activity
20182026
most citedCoupled constitutive relations: a second law based higher order closure for hydrodynamics

30 citations · 91 across the 12 of their papers we have counts for

collaborators

12 papers

math-ph2026

Non-equilibrium modelling of polyatomic gases: generic framework and 11-moment model

Masrakain Ahmad, Anil Kumar, Anirudh Singh Rana

In this study, we present a thermodynamically consistent framework for modelling polyatomic gases by integrating the \textit{general equation for non-equilibrium reversible-irrever…

physics.flu-dyn2025

Thermodynamically Admissible Diffuse Interface Model for Nanoscale Transport of Dense Fluids

Rahul Bhattacharjee, Henning Struchtrup, Anirudh Singh Rana

We investigate interfacial fluid dynamics and heat transfer at nanoscales using an improved diffuse interface approach for liquid-vapor interfaces in non-equilibrium. Conventional…

physics.flu-dyn2025★ 1 cited

A generalized fundamental solution technique for the regularized 13-moment system in rarefied gas flows

Himanshi, Lambert Theisen, Anirudh Singh Rana +2

In this work, we explore the method of fundamental solutions (MFS) for solving the regularized 13-moment (R13) equations for rarefied monatomic gases. While previous applications o…

physics.flu-dyn2024★ 3 cited

Exploring external rarefied gas flows through the method of fundamental solutions

Himanshi, Anirudh Singh Rana, Vinay Kumar Gupta

The well-known Navier--Stokes--Fourier equations of fluid dynamics are, in general, not adequate for describing rarefied gas flows. Moreover, while the Stokes equations -- a simpli…

math-ph2023

H-Theorem and Boundary Conditions for Two-Temperature Model: Application to Wave Propagation and Heat Transfer in Polyatomic Gases

Anil Kumar, Anirudh Singh Rana

Polyatomic gases find numerous applications across various scientific and technological fields, necessitating a quantitative understanding of their behavior in non-equilibrium cond…

physics.flu-dyn2023

A second order constitutive theory for polyatomic gases: theory and applications

Anirudh Singh Rana, Sukratu Barve

In the classical irreversible thermodynamics (CIT) framework, the Navier Stokes Fourier (NSF) constitutive equations are obtained so as they satisfy the entropy inequality, by and…

physics.flu-dyn2023★ 11 cited

Fundamental solutions of an extended hydrodynamic model in two dimensions: Derivation, theory, and applications

Himanshi, Anirudh Singh Rana, Vinay Kumar Gupta

The inability of the Navier-Stokes-Fourier equations to capture rarefaction effects motivates us to adopt the extended hydrodynamic equations. In the present work, a hydrodynamic m…

physics.flu-dyn2022★ 6 cited

Rarefied gas flow past a liquid droplet: interplay between internal and external flows

Rahul Bhattacharjee, Sonu Saini, Vinay Kumar Gupta +1

Experimental and theoretical studies on millimetre-sized droplets suggest that at low Reynolds number the difference between the drag force on a circulating water droplet and that…

physics.flu-dyn2022

An Efficient Moment Method for Modelling Nanoporous Evaporation

Thomas C. De Fraja, Anirudh S. Rana, Ryan Enright +3

Thin-film-based nanoporous membrane technologies exploit evaporation to efficiently cool microscale and nanoscale electronic devices. At these scales, when domain sizes become comp…

physics.flu-dyn2021★ 26 cited

Efficient simulation of non-classical liquid-vapour phase-transition flows: a method of fundamental solutions

Anirudh S Rana, Sonu Saini, Suman Chakraborty +2

Classical continuum-based liquid vapour phase-change models typically assume continuity of temperature at phase interfaces along with a relation which describes the rate of evapora…

physics.flu-dyn2021★ 14 cited

-theorem and boundary conditions for the linear R26 equations: application to flow past an evaporating droplet

Anirudh S. Rana, Vinay Kumar Gupta, James E. Sprittles +1

Determining physically admissible boundary conditions for higher moments in an extended continuum model is recognised as a major obstacle. Boundary conditions for the regularised 2…

physics.flu-dyn2018★ 30 cited

Coupled constitutive relations: a second law based higher order closure for hydrodynamics

Anirudh Singh Rana, Vinay Kumar Gupta, Henning Struchtrup

In the classical framework, the Navier-Stokes-Fourier equations are obtained through the linear uncoupled thermodynamic force-flux relations which guarantee the non-negativity of t…