کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
837508 | 908341 | 2012 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Exact solutions of a two-fluid model of two-phase compressible flows with gravity Exact solutions of a two-fluid model of two-phase compressible flows with gravity](/preview/png/837508.png)
We aim at determining and computing a class of exact solutions of a two-fluid model of two-phase flows with/without gravity. The model is described by a non-hyperbolic system of balance laws whose characteristic fields may not be given explicitly, making it perhaps impossible to solve the Riemann problem. First, we investigate Riemann invariants in the linearly degenerate characteristic fields and obtain a surprising result on the corresponding contact waves of the model without gravity. Second, even when gravity is allowed, we show that smooth stationary solutions can be governed by a system of differential equations in divergence form, which determines jump relations for any stationary discontinuity wave. Using these relations, we establish a nonlinear equation for the pressure and propose a method to compute the pressure and then the equilibria resulted by a stationary wave.
Journal: Nonlinear Analysis: Real World Applications - Volume 13, Issue 2, April 2012, Pages 987–998