Abstract. In this study, shapes of water droplets with di erent sizes on various inclined smooth surfaces are simulated numerically, and advancing and receding contact angles are determined using the molecular dynamics approach. Experimental measurements are also carried out to validate the numerical predictions of droplets' shape on inclined surfaces. Based on the veri ed code, shapes of water droplets with di erent sizes around smooth circular cylinders with various diameters are simulated. Furthermore, advancing and receding contact angles along with the hysteresis values of the sessile and pendant droplets with various sizes around the cylinders are evaluated. Finally, based on the numerical results, two correlations are developed to predict advancing and receding contact angles of droplets on the circular cylinders. According to the results, maximum advancing and minimum receding angles take place on both sides of the cylinder on a horizontal line passing through the cylinder center. As a result, contact angle hysteresis reaches its maximum value in these two positions. In addition, advancing and receding angles have the same values on the top and bottom of the cylinder. Moreover, droplet size and cylinder diameter have minor e ect, while drop position has major e ect on the shape of droplets over the cylinder.
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