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The main objective of this paper is to review the work already done related to shear rate estimation for non-Newtonian fluids with or without yield point or yield stress with the help of basic integral equation of couette flow. Aqueous solution of drilling fluid additives is non-newtonian in nature and exact shear rate determination helps to predict rheological properties, i.e., apparent, plastic viscosity and yield point very accurately.This estimation helps to select appropriate drilling fluid for optimal penetration rate, which makes drilling economical by reducing rig days required to drill total depth. If the fluid additives are chosen correctly, we protect the well from sloughing shales, drill pipe sticking, fluid loss problem etc. and save time as well. Modern logging tools employ mud pulse telemetry to send data to surface which required suitable drilling fluid for proper data communication. It also affects productivity of well. Rising complexity of fluid has made it pertinent to improve acceptable estimation of shear rate determination of apparent viscosity, plastic viscosity and yield point. This paper examines the generalized difference equation for the coquette flow which is used in the evaluation of m (flow behavior parameter) and k (flow consistency parameter) for power law type fluid and Herschel-bulkley type fluid. The proposed shear rate equations which are considered are quite general and can be applied to any fluid.This review paper confines the equations which have been developed for the determination of shear rate along with the rheological properties for the non-Newtonian fluid with or without yield stress, which is essential for the prediction of suitable drilling fluid properties to achieve successful completion of an oil well.

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