Analytical investigation for cooling turbine disks with a non-Newtonian viscoelastic fluid

  • Authors:

  • F. Khani;M. T. Darvishi;Rama Subba Reddy Gorla

  • Affiliations:

  • Young Researchers Club, Islamic Azad University, Ilam Branch, Iran;Department of Mathematics, Razi University, Kermanshah, Iran;Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, USA

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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Abstract

The homotopy analysis method (HAM) is used to develop an analytical solution for the cooling of turbine disks with a non-Newtonian viscoelastic fluid. Results are presented for the velocity and temperature fields and the Nusselt number is determined as a function of the cross viscosity parameter D"2, the Reynolds number, Re, and the Prandtl number, Pr. The present results corroborate well with the numerical and perturbation results reported in other research literature on the problem. The auxiliary parameter in the homotopy analysis method is derived by using the averaged residual error concept which significantly reduces the computational time. The use of optimal auxiliary parameter provides a superior control on the convergence and accuracy of the analytic solution.