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Exact solution of the Navier-Stokes equations for the oscillating flow in a duct of a cross-section of right-angled isosceles triangle

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Abstract

The Navier-Stokes equations have been solved in order to obtain an analytical solution of the fully developed laminar flow in a duct having a cross section of a right-angled, isosceles triangle. We obtained a solution for the case of oscillating pressure gradient flow. The pulsating flow is obtained by the superposition of the steady and oscillating pressure gradient solutions.

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Authors and Affiliations

  1. National Technical University of Athens, Department of Mechanical Engineering, Fluids Section, 64070, 15710, Zografou-Athens, Greece

    S. Tsangaris

  2. National Technical University of Athens, Department of Mechanical Engineering, Fluids Section, 64070, 15710, Zografou-Athens, Greece

    N. W. Vlachakis

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  1. S. Tsangaris
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  2. N. W. Vlachakis
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Correspondence to S. Tsangaris.

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Tsangaris, S., Vlachakis, N. Exact solution of the Navier-Stokes equations for the oscillating flow in a duct of a cross-section of right-angled isosceles triangle . Z. angew. Math. Phys. 54, 1094–1100 (2003). https://doi.org/10.1007/s00033-003-2013-z

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  • DOI: https://doi.org/10.1007/s00033-003-2013-z

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