Chebyshev-Homotopy Perturbation Method for Studying the Flow and Heat Transfer of a Non-Newtonian Fluid Flow on the Turbine Disk
DOI:
https://doi.org/10.56714/bjrs.50.1.13Keywords:
Homotopy method, Chebyshev expansion, Cooling the turbine disc, Non-Newtonian fluid, Convergence studyAbstract
In this investigation, a new method for studying the effect of non-Newtonian fluid on the flow and temperature distribution when cooling the turbine disk is presented. The new method is based on the homotopy perturbation method developed with the Chebyshev series. The results of the proposed method were compared with the results obtained using numerical methods in previous literature to ensure the validity of the method, as it showed good agreement. The effect of several physical parameters on flow velocity and temperature diffusion, such as the Reynolds number, cross viscosity parameter, Prandtl number, and power law, was explored. The results obtained using the proposed method were more accurate than other methods used to solve the current problem. Moreover, figures and error tables show the new method's efficacy and efficiency.
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