NONLINEAR MODEL OF SQUEEZE FLOW OF FLUIDS WITH YIELD STRESS USING PERTURBATION TECHNIQUES

Abstract

This research is focused on mathematical modeling of fluids with yield stress in the squeeze mode. The focus of the research is on magneto-rheological (MR) fluids but the results can be extended to any non-Newtonian fluid exhibiting a yielding behavior. There is no universally accepted mathematical model of squeeze flow of MR fluids to date because of the complexity of the flow and lack of theoretical and experimental studies. In this research, the squeeze flow problem of MR fluids is solved using perturbation techniques and squeeze force and flow field are determined. The model is verified and validated using experimental test data and it is shown that the model can be used as a design tool for design of MR devices that operate in the squeeze mode.