Understanding the complex and multifaceted dynamics of squeezing flow: a comprehensive review

This review thoroughly examines squeezing flow dynamics, a fluid mechanics phenomenon at the heart of numerous engineering and biological applications. The research comprises fundamental theories, mathematical models, analytical approaches, numerical simulations, and experimental advances shaping current understanding. There is a focus on the subtle impact of boundary conditions like slip, yield stress, and Navier conditions, as well as the influence of dimensionless parameters like Reynolds, Prandtl, and Squeeze numbers. It investigates the impacts of extrinsic elements such as magnetic fields, temperature gradients, and non-Newtonian fluid characteristics, yielding crucial insights into flow behavior under various settings. Lubrication, polymer processing, and microfluidics are compared to biomedical applications such as blood flow and synovial fluid dynamics. The review identifies the research challenges, including developing more sophisticated computational tools, accurate experimental validations, and models that can tackle multi-scale complexities. Some emerging trends highlighted as promising areas for further exploration include hybrid nanofluids, porous media flows, and machine learning-based predictive techniques. This work will be a definitive reference for researchers looking to understand the progress, challenges, and future prospects of squeezing flow studies from a synthesized perspective.