Investigation of Entropy Generation in Stagnation Point Flow of Nano Fluid Impinging on the Cylinder with Constant Wall Heat Flux

Authors

  • Darabi, M. Young Researchers and Elite Club, Shahrood Branch, Islamic Azad University, Shahrood, Iran
  • Dibaee Bonab, M. H. Department of Mechanical Engineering, Shahrood Branch, Islamic Azad University, Shahrood, Iran
  • Hejazi, S. R. Department of Mathematics, Shahrood University of Technology, Shahrood, Iran
  • Janipour Bidsardareh, V. Department of Mathematics, Yasouj Branch, Islamic Azad University, Yasouj, Iran
  • Mohammadiun, H. Department of Mechanical Engineering, Shahrood Branch, Islamic Azad University, Shahrood, Iran
  • Mohammadiun, M. Department of Mechanical Engineering, Shahrood Branch, Islamic Azad University, Shahrood, Iran
Abstract:

: In this research, dimensionless temperature and entropy generation for the steady state flow in the stagnation point of incompressible nanofluid impinging on an infinite cylinder have been investigated. The impinging free stream is steady with a constant strain rate  k. Similarity solution of the Navier-Stokes equations and energy equation is derived in this problem. A reduction of these equations is obtained using appropriate transformations introduced in this research. The general self similar solution is obtained when the heat flux on the cylinder wall is constant. All solutions brought above are presented for Reynolds numbers  Re=ka^2/2vf that range from 0.1 to 1000 and the selected values of particle fractions, where a is the radius of the cylinder and υf  is the kinematic viscosity of the base fluid. Results show that for Reynolds numbers examined, as the particle fraction increases, the depth of diffusion of the fluid velocity field in axial direction decreases, whereas Nusselt number is raised. Also, the maximum value of entropy generation has been calculated.

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Journal title

volume 39  issue 1

pages  135- 145

publication date 2020-08

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