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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Darcy-Forchheimer Flow of MHD Powell-Eyring Nanoliquid over a Nonlinear Radially Stretching Disk with the Impact of Activation Energy

Discontinuity, Nonlinearity, and Complexity 10(4) (2021) 743--753 | DOI:10.5890/DNC.2021.12.013

Madhu Macha, Besthapu Prabhakar

Department of Studies and Research in Mathematics,~Kuvempu University, Shimoga, India Department of Mathematics, Kakatiya Government College, Hanamkonda, Telangana, India

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This study proclaims the Darcy-Forchheimer flow of Powell- Eyring nanoliquid subjected to nonlinear radially stretching disk. Further the impact of activation energy retained in concentration expression. In addition to this, convective boundary condition is adopted together with a modified version of mass flux condition is used. The modeled partial differential equations have been remodeled into system of ordinary differential equations via appropriate similarity variables. These ODEs are solved by Runge-Kutta fourth order scheme along with shooting technique. Graphs have been prepared to analyze the features of various influential parameters on velocity, temperature and concentration fields. Significant effects are found for various estimations of the fluid parameter on velocity, temperature and concentration profiles. Velocity field is reduced for growing values of porosity as well as inertia coefficient. Concentration rises for larger values of energy parameter but it is depreciated for higher values of chemical reaction rate.


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