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Analysis and simulation of new approximation equations for boundary-layer flow on curved surfaces

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  • Kleinstreuer, Clement
  • Eghlima, Ali

Abstract

An accurate and computationally efficent simulation of viscous flow fields exhibiting streamline curvature effects is important for the basic understanding and optimal design of a variety of mechanical systems. Examples include flow part airfoils, marine crafts, and automobiles or flow in diffusors and curved ducts. In this paper a new set of second-order boundary-layer equations is derived for steady incompressible two-dimensional or axisymmetric flow in regions where the streamlines stay approximately parallel to the curved surface. The performances of the new approximation equations and commonly used second-order boundary-layer equations are evaluated in two case studies. First, in a well-defined computer experiment, results from the two different sets of approximation equations are compared with a solution of the full Navier—Stokes equations for laminar flow past a representative body with longitudinal curvature. Then, turbulent flow versions of the new and traditionally used second-order boundary-layer equations are compared with experimental data sets for a representative axisymmetric body with strong longitudinal and transverse curvatures.

Suggested Citation

  • Kleinstreuer, Clement & Eghlima, Ali, 1985. "Analysis and simulation of new approximation equations for boundary-layer flow on curved surfaces," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 27(4), pages 307-325.
    • Handle: RePEc:eee:matcom:v:27:y:1985:i:4:p:307-325
    DOI: 10.1016/0378-4754(85)90002-3
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