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

Yun-Xiang Li, Aamir Hamid, M. Ijaz Khan, Yasser Elmasry, Sumaira Qayyum, R. S. Varun Kumar, J. K. Madhukesh, B. C. Prasannakumara and Yu-Ming Chu
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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

International Journal of Modern Physics C (IJMPC), 2021, vol. 32, issue 10, 1-20

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.

Keywords: MHD; nonlinear thermal radiation; stagnation-point flow; Maxwell nanofluid; multiple solutions; wedge geometry (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0129183121501308

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