Fully-developed Flow in Semi-circular and Isosceles Triangular Ducts with Non-uniform Slip

[+] Author and Article Information
C.Y. Wang

Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI 48824

1Corresponding author.

ASME doi:10.1115/1.4040362 History: Received August 03, 2017; Revised May 18, 2018


A modified Ritz method for solving non-uniform slip flow in a duct is applied to the semi-circular duct and the isosceles triangular duct. These ducts are important in micro-fluidics. Detailed flow fields and Poiseuille numbers show the large effects of non-uniform slip. A rare exact solution for the semi-circular duct with non-zero slip is also found.

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