Existence of global solutions for isentropic gas flow with friction

Nonlinearity ◽  
2020 ◽  
Vol 33 (8) ◽  
pp. 3940-3969
Author(s):  
Yun-guang Lu
Keyword(s):  
Gas Flow ◽  
Global Solutions ◽  
Isentropic Gas

A New Design Method for Waste Gas Efflux Self-Sucking Device Based on the Isentropic Gas Flow Theory

2010 ◽  
Vol 29-32 ◽  
pp. 442-447
Author(s):  
Chuan Jun Li ◽  
Wei Dong Shi ◽  
Xin Wang
Keyword(s):  
Gas Flow ◽  
Design Method ◽  
Calculated Data ◽  
Flow Theory ◽  
Effective Theory ◽  
Good Reliability ◽  
Analysis And Design ◽  
Waste Gas ◽  
Isentropic Gas ◽  
Working Parameters

In order to meet the demand of designing the waste gas efflux self-sucking device simply and practicably, based on the single-phase isentropic gas flow theory, a more effective theory analysis and design method was presented. The device’s main working parameters and characteristic indexes that had a signification effect in practice application were analyzed and given. And their calculating means were put forward. Some model was designed by this way and the parameters were analyzed by comparison with experiments. The result of the calculating case shows that the calculated data accord with the experimental data. And the method has good reliability with simpleness and practicality, which provides a good way of designing the self-sucking device.

Nonideal Isentropic Gas Flow Through Converging-Diverging Nozzles

1990 ◽  
Vol 112 (4) ◽  
pp. 455-460 ◽  
Author(s):  
W. Bober ◽  
W. L. Chow
Keyword(s):  
Mach Number ◽  
Gas Flow ◽  
Accurate Solution ◽  
Gas Flows ◽  
Kutta Method ◽  
Runge Kutta Method ◽  
Nonideal Gas ◽  
Reservoir Conditions ◽  
Flow Through ◽  
Isentropic Gas

A method for treating nonideal gas flows through converging-diverging nozzles is described. The method incorporates the Redlich-Kwong equation of state. The Runge-Kutta method is used to obtain a solution. Numerical results were obtained for methane gas. Typical plots of pressure, temperature, and area ratios as functions of Mach number are given. From the plots, it can be seen that there exists a range of reservoir conditions that require the gas to be treated as nonideal if an accurate solution is to be obtained.

scholarly journals An extension of Bakhvalov’s theorem for systems of conservation laws with damping

2017 ◽  
Vol 14 (04) ◽  
pp. 703-719
Author(s):  
Hermano Frid
Keyword(s):  
Periodic Solution ◽  
Initial Data ◽  
Conservation Laws ◽  
Gas Dynamics ◽  
Global Solutions ◽  
Eulerian Formulation ◽  
Systems Of Conservation Laws ◽  
Periodic Initial Data ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas

For [Formula: see text] systems of conservation laws satisfying Bakhvalov conditions, we present a class of damping terms that still yield the existence of global solutions with periodic initial data of possibly large bounded total variation per period. We also address the question of the decay of the periodic solution. As applications, we consider the systems of isentropic gas dynamics, with pressure obeying a [Formula: see text]-law, for the physical range [Formula: see text], and also for the “non-physical” range [Formula: see text], both in the classical Lagrangian and Eulerian formulation, and in the relativistic setting. We give complete details for the case [Formula: see text], and also analyze the general case when [Formula: see text] is small. Further, our main result also establishes the decay of the periodic solution.

scholarly journals Soluciones globales para sistema isotérmico con fuente

2021 ◽  
Vol 39 (1) ◽  
Author(s):  
Xian Ting Wang
Keyword(s):  
Global Existence ◽  
Gas Dynamics ◽  
Short Note ◽  
Global Solutions ◽  
Momentum Equation ◽  
Global Existence Of Solutions ◽  
Existence And Stability ◽  
Isothermal System ◽  
Isentropic Gas Dynamics ◽  
Isentropic Gas

In this short note, we are concerned with the global existence of solutions to the isothermal system with source, where the inhomogeneous terms f(x,t,ρ,u)=b(x,t)ρ+(a′(x)/a(x))*ρu^2+α(x,t)ρu|u| are appeared in the momentum equation. Our work extended the results in the previous papers “Resonance for the Isothermal System of Isentropic Gas Dynamics” (Proc. A.M.S.139(2011),2821-2826), “Global Existence and Stability to the Polytropic Gas Dynamics with an Outer Force” (Appl. Math. Let-ters, 95(2019), 35-40) and “Existence of Global Solutions for Isentropic GasFlow with Friction” (Nonlinearity, 33(2020), 3940-3969), where the global solution was obtained for the source f(x,t,ρ,u)=(a′(x)/a(x))*ρu^2, f(x,t,ρ,u)=b(x,t)ρ, f(x,t,ρ,u)=α(x,t)ρu|u| respectively.

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