Natural convection of power law fluid in square cavity equipped with heat-generating solid and submitted to two modes of time-periodic cooling: MRT-LBM simulation

IF 6.3 3区工程技术 Q1 ENGINEERING, CHEMICAL Journal of the Taiwan Institute of Chemical Engineers Pub Date : 2025-03-13 DOI:10.1016/j.jtice.2025.106067

A. Bourada , Y.K. Benkahla , A. Boutra , D.E. Ameziani

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Abstract

Background

This contribution deals with the numerical analysis of transient natural convection of power law fluid, filling a square cavity, in the presence of volumetric heat generation provided by a circular heat conductor solid, placed in the centre of the cavity. The cavity experiences two modes of time-periodic cooling: sinusoidal and triangular.

Methods

The numerical simulation is conducted using the multiple-relaxation-time lattice Boltzmann method and the boundary conditions at the circular obstacle are treated by coupling the spatial quadratic interpolation to the bounce back condition. The parametric study involves the effect of amplitude (0 ≤ A ≤ 2) and period (0.001 ≤ τ_p ≤ 1) of the time-periodic temperature, oscillation mode (sinusoidal and triangular), Rayleigh number (10³ ≤ Ra ≤ 10⁶), temperature-difference ratio (0 ≤ ΔT* ≤ 40) and power law index (0.7 ≤ n ≤ 1.3).

Significant findings

The results obtained show, on the one hand, that these parameters have a considerable effect on the fluid flow and heat transfer. Furthermore, it is noted that the choice of the cooling mode has an important role in the optimization of heat transfer. On the other hand, The MRT-LBM approach has been validated as effective for addressing such physical problems.

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幂律流体在装有发热固体的方形腔内的自然对流，并接受两种时间周期冷却模式：MRT-LBM模拟

本文研究了方形空腔中填充的幂律流体的瞬态自然对流的数值分析，该空腔中心有一个圆形导热体提供体积热。腔体经历两种时间周期冷却模式：正弦和三角形。方法采用多重松弛时间点阵玻尔兹曼方法进行数值模拟，并将空间二次插值与弹跳条件耦合处理圆形障碍物处的边界条件。参数化研究涉及时间周期温度的振幅（0≤A≤2）和周期（0.001≤τp≤1）、振荡模式（正弦和三角形）、瑞利数（103≤Ra≤106）、温差比（0≤ΔT*≤40）和幂律指数（0.7≤n≤1.3）的影响。结果表明，一方面，这些参数对流体流动和传热有相当大的影响。此外，指出冷却方式的选择对传热的优化具有重要作用。另一方面，MRT-LBM方法已被证实是解决此类物理问题的有效方法。

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来源期刊

Journal of the Taiwan Institute of Chemical Engineers 工程技术-工程：化工

CiteScore

9.10

自引率

14.00%

发文量

362

审稿时长

35 days

期刊介绍： Journal of the Taiwan Institute of Chemical Engineers (formerly known as Journal of the Chinese Institute of Chemical Engineers) publishes original works, from fundamental principles to practical applications, in the broad field of chemical engineering with special focus on three aspects: Chemical and Biomolecular Science and Technology, Energy and Environmental Science and Technology, and Materials Science and Technology. Authors should choose for their manuscript an appropriate aspect section and a few related classifications when submitting to the journal online.