Computation of hypersonic flows over flying configurations using a nonlinear constitutive model
The linear Navier–Stokes–Fourier (NSF) constitutive relations are derived on the
assumption of the small deviation from local thermodynamic equilibrium, and consequently …
assumption of the small deviation from local thermodynamic equilibrium, and consequently …
[PDF][PDF] An undecomposed hybrid algorithm for nonlinear coupled constitutive relations of rarefied gas dynamics
It is well-established that the accurate simulation of hypersonic rarefied gas flows cannot be
accomplished by Navier-Stokes-Fourier (NSF) equations since they are applicable only for …
accomplished by Navier-Stokes-Fourier (NSF) equations since they are applicable only for …
[HTML][HTML] Analytical method of nonlinear coupled constitutive relations for rarefied non-equilibrium flows
It is well known that Navier-Stokes equations are not valid for those high-Knudsen and high-
Mach flows, in which the local thermodynamically non-equilibrium effects are dominant. To …
Mach flows, in which the local thermodynamically non-equilibrium effects are dominant. To …
Modified nonlinear coupled constitutive relations model for hypersonic nonequilibrium flows
To obtain accurate physical description of nonequilibrium flows, Eu proposed a set of
generalized hydrodynamic equations (GHEs) using a nonequilibrium ensemble method …
generalized hydrodynamic equations (GHEs) using a nonequilibrium ensemble method …
Numerical analysis of the micro-Couette flow using a non-Newton–Fourier model with enhanced wall boundary conditions
Non-equilibrium effects exist extensively in microfluidic flows, and the accurate simulation of
the Knudsen layer behind them is rather challenging for the linear Newton–Fourier model. In …
the Knudsen layer behind them is rather challenging for the linear Newton–Fourier model. In …
[HTML][HTML] Multiple temperature model of nonlinear coupled constitutive relations for hypersonic diatomic gas flows
The rotational energy of diatomic gases would be activated by the process of intermolecular
collisions in high-temperature hypersonic flows. In this paper, a multi-temperature nonlinear …
collisions in high-temperature hypersonic flows. In this paper, a multi-temperature nonlinear …
The application and verification of modified nonlinear coupled constitutive relations model
Eu proposed a set of generalized hydrodynamic equations (GHE) from the viewpoint of
generalized hydrodynamics formulated in the non-equilibrium ensemble method, which …
generalized hydrodynamics formulated in the non-equilibrium ensemble method, which …
Numerical simulation of three-dimensional high-speed flows using a second-order nonlinear model
The conventional linear Navier-Stokes-Fourier (NSF) constitutive relations are well-known to
play an effective role in near-continuum flows but fail in description of those flows removed …
play an effective role in near-continuum flows but fail in description of those flows removed …
[PDF][PDF] Nonlinear coupled constitutive relations model and its applications
In the hypersonic expansion flow, multiscale non-equilibrium effects always exist The
wellknown NS equation is no longer applicable based on the continuum assumption. In …
wellknown NS equation is no longer applicable based on the continuum assumption. In …
Shock structure singularity smoothed by adiabatic approximation of generalized hydrodynamics
Grad's 13-moment theory cannot give continuous shock structure solutions beyond Ma=
1.65. The critical Mach number will increase with the number of moments, but …
1.65. The critical Mach number will increase with the number of moments, but …