Numerical investigation of relationship between water contact angle and drag reduction ratio of superhydrophobic surfaces

Abstract

This paper proposes a novel bubble model to analyze drag reduction. The relationship between the slip length and air bubble height is discussed. The numerical relationship between the surface contact angle and slip length is obtained using the solid-liquid contact ratio in the Cassie equation. The surface drag reduction ratio increases by 40% at low velocities when the solid liquid contact ratio decreases from 90% to 10%. An experimental setup to study liquid/solid friction drag is reported. The drag reduction ratio for the superhydrophobic surface tested experimentally is 30%–35% at low velocities. These results are similar to the simulation results obtained at low velocities.

Keywords

drag reduction / air bubble / slip length / fraction / superhydrophobic

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Higher Education Press and Springer-Verlag Berlin Heidelberg