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Dual branch solutions (multi-solutions) for nonlinear radiative Falkner–Skan flow of Maxwell nanomaterials with heat and mass transfer over a static/moving wedge

Author

Listed:
  • Yun-Xiang Li

    (School of Science, Hunan City University, Yiyang 413000, P. R. China)

  • Aamir Hamid

    (#x2020;Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan)

  • M. Ijaz Khan

    (#x2021;Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan)

  • Yasser Elmasry

    (#xA7;Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia)

  • Sumaira Qayyum

    (#xA7;Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia)

  • R. S. Varun Kumar

    (#xB6;Department of Mathematics, Davangere University, Shivagangotri, Davangere 577002, Karnataka, India)

  • J. K. Madhukesh

    (#xB6;Department of Mathematics, Davangere University, Shivagangotri, Davangere 577002, Karnataka, India)

  • B. C. Prasannakumara

    (#xB6;Department of Mathematics, Davangere University, Shivagangotri, Davangere 577002, Karnataka, India)

  • Yu-Ming Chu

    (#x2225;Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China)

Abstract

In this study, the numerous solutions to Falkner–Skan flow of a Maxwell fluid with nanoparticles are investigated, considering the nonlinear radiation and magnetic domain. The flow described above can be expressed in accordance with PDEs that are transformed into ODEs by choosing suitable variables of similarity. The fourth- and fifth-order Runge–Kutta–Fehlberg method can be utilized to solve these reduced ODEs by applying the shooting approach. The graphs were drawn to explain the effects of different parameters on different fluid profiles for both the lower- and upper-branch solutions. This study shows that the velocity outlines improve both solutions by increasing local Deborah numbers slightly. Besides, an increase in radiation reduces the thermal gradient for both solutions, thereby reducing the concentration gradient for both solutions contributing to raised Brownian motion and Lewis numbers.

Suggested Citation

  • Yun-Xiang Li & Aamir Hamid & M. Ijaz Khan & Yasser Elmasry & Sumaira Qayyum & R. S. Varun Kumar & J. K. Madhukesh & B. C. Prasannakumara & Yu-Ming Chu, 2021. "Dual branch solutions (multi-solutions) for nonlinear radiative Falkner–Skan flow of Maxwell nanomaterials with heat and mass transfer over a static/moving wedge," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 32(10), pages 1-20, October.
    • Handle: RePEc:wsi:ijmpcx:v:32:y:2021:i:10:n:s0129183121501308
    DOI: 10.1142/S0129183121501308
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