Numerical Study of Gas Microflow within a Triangular Lid-driven Cavity

Elguennouni, Youssef; Hssikou, Mohamed; Baliti, Jamal; Alaoui, Mohammed

doi:10.25046/aj050571

Cited by 4 publications

(4 citation statements)

References 31 publications

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“…This study aims to simulate natural convection of water flow confined within an enclosed right-angled triangular and isosceles cavity by the MRT-LBM. This method has confirmed its validity and stability compared to the SRT method [23,24]. This is the reason why we opened this window of its first use for such a flow in this type of triangular cavity.…”

Section: Introductionmentioning

confidence: 52%

Simulation of Natural Convection by Multirelaxation Time Lattice Boltzmann Method in a Triangular Enclosure

Baliti

Elguennouni

Hssikou

et al. 2022

Fluids

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The natural convection of incompressible flow confined within an enclosed right-angled triangular and isosceles cavity was investigated numerically using the multirelaxation time lattice Boltzmann method (MRT-LBM). According to the left and inclined walls thermal boundary conditions, two cases were considered in this study. In the first case, the inclined side of the enclosure was adiabatic, and the horizontal wall was heated, while the left one was kept at a cold temperature. However, the states of the left and inclined walls were interchanged in the second case. As the flow is only transported under the convection force, this study was carried out for the Rayleigh number ranging from Ra=103 to 106. The effects of the Rayleigh number on velocity and temperature profiles, streamlines, isotherms, and average Nusselt number were investigated. The position of cold and adiabatic walls had a great effect on the results. The results obtained are in good agreement with those of the literature and show the robustness of the MRT-LBM approach. In both cases, the heat-transfer rate increases with the increase in the Rayleigh number.

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Section: Introductionmentioning

confidence: 52%

Simulation of Natural Convection by Multirelaxation Time Lattice Boltzmann Method in a Triangular Enclosure

Baliti

Elguennouni

Hssikou

et al. 2022

Fluids

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“…In these models, thermal and hydrodynamic behaviors of flow are easily followed up separately using two distribution functions by mean of the D2Q9 (for density) and D2Q5 (for temperature). In the current study, the flow is modeled using the thermal MRT‐LBM to address the SRT inaccuracies 40,41 …”

Section: Introductionmentioning

confidence: 99%

“…In the current study, the flow is modeled using the thermal MRT-LBM to address the SRT inaccuracies. 40,41 The goal of this work is to investigate numerically natural convection in a triangular cavity filled with water. MRT-LBM tool is applied to solve the coupled equations of temperature and flow fields.…”

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confidence: 99%

Cavity inclination effect on convection flow in a triangular geometry

et al. 2023

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In this study, the water convection flow within a right‐angled, inclined, and isosceles triangle enclosure for various inclination angles was numerically analyzed using the lattice Boltzmann method with the multirelaxation time model. On the hypotenuse side, the enclosure is thermally insulated, while the left and horizontal walls are kept, respectively, at cold and hot temperatures. This study was conducted to show the effects of two key parameters, the tilt angle ϕ $\phi $ and the Rayleigh number Ra $Ra$, whose changes span from 0∘ ${0}^{\circ }$ to 315∘ $31{5}^{\circ }$ and 5×103 $5\times 1{0}^{3}$ to 106 $1{0}^{6}$, respectively. The effect of these variables is presented in terms of streamlines, isotherms, velocity profiles, temperature plots, and the average Nusselt number. Furthermore, the impact of the size of a hot square obstruction inside the cavity on the isotherms and streamlines has been investigated. The findings demonstrate that the rate of heat transport is enhanced as the Rayleigh number increases. This result is in good agreement with earlier research without tilting the cavity. Depending on the Rayleigh number, the tilt angle has a significant effect on the rate of heat transmission.

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“…Therefore, the method ensures a link between the macro-and microscopic views of flow. Thus, LBM becomes a promising and powerful CFD tool as well as for microflow applications [13][14][15] usually reserved for pure kinetic approaches.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer of Gas Flow within a Partially Heated or Cooled Square Cavity

Hssikou

Elguennouni

Baliti

et al. 2020

Modelling and Simulation in Engineering

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Natural convection of gas flow (air) confined within an enclosed square-section cavity is investigated numerically using the lattice Boltzmann method (LBM). The right (left) side of the enclosure is partially heated (cooled) by a hot (cold) chip, while the left (right) one is completely kept at cold (hot) temperature. However, the horizontal walls and vertical parts near the chip are kept adiabatic. The buoyancy effect induced by the gravity acceleration, related to the convection force, is evaluated through the Rayleigh number in the range of 1 0 3 − 1 0 6 (laminar regime). The wall heating-ratio effect on the flow properties such as temperature and velocity profiles was examined. The heat transfer is analyzed through the Nusselt number for different chip lengths. Results show that the wall heat ratio has an interesting effect on the flow behavior. Results show good agreement with those of full natural convection in the literature, experimental, and simulation data.

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Numerical Study of Gas Microflow within a Triangular Lid-driven Cavity

Cited by 4 publications

References 31 publications

Simulation of Natural Convection by Multirelaxation Time Lattice Boltzmann Method in a Triangular Enclosure

Simulation of Natural Convection by Multirelaxation Time Lattice Boltzmann Method in a Triangular Enclosure

Cavity inclination effect on convection flow in a triangular geometry

Heat Transfer of Gas Flow within a Partially Heated or Cooled Square Cavity

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