Entropy generation minimization and chemical response for Williamson fluid flow with thermal diffusion

Abstract

In present study, we analyze the numerical and theoretical studies of the Darcy–Forchheimer MHD Williamson incompressible fluid flow near a nonlinear stretched surface in the presence chemical reactive species. Darcy–Forchheimer effect and viscous dispassion are considered under the entropy generation. Entropy generation analysis has designated great interest in applied engineering procedure to improve the mathematical and theoretical elevation problem. To approximate the entropy generation rate, the ordinary differential equations are solved numerically by utilizing fifth-order Runge–Kutta integration scheme with shooting method. Next using the production results, the entropy results are examined by utilizing numerical and theoretical approaches. The numerical date acquired for several mechanisms are shown through figures and tables. The physical effects of the several interesting parameters on the base flow, heat and mass transfer are discussed through graphs and tables.

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Correspondence to Mair Khan.

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Tlili, I., Khan, M., Salahuddin, T. et al. Entropy generation minimization and chemical response for Williamson fluid flow with thermal diffusion. Appl Nanosci 10, 3123–3131 (2020). https://doi.org/10.1007/s13204-020-01396-w

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Keywords

  • Williamson nanofluid
  • Chemical reaction
  • Darcy–Forchheimer effect
  • Viscous dissipations
  • Entropy generation
  • Shooting method (Cash and Karp)