منابع مشابه
Semi-Hyperbolic Patches of Solutions of the Pressure Gradient System
We construct patches of self-similar solutions, in which one family out of two nonlinear families of characteristics starts on sonic curves and ends on transonic shock waves, to the two-dimensional pressure gradient system. This type of solutions is common in the solutions of two-dimensional Riemann problems, as seen from numerical experiments. They are not determined by the hyperbolic domain o...
متن کاملAn Artificial Neural Network Model for Predicting the Pressure Gradient in Horizontal Oil–Water Separated Flow
In this study, a three–layer artificial neural network (ANN) model was developed to predict the pressure gradient in horizontal liquid–liquid separated flow. A total of 455 data points were collected from 13 data sources to develop the ANN model. Superficial velocities, viscosity ratio and density ratio of oil to water, and roughness and inner diameter of pipe were used as input parameters of ...
متن کاملAn Artificial Neural Network Model for Predicting the Pressure Gradient in Horizontal Oil–Water Separated Flow
In this study, a three–layer artificial neural network (ANN) model was developed to predict the pressure gradient in horizontal liquid–liquid separated flow. A total of 455 data points were collected from 13 data sources to develop the ANN model. Superficial velocities, viscosity ratio and density ratio of oil to water, and roughness and inner diameter of pipe were used as input parameters of ...
متن کاملTwo-dimensional regular shock reflection for the pressure gradient system of conservation laws
We establish the existence of a global solution to a regular reflection of a shock hitting a ramp for the pressure gradient system of equations. The set-up of the reflection is the same as that of Mach’s experiment for the compressible Euler system, i.e., a straight shock hitting a ramp. We assume that the angle of the ramp is close to 90 degrees. The solution has a reflected bow shock wave, ca...
متن کاملOn Two-dimensional Riemann Problem for Pressure-gradient Equations of the Euler System
Abstract. We consider the two-dimensional Riemann problem for the pressuregradient equations with four pieces of initial data, so restricted that only one elementary wave appears at each interface. This model comes from the flux-splitting of the compressible Euler system. Lack of the velocity in the eigenvalues, the slip lines have little influence on the structures of solutions. The flow exhib...
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ژورنال
عنوان ژورنال: Methods and Applications of Analysis
سال: 2010
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.2010.v17.n3.a2