Formation of inhomogeneities in two-phase low-Mach-number compressible turbulent fluid flows

1999 ◽  
Vol 24 (7) ◽  
pp. 1163-1182 ◽  
Author(s):  
T. Elperin ◽  
N. Kleeorin ◽  
I. Rogachevskii
Keyword(s):  
Mach Number ◽  
Fluid Flows ◽  
Two Phase ◽  
Low Mach Number ◽  
Turbulent Fluid

scholarly journals Modified Gamma-Based Model for Solving Low Mach Number Compressible Two Phase Flows

2013 ◽  
Vol 8 (1) ◽  
pp. 75-89 ◽  
Author(s):  
Junichi OOIDA ◽  
Kota NAKANO ◽  
Kohei NAGANE
Keyword(s):  
Mach Number ◽  
Two Phase Flows ◽  
Two Phase ◽  
Low Mach Number

Low-Mach-number asymptotics for two-phase flows of granular materials

2011 ◽  
Vol 669 ◽  
pp. 472-497 ◽  
Author(s):  
C. VARSAKELIS ◽  
M. V. PAPALEXANDRIS
Keyword(s):  
Mach Number ◽  
Granular Materials ◽  
Perturbation Parameter ◽  
Constant Density ◽  
Two Phase ◽  
Low Mach Number ◽  
Equilibrium Limit ◽  
Governing System ◽  
Special Cases ◽  
Multi Phase

In this paper, we generalize the concept of low-Mach-number approximation to multi-phase flows and apply it to the two-phase flow model of Papalexandris (J. Fluid Mech., vol. 517, 2004, p. 103) for granular materials. In our approach, the governing system of equations is first non-dimensionalized with values that correspond to a reference thermodynamic state of the phase with the smaller speed of sound. By doing so, the Mach number based on this reference state emerges as a perturbation parameter of the equations in hand. Subsequently, we expand each variable in power series of this parameter and apply singular perturbation techniques to derive the low-Mach-number equations. As expected, the resulting equations are considerably simpler than the unperturbed compressible equations. Our methodology is quite general and can be directly applied for the systematic reduction of continuum models for granular materials and for many different types of multi-phase flows. The structure of the low-Mach-number equations for two special cases of particular interest, namely, constant-density flows and the equilibrium limit is also discussed and analysed. The paper concludes with some proposals for experimental validation of the equations.

scholarly journals A homogeneous relaxation low Mach number model

2021 ◽  
Author(s):  
Gloria Faccanoni ◽  
Bérénice Grec ◽  
Yohan Penel
Keyword(s):  
Fluid Flow ◽  
Mach Number ◽  
Equation Of State ◽  
Specific Model ◽  
Relaxation Model ◽  
Two Phase ◽  
Asymptotic Preserving ◽  
Low Mach Number ◽  
Asymptotic Preserving Scheme ◽  
Phase Fluid

In the present paper, we investigate a new homogeneous relaxation model describing the behaviour of a two-phase fluid flow in a low Mach number regime, which can be obtained as a low Mach number approximation of the well-known HRM. For this specific model, we derive an equation of state to describe the thermodynamics of the two-phase fluid. We prove some theoretical properties satisfied by the solutions of the model, and provide a well-balanced scheme. To go further, we investigate the instantaneous relaxation regime, and prove the formal convergence of this model towards the low Mach number approximation of the well-known HEM. An asymptotic-preserving scheme is introduced to allow numerical simulations of the coupling between spatial regions with different relaxation characteristic times.

Sign in / Sign up

Export Citation Format

Share Document