微通道中偶应力流体的非Fourier传热研究

薛博; 赵光普; 张佳莉; 张越; 王晗

doi:10.21656/1000-0887.460076

微通道中偶应力流体的非Fourier传热研究

doi: 10.21656/1000-0887.460076

内蒙古工业大学理学院, 呼和浩特 010051

基金项目:

国家自然科学基金 12562028

国家自然科学基金 11802147

内蒙古自治区高校科研项目基金 NJZZ23076

内蒙古自治区直属高校基本科研业务费 JY20230031

内蒙古自治区自然科学基金 2023MS01012

详细信息

作者简介:
薛博(2000—)，男，硕士(E-mail: 1950377630@qq.com)

通讯作者:
赵光普(1984—)，男，副教授，博士，硕士生导师(通信作者. E-mail: zhaoguangpu105@sina.com)

中图分类号: O357.1
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- 文章访问数: 38
- HTML全文浏览量: 15
- PDF下载量: 12
- 被引次数: 0
出版历程
- 收稿日期: 2025-04-14
- 修回日期: 2025-09-02
- 刊出日期: 2026-07-01

Non-Fourier Heat Transfer Study of Couple Stress Fluids in Microchannels

College of Science, Inner Mongolia University of Technology, Hohhot 010051, P.R. China

摘要

摘要: 研究了偶应力流体在微通道中的非Fourier热传导特性, 分析了偶应力参数、Hartmann数、Joule热效应和双相滞后时间参数对流体温度分布和热传递特性的影响. 通过建立相关的控制方程, 结合非Fourier热传导模型, 研究了不同物理效应的作用. 结果表明, 偶应力流体的流动性和热扩散特性受到上述参数的显著影响. 偶应力参数的增大加剧了温度梯度的变化, Hartmann数则增强了磁场对流体的约束, 抑制了热传导; Joule热效应促进了温度梯度的增大, 突出了非Fourier效应; 双相滞后时间参数的变化对温度峰值及响应速度具有明显调控作用.
- 微通道 /
- 偶应力流体 /
- 非Fourier热传导 /
- 温度分布
Abstract: The non-Fourier heat transfer characteristics of couple stress fluid in a microchannel were investigated, and effects of the couple stress parameters, the Hartmann number, the Joule heating effect and the 2-phase lag time parameters on the temperature distributions and heat transfer characteristics of the fluid were analyzed through establishment of the relevant governing equations combined with the non-Fourier heat transfer model. The results show that, the above parameters significantly influence the fluidity and heat diffusion characteristics of the couple stress fluid. The increase of the couple stress parameter aggravates the temperature gradient; the Hartmann number enhances the magnetic field confinement and inhibits the heat conduction; the Joule heating effect promotes the temperature gradient and highlights the non-Fourier effect; and the change of the biphasic hysteresis time parameter has a significant modulation effect on the temperature peak and the response speed.
- microchannel /
- couple stress fluid /
- non-Fourier heat transfer /
- temperature distribution

HTML全文

图 1 平行板微通道示意图

Figure 1. Schematic diagram of the parallel plate microchannels

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图 2 本模型的验证

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 2. The validation of the present model

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图 3 本研究的无量纲温度分布与Gauss-Jacobi数值积分结果对比(K=10, Ha=3, J=3, Br=0.01, γ=5, Pr=30, τ_q^*=2, τ_t^*=1)

Figure 3. Comparison of the dimensionless temperature distributions from this study with the results from the Gauss-Jacobi numerical integration (K=10, Ha=3, J=3, Br=0.01, γ=5, Pr=30, τ_q^*=2, τ_t^*=1)

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图 4 非Fourier传热与Fourier传热对比(K=10, Ha=1, Br=0.000 1, J=1, Pr=30, γ=5)

Figure 4. Comparison of non-Fourier heat transfer and Fourier heat transfer(K=10, Ha=1, Br=0.000 1, J=1, Pr=30, γ=5)

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图 5 不同偶应力参数γ的无量纲温度分布(K=20, Ha=0.1, Br=0.000 1, J=1, Pr=100, τ_q^*=τ_t^*=16)

Figure 5. Dimensionless temperature distributions for different coupling stress parameters γ (K=20, Ha=0.1, Br=0.000 1, J=1, Pr=100, τ_q^*=τ_t^*=16)

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图 6 不同Hartmann数的无量纲温度分布(K=20, γ=10, Br=0.000 1, J=1, Pr=100, τ_q^*=τ_t^*=16)

Figure 6. Dimensionless temperature distributions for different Hartmann numbers (K=20, γ=10, Br=0.000 1, J=1, Pr=100, τ_q^*=τ_t^*=16)

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图 7 不同Joule热参数J的无量纲温度分布(K=20, Ha=0.1, γ=10, Br=0.000 1, Pr=100, τ_q^*=1, τ_t^*=0.5)

Figure 7. Dimensionless temperature distributions for different Joule heating parameters J (K=20, Ha=0.1, γ=10, Br=0.000 1, Pr=100, τ_q^*=1, τ_t^*=0.5)

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图 8 不同τ_q^*的无量纲温度分布(K=20, Ha=1, γ=4.75, Pr=100, J=1)

Figure 8. Dimensionless temperature distributions for different τ_q^* (K=20, Ha=1, γ=4.75, Pr=100, J=1)

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图 9 不同τ_q^*的无量纲温度分布(K=20, Ha=1, γ=5, Pr=100, Br=0.000 1)

Figure 9. Dimensionless temperature distributions for different τ_q^* (K=20, Ha=1, γ=5, Pr=100, Br=0.000 1)

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图 10 不同Br的无量纲温度分布(K=20, Ha=1, γ=5, Pr=30, J=1, τ_q^*=0.5, τ_t^*=0.5)

Figure 10. Dimensionless temperature distributions for different Br (K=20, Ha=1, γ=5, Pr=30, J=1, τ_q^*=0.5, τ_t^*=0.5)

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图 11 不同Br数与Pr数组合下的无量纲温度对比(K=20, Ha=1, γ=10, J=10, τ_q^*=16, τ_t^*=16)

Figure 11. Comparison of dimensionless temperatures under different combinations of Br and Pr numbers (K=20, Ha=1, γ=10, J=10, τ_q^*=16, τ_t^*=16)

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图 12 偶应力项、MHD项、Joule热项及非Fourier时滞项单独作用与耦合作用的对比(K=20, Ha=2, γ=10, Pr=30, J=0.5, Br=0.000 1, τ_q^*=1, τ_t^*=0.5)

Figure 12. Comparison of the effects of isolated and coupled contributions from the couple stress term, the MHD term, the Joule heating term, and the non-Fourier time delay term (K=20, Ha=2, γ=10, Pr=30, J=0.5, Br=0.000 1, τ_q^*=1, τ_t^*=0.5)

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