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Keywords: differential equations
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Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Research Papers
J. Fluids Eng. August 2010, 132(8): 081202.
Published Online: August 18, 2010
... to obtain a solution in terms of a perturbation expansion, where the coefficients of each term are given by a system of coupled ordinary differential equations. Truncating the system at some large value of the parameter N , an approximate solution for the system is obtained for the first term...
Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Research Papers
J. Fluids Eng. June 2009, 131(6): 061201.
Published Online: May 12, 2009
... that control the transport process at the system boundaries as they often exist in many transport systems. These constraints result in a coupling of the Euler equations with a system of ordinary differential equations that model the dynamics of auxiliary processes connected to the transport system. Another...
Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Research Papers
J. Fluids Eng. April 2009, 131(4): 041205.
Published Online: March 11, 2009
... for the flow in a wedge bounded on one side by a free surface and on the other by a moving surface. The full solution is obtained by numerically integrating a set of ordinary differential equations from far downstream, in the region of the final film thickness. The results show excellent agreement...
Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Research Papers
J. Fluids Eng. 101202.
Published Online: September 2, 2008
.... The classical approach introduced by Von Karman is followed to reduce nonlinear flow and heat field equations to ordinary differential equations. Then these equations are solved by using differential transform method. Entropy generation equation for this system is then derived and nondimensionalized...
Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Research Papers
J. Fluids Eng. September 2008, 130(9): 091302.
Published Online: August 12, 2008
...Phu D. Tran A homogeneous model for prediction of the longitudinal distributions of pressure, velocity, and void fraction for two-phase bubbly flow in horizontal pipes is presented. The mixture flow is described by a system of two nondimensional ordinary differential equations that can...
Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Technical Papers
J. Fluids Eng. May 2007, 129(5): 643–651.
Published Online: December 22, 2006
... in the equation of linear momentum contains two higher stress tensors of rank two and three. In the case of isotropic materials, both the tensors of rank two and three are tensor valued functions of the second order strain rate tensor and its first gradient. So the vector valued differential equation of motion...
Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Technical Papers
J. Fluids Eng. March 2006, 128(2): 223–231.
Published Online: August 25, 2005
.... As a consequence, the velocity field varies along the well length and the resulting flow model is three-dimensional. Lubrication theory is used to simplify the governing equations into a two-dimensional differential equation that describes the pressure field. The results show the effect of the variation...
Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Technical Papers
J. Fluids Eng. May 2005, 127(3): 431–437.
Published Online: March 16, 2005
... of a compressible fluid that follows an equation of state. The continuity and the motion equations are projected over two sets of functions accounting for the radial and the axial dependence. A set of ordinary differential equations for the time-dependent coefficients is obtained, which is numerically integrated...
Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Technical Briefs
J. Fluids Eng. September 2004, 126(5): 880–883.
Published Online: December 7, 2004
... 4, 2004. Associate Editor: P. Signier. 06 June 2003 04 March 2004 07 12 2004 laminar flow non-Newtonian fluids non-Newtonian flow pipe flow viscosity finite difference methods differential equations surface roughness yield stress Miniaturization...
Journal Articles
Journal:
Journal of Fluids Engineering
Publisher: ASME
Article Type: Technical Papers
J. Fluids Eng. May 2004, 126(3): 385–390.
Published Online: July 12, 2004
... and searching for the critical conditions. This procedure avoids the need for a stability analysis of the flow and the solution of an eigenproblem. The differential equations were solved by the Galerkin/finite-element method and the resulting set of nonlinear algebraic equations, by Newton’s method. 6...