Thermal Responces of Confined Bingham Plastics: Insights into Squeezing Dynamics

Bingham plastic fluids display solid-like characteristics when subjected to stress below a critical threshold while behaving more like fluids when the stress exceeds that barrier. Gaining a comprehensive understanding of the behaviour of fluids when they are confined is crucial for numerous commercial applications, including food processing, oil drilling, and pharmaceutical production. This study examines the characteristics of non-Newtonian fluid flow between two parallel plates under two distinct situations. In the first scenario, the plates remain in their existing positions, whereas in the second scenario, the plates need to move in opposite directions. Both of these events are feasible. The research comprehensively analyses the effects of compression and temperature changes in both scenarios. Furthermore, this method is employed to examine the characteristics of velocity, pressure, and temperature. Developing relevant assumptions that can convert a nonlinear coupled problem into a linear equation is essential to simplify the ensuing analysis. Subsequently, a semi-analytical approach is employed to solve the equations of motion, continuity, and energy derived from the preceding stage. The R.K. Fehlberg approach utilizes dimensionless equations at every stage to achieve its objectives. This research aims to comprehend the influence of pressure, temperature, and compression on the issue under investigation. Before commencing the procedure, multiple parameters are considered when representing the velocity, pressure, and temperature profiles.