Comparing three recently developed techniques and using them to address the non-Newtonian fluid flow and heat transfer issue on a turbine disk

Abstract

This study is investigating three distinct semi-analytical methods (SAGPM, q-HALPM, and PYRDTM) to solve nonlinear equations in the context of turbine cooling during heat transfer and fluid flow. These methods include Shehu, Laplace, and Young transformations and are improved by Padé approximation. The analysis not only explores how these methods deal with the complicated problems of cooling turbine systems but also remove to test efficiency, accuracy, and convergence of each of them. A comprehensive comparison of approximate solution methods to identify the most effective approach for modeling nonlinear thermal systems is conducted. The findings provide critical insights in to efficient analytical estimations for applications of the above recent methods. Ultimately, the results contribute to the advancement of accurate and computationally efficient solutions for complicated fluid dynamics problems, with broad applicability to various flow-thermal challenges. Moreover, the results showed that the methods are effective and powerful and give an indication that q-HALPM has superior convergence and high accuracy compared to PYRDTM and SAGPM