Heat transfer characteristics in the squeezing flow of casson fluid between circular plates: A comprehensive study

This research investigates the heat transfer characteristics in the squeezing flow of a non-Newtonian fluid, specifically focusing on the Casson fluid between two parallel circular plates. The research includes the development of nonlinear ordinary differential equations (ODEs), the utilization of conservation laws and similarity transformations, and the subsequent analytical resolution through the application of the Differential Transform Method (DTM) and Akbari-Ganji’s Method (AGM). The investigation explores the influence of various factors on flow characteristics, presenting the results visually and engaging in detailed discussions. The analysis encompasses a comprehensive examination across a range of parameters, including the squeeze number, Casson fluid parameter, Prandtl number, and Eckert number. Notably, the results indicate an acceleration in the rate of motion with respect to both the squeeze number and the Casson fluid parameter. In addition, the skin friction coefficient shows an increasing trend with respect to S, while the influence of [Formula: see text] has the opposite effect. Meanwhile, the Nusselt number decreases as both S and [Formula: see text] increase but exhibits an upward trend with increasing values of PR, Ec, and [Formula: see text]. The findings of this study contribute to the broader understanding of heat transfer in non-Newtonian fluid flows and provide valuable insights for practical applications.