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A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation

Author

Listed:
  • Ruihua Tang
  • Sadique Rehman
  • Aamir Farooq
  • Muhammad Kamran
  • Muhammad Imran Qureshi
  • Asfand Fahad
  • Jia-Bao Liu
  • Atila Madureira Bueno

Abstract

This paper focuses on the comparative study of natural convection flow of fractional Maxwell fluid having uniform heat flux and radiation. The well-known Maxwell fluid equation with an integer-order derivative has been extended to a non-integer-order derivative, i.e., fractional derivative. The explicit expression for the temperature and velocity is acquired by utilizing the Laplace transform (LT) technique. The two fractional derivative concepts are used (Caputo and Caputo–Fabrizio derivatives) in the formulation of the problem. Utilizing the Mathcad programming, the effect of certain embedded factors and fractional parameters on temperature and velocity profile is graphically presented.

Suggested Citation

  • Ruihua Tang & Sadique Rehman & Aamir Farooq & Muhammad Kamran & Muhammad Imran Qureshi & Asfand Fahad & Jia-Bao Liu & Atila Madureira Bueno, 2021. "A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation," Complexity, Hindawi, vol. 2021, pages 1-16, August.
  • Handle: RePEc:hin:complx:9401655
    DOI: 10.1155/2021/9401655
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