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Stenosis is a type of cardiovascular disease (CVD) which involves the deposition of plaque on the inner wall of the artery, leading to narrowing of the artery, abnormal blood flow patterns and higher wall shear stresses (WSS), which contributes to high blood pressure, thrombus formation, and other chronic diseases. Chemical engineers can play a vital role in the area of haemodynamics using experimental and computational fluid dynamics (CFD) tools. WSS is affected by different values of severity of stenosis and length of stenosis. Hence there is a need for obtaining a quantitative relationship that can easily allow anyone to study flow dynamics in stenosis by studying WSS. In this study, an attempt has been made to develop such a relationship using CFD simulations and response surface methodology (RSM). The design parameters considered in this study are stenosis severity of 10%, 25%, 50%, 75%, 90%, and D/L s (diameter of artery/length of stenosis) of 0.2, 0.3, 0.4, 0.5, and 0.6. WSS and pressure drop across the stenosis were used as a response to assess the effect of these parameters. Blood flow inside the stenosed artery was modelled using large eddy simulation (LES) to predict the turbulent flow fields in the stenosed artery model. Based on the simulation results, correlation of WSS as a function of severity, length of stenosis, and peak Reynolds number was obtained using RSM.

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