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Keywords: partial differential equations
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Journal Articles
Article Type: Research Papers
J. Pressure Vessel Technol. June 2010, 132(3): 031206.
Published Online: May 19, 2010
... and λ ≤ 12 . The thin shell theoretical solution is obtained by solving a complex boundary value problem for a pair of fourth-order complex-valued partial differential equations (exact Morley equations ( Morley, 1959, “An Improvement on Donnell’s Approximation for Thin Walled Circular Cylinders,” Q. J...
Journal Articles
Article Type: Research Papers
J. Pressure Vessel Technol. February 2010, 132(1): 011801.
Published Online: November 30, 2009
... and velocity potential, a continuity equation is given by the Laplace equation in Cartesian coordinates. The fluid velocities accompanying the motions of the walls and bottom plate constitute the boundary conditions. Since this problem is set as a parabolic partial differential equation of the Neumann problem...
Journal Articles
Article Type: Research Papers
J. Pressure Vessel Technol. August 2008, 130(3): 031304.
Published Online: July 11, 2008
...Janez Gale; Iztok Tiselj Constant coefficient one-dimensional linear hyperbolic systems of partial differential equations (PDEs) are often used for description of fluid-structure interaction (FSI) phenomena during transient conditions in piping systems. In the past, these systems of equations have...
Journal Articles
Article Type: Research Papers
J. Pressure Vessel Technol. August 2006, 128(3): 341–347.
Published Online: July 13, 2005
... transients are generated by valve slam. The resulting mathematical problem is formed by a system of nonlinear partial differential equations which is solved by means of an operator splitting technique, combined with Glimm’s method. Numerical results obtained for an articulated piping system indicate...