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Journal ArticleDOI

Investigation of heat and mass transfer in a lid-driven cavity under nonequilibrium flow conditions

TLDR
Gaseous flow and heat transfer in a lid-driven cavity under nonequilibrium flow conditions is investigated using the direct simulation Monte Carlo method, from the slip to the free-molecular regime.
Abstract
Gaseous flow and heat transfer in a lid-driven cavity under nonequilibrium flow conditions is investigated using the direct simulation Monte Carlo method, from the slip to the free-molecular regime. The emphasis is on understanding thermal flow features. The impact of the lid velocity and various degrees of rarefaction on the shear stress and heat flux rates are analyzed. The role of expansion cooling and viscous dissipation on the heat transfer mechanism is investigated. Complex heat flow phenomena, such as counter-gradient heat transfer, are revealed by the simulations which the conventional Navier-Stokes-Fourier equations are not able to capture, even in the slip-flow regime.

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Citations
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Journal ArticleDOI

Mixed convection heat transfer in a ventilated cavity with hot obstacle: Effect of nanofluid and outlet port location

TL;DR: In this article, the effect of suspension of nanoparticles on mixed convection in a square cavity with inlet and outlet ports and hot obstacle in the center of the cavity was investigated.
Journal ArticleDOI

Collision partner selection schemes in DSMC: From micro/nano flows to hypersonic flows

TL;DR: In this paper, the authors present a detailed summary of different collision models developed in the framework of the direct simulation Monte Carlo (DSMC) method, i.e., the simplified Bernoulli trial (SBT), which permits efficient low-memory simulation of rarefied gas flows.
Journal ArticleDOI

Solving the Boltzmann equation deterministically by the fast spectral method: application to gas microflows

TL;DR: In this paper, the authors present an accurate and efficient deterministic numerical method for solving the Boltzmann equation based on the fast spectral approximation to the collision operator, where the influence of different molecular models on the mass and heat flow rates is assessed, and the Onsager-Casimir relation at the microscopic level for large Knudsen numbers is demonstrated.
Journal ArticleDOI

A robust numerical method for the R13 equations of rarefied gas dynamics: Application to lid driven cavity

TL;DR: A finite difference scheme to compute steady state solutions of the regularized 13 moment (R13) equations of rarefied gas dynamics and may be considered as a reliable alternative mathematical model for complex industrial problems at moderate Knudsen numbers.
Journal ArticleDOI

A comparative study of discrete velocity methods for low-speed rarefied gas flows

TL;DR: In this article, the performance of the discrete velocity method (DVM) and discrete unified gas-kinetic scheme (DUGKS) in finding steady-state solutions of low-speed force-driven Poiseuille and lid-driven cavity flows is investigated.
References
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Book

Molecular Gas Dynamics and the Direct Simulation of Gas Flows

TL;DR: The direct simulation Monte Carlo (or DSMC) method has, in recent years, become widely used in engineering and scientific studies of gas flows that involve low densities or very small physical dimensions as mentioned in this paper.
Book

Microflows and Nanoflows: Fundamentals and Simulation

TL;DR: In this article, a multiscale model of gas flows is proposed for continuoustime simulation, and a reduced-order model of liquid flows is presented for reduced order simulation.