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A Computational Analysis of Two-Phase Casson Nanofluid Passing a Stretching Sheet Using Chemical Reactions and Gyrotactic Microorganisms

Author

Listed:
  • Zulqurnain Sabir
  • Rizwan Akhtar
  • Zhu Zhiyu
  • Muhammad Umar
  • Ali Imran
  • Hafiz Abdul Wahab
  • Muhammad Shoaib
  • Muhammad Asif Zahoor Raja

Abstract

In this study, an attempt is made to explore the two-phase Casson nanofluid passing through a stretching sheet along a permeable surface with the effects of chemical reactions and gyrotactic microorganisms. By utilizing the strength of similarity transforms the governing PDEs are transformed into set of ODEs. The resulting equations are handled by using a proficient numerical scheme known as the shooting technique. Authenticity of numerical outcomes is established by comparing the achieved results with the MATLAB built-in solver bvp4c. The numerical outcomes for the reduced Nusselt number and Sherwood number are exhibited in the tabular form, while the variations of some crucial physical parameters on the velocity, temperature, and concentration profiles are demonstrated graphically. It is observed that Local Nusselt number rises with the enhancement in the magnetic field parameter, the porous media parameter, and the chemical reactions, while magnetic field parameter along with porous media parameter retards the velocity profile.

Suggested Citation

  • Zulqurnain Sabir & Rizwan Akhtar & Zhu Zhiyu & Muhammad Umar & Ali Imran & Hafiz Abdul Wahab & Muhammad Shoaib & Muhammad Asif Zahoor Raja, 2019. "A Computational Analysis of Two-Phase Casson Nanofluid Passing a Stretching Sheet Using Chemical Reactions and Gyrotactic Microorganisms," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-12, June.
    • Handle: RePEc:hin:jnlmpe:1490571
    DOI: 10.1155/2019/1490571
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    Cited by:

    1. Sabir, Zulqurnain & Raja, Muhammad Asif Zahoor & Wahab, Hafiz Abdul & Altamirano, Gilder Cieza & Zhang, Yu-Dong & Le, Dac-Nhuong, 2021. "Integrated intelligence of neuro-evolution with sequential quadratic programming for second-order Lane–Emden pantograph models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 87-101.

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