Yook, 2022. "Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation," Mathematics, MDPI, vol. 10(14), pages 1-31, July.
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