A Method of Solving Compressible Navier Stokes Equations in Cylindrical Coordinates Using Geometric Algebra

Terry E. Moschandreou
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Terry E. Moschandreou: London International Academy, 365 Richmond Street, London, ON N6A 3C2, Canada

Mathematics, 2019, vol. 7, issue 2, 1-12

Abstract: A method of solution to solve the compressible unsteady 3D Navier-Stokes Equations in cylindrical co-ordinates coupled to the continuity equation in cylindrical coordinates is presented in terms of an additive solution of the three principle directions in the radial, azimuthal and z directions of flow. A dimensionless parameter is introduced whereby in the large limit case a method of solution is sought for in the tube. A reduction to a single partial differential equation is possible and integral calculus methods are applied for the case of a body force in the direction of gravity to obtain an integral form of the Hunter-Saxton equation.

Keywords: compressible; Navier-Stokes; cylindrical; Hunter-Saxton; Geometric Algebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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