The library has the voice of many experts. If you are not part of a university and there is no university near you, then you may not have access to the older literature. However, Google Scholar and all the people on research gate who post articles should provide a good start. You could also try collaboration with a statistician at your institution.
I was part of a team looking at shear effects in pesticide formulations subjected to pump shear during application. The number of times the entire spray tank volume passed through the pump was related to the viscosity of the spray mixture.
With the information provided you have sheer stress = sheer rate. A univariate regression problem. Proceed from there starting with OLS methods, and moving towards nonlinear methods only if needed within the framework of your data. Before you do all of that, try plotting your data. Then think about the goal in terms of the accuracy necessary to achieve the project objectives. Are you working with a lubricant of a satellite where a 0.001% reduction in performance means mission failure, or an agricultural pesticide spray system where such precision is ludicrous?