Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition

D’Orazio, Annunziata; Corcione, Massimo; Celata, Gian Piero

doi:10.1016/j.ijthermalsci.2003.11.002

Cited by 154 publications

(58 citation statements)

References 38 publications

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“…This term, can be added to rp to obtain an effective pressure gradient rp 0 = r(p + 1/2w 2 ), which increases the pressure near the wall. A similar inclusion of gradients of scalar potentials has been reported in the context of buoyancy-driven flows (de Vahl Davis 1983;D'Orazio et al 2004) and thermomagnetic convection (Mukhopadhyay et al 2005) in enclosures. The pressure can be obtained form the relation p 0 ¼ 1 3 qc 2 : At all the four walls no-slip boundary condition is applied as proposed by Zou and He (1997).…”

Section: And 'supporting

confidence: 61%

Lattice Boltzmann method simulation of electroosmotic stirring in a microscale cavity

Mukhopadhyay

Puri

2007

Microfluid Nanofluid

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The suitable surface modification of microfluidic channels can enable a neutral electrolyte solution to develop an electric double layer (EDL). The ions contained within the EDL can be moved by applying an external electric field, inducing electroosmotic flows (EOFs) that results in associated stirring. This provides a solution for the rapid mixing required for many microfluidic applications. We have investigated EOFs generated by applying a steady electric field across a square cavity that has homogenous electric potentials along its walls. The flowfield is simulated using the lattice Boltzmann method. The extent of mixing is characterized for different electrode configurations and electric field strengths. We find that rapid mixing can be achieved by using this simple configuration which increases with increasing electric field strength. The mixing time for water-soluble organic molecules can be decreased by four orders of magnitude by suitable choice of wall zeta potential and electric field.

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Section: And 'supporting

confidence: 61%

Lattice Boltzmann method simulation of electroosmotic stirring in a microscale cavity

Mukhopadhyay

Puri

2007

Microfluid Nanofluid

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“…By performing Taylor-series expansion analysis and conservation laws, it can be proven that Equations (24)- (26) in the predictor step can recover corresponding macroscopic Equations (17)- (19) with the second-order of accuracy both in time and in space. However, in the corrector step, it can be shown that when recovering macroscopic Equations (21) and (22), Equations (28) and (29) maintain the second-order of accuracy in space, but present a Euler scheme in time marching, which is only in the first-order of Appl.…”

Section: Simplified Thermal Lattice Boltzmann Methods (Stlbm)mentioning

confidence: 99%

A Truly Second-Order and Unconditionally Stable Thermal Lattice Boltzmann Method

2017

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An unconditionally stable thermal lattice Boltzmann method (USTLBM) is proposed in this paper for simulating incompressible thermal flows. In USTLBM, solutions to the macroscopic governing equations that are recovered from lattice Boltzmann equation (LBE) through Chapman-Enskog (C-E) expansion analysis are resolved in a predictor-corrector scheme and reconstructed within lattice Boltzmann framework. The development of USTLBM is inspired by the recently proposed simplified thermal lattice Boltzmann method (STLBM). Comparing with STLBM which can only achieve the first-order of accuracy in time, the present USTLBM ensures the second-order of accuracy both in space and in time. Meanwhile, all merits of STLBM are maintained by USTLBM. Specifically, USTLBM directly updates macroscopic variables rather than distribution functions, which greatly saves virtual memories and facilitates implementation of physical boundary conditions. Through von Neumann stability analysis, it can be theoretically proven that USTLBM is unconditionally stable. It is also shown in numerical tests that, comparing to STLBM, lower numerical error can be expected in USTLBM at the same mesh resolution. Four typical numerical examples are presented to demonstrate the robustness of USTLBM and its flexibility on non-uniform and body-fitted meshes.

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“…As with the single-phase system, this model has been validated over many years by repeated analyses and comparisons with analytical and experimental results [14,16,18,44,45]. It has been successfully applied to a variety of thermal flow problems including natural convection [14,18,44,[46][47][48][49][50], turbulent convection [51][52][53][54], thermal channel flows [14,40,55,56] and more complex systems involving multiple phases and phase change [57][58][59][60][61][62][63][64][65].…”

Section: Thermohydrodynamicsmentioning

confidence: 99%

A Non-Isothermal Chemical Lattice Boltzmann Model Incorporating Thermal Reaction Kinetics and Enthalpy Changes

Bartlett

2017

Computation

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Abstract:The lattice Boltzmann method is an efficient computational fluid dynamics technique that can accurately model a broad range of complex systems. As well as single-phase fluids, it can simulate thermohydrodynamic systems and passive scalar advection. In recent years, it also gained attention as a means of simulating chemical phenomena, as interest in self-organization processes increased. This paper will present a widely-used and versatile lattice Boltzmann model that can simultaneously incorporate fluid dynamics, heat transfer, buoyancy-driven convection, passive scalar advection, chemical reactions and enthalpy changes. All of these effects interact in a physically accurate framework that is simple to code and readily parallelizable. As well as a complete description of the model equations, several example systems will be presented in order to demonstrate the accuracy and versatility of the method. New simulations, which analyzed the effect of a reversible reaction on the transport properties of a convecting fluid, will also be described in detail. This extra chemical degree of freedom was utilized by the system to augment its net heat flux. The numerical method outlined in this paper can be readily deployed for a vast range of complex flow problems, spanning a variety of scientific disciplines.

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Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition

Cited by 154 publications

References 38 publications

Lattice Boltzmann method simulation of electroosmotic stirring in a microscale cavity

Lattice Boltzmann method simulation of electroosmotic stirring in a microscale cavity

A Truly Second-Order and Unconditionally Stable Thermal Lattice Boltzmann Method

A Non-Isothermal Chemical Lattice Boltzmann Model Incorporating Thermal Reaction Kinetics and Enthalpy Changes

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