Numerical Analysis of Fully Developed Laminar Flow in Trapezoidal and Sinusoidal Grooves with Shear Stress at the Liquid-Vapor Interface

摘要

The primary goal of the present research was to numerically determine the behavior of fully developed laminar flow of trapezoidal and sinusoidal grooves with shear stress at the liquid-vapor interface. A computer model was developed using a finite difference solution which finds the mean velocity, Poiseuille number, and volumetric flow rate in terms of the groove geometry, meniscus contact angle, and interfacial shear stress for flow in trapezoidal and sinusoidal grooves. A comparison with archival literature is provided for fully developed laminar flow in rectangular and sinusoidal ducts and rectangular and triangular grooves. An extensive parametric analysis was performed. A semi- analytical solution is presented for the dimensionless mean velocity as a function of dimensionless shear stress, and was used in computing the capillary limit in axially grooved, revolving heat pipes. A previously written code to compute the capillary limit in revolving heat pipes was updated to include the effects of groove fill ratio and interfacial shear stress, and a comparison with experimental data is provided.