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运用格子Boltzmann方法研究了底部局部加热多孔介质方腔的自然对流传热.方腔的上壁面为低温热源，下壁面为局部高温热源，左右壁面为绝热条件.重点分析了高温热源位置a及尺寸b对多孔介质方腔自然对流传热性能的影响，提出了平均Nusselt数Nu和位置a及尺寸b的拟合关系式.研究结果表明：高温热源位置及尺寸对多孔介质方腔内自然对流传热性质的影响很大，且存在最佳高温热源位置（a=4/16）和尺寸（b=0.75），以达到最强的对流换热强度（Numax 10.35）和最大的对流换热量（Qmax 5.69）.
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关键词:
- 自然对流传热 /
- 多孔介质 /
- 格子Boltzmann方法
The influence of bottom heat source on natural convective heat transfer characteristics in a two-dimensional square cavity fully filled with a homogeneous porous medium is numerically studied by the lattice Boltzmann method. In this physical model, the upper wall of porous cavity is set to be a cold heat source, and the bottom wall is designed as a local hot heat source. Both the left wall and the right wall are set to be adibatic. Specifically, the effects of both the position and size of bottom heat source on the properties of natural convective heat transfer are analyzed. The numerical results show that the position and size of bottom heat source have great influences on the characteristics of natural convective heat transfer, and there also exist the best position (a=4/16) and optimal size (b=0.75) of the bottom heat source for the maximal convective heat transfer intensity (Numax 10.35) and heat exchange capacity (Qmax 5.69).[1] Vafai K, Tien C L 1981 Int. J. Heat Mass Transf. 24 195
[2] Nield D A, Bejan A 1992 New York:Springer-Verlag
[3] Chen K, Yu Z S, Shao M X 2012 J. Zhejiang Univ. 46 549 (in Chinese)[陈凯, 余钊圣, 邵雪明2012浙江大学学报46 549]
[4] Yan W W, Liu Y, Guo Z L, Xu Y S 2006 Int. J. Mod. Phys. C 17 771
[5] Yang W, L Y F, Zhang S G 2014 J. Sichuan Univ. 51 340 (in Chinese)[杨伟, 吕亚飞, 张树光2014四川大学学报51 340]
[6] Kong X Y, Wu J B 2002 Acta Mech. Sin. 34 177 (in Chinese)[孔祥言, 吴建兵2002力学学报34 177]
[7] Fatih S 2016 Arab. J. Sci. Eng. 41 4701
[8] Zhang J Q, Chen X H, Chen R Y, Nie L R, Zheng Z G 2014 Eur. Phys. J. B 87 122
[9] Zhang J Q, Nie L R, Zhang X Y, Chen R Y 2014 Eur. Phys. J. B 87 285
[10] Zhang J Q, Nie L R, Chen C Y, Zhang X Y 2016 AIP Adv. 6 075212
[11] Yang W, Cao M, Guo D S, Zhao B X, Zhang M L, Fu C 2016 Chin. J. Hydrodyn. 31 107 (in Chinese)[杨伟, 曹明, 郭东升, 赵柄翔, 张美琳, 付超2016水动力学研究进展31 107]
[12] Qian Y H, d' Humieres D, Lallemand P 1992 Europhys. Lett. 17 479
[13] Chen S, Doolen G D 1998 Annu. Rev. Fluid Mech. 30 329
[14] Xu Y S 2003 Acta Phys. Sin. 52 626 (in Chinese)[许友生2003物理学报52 626]
[15] Yan W W, Su Z D, Zhang H J 2013 J. Chem. Technol. Biotechnol. 88 456
[16] Xiang R, Yan W W, Su Z D, Wu J, Zhang K, Bao F B 2014 Acta Phys. Sin. 63 164702 (in Chinese)[项蓉, 严微微, 苏中地, 吴杰, 张凯, 包福兵2014物理学报63 164702]
[17] Yan W W, Liu X L, Wu J, Wei Y K, Xu P 2016 Int. J. Mod. Phys. C 27 1650086
[18] Guo Z L, Zhao T S 2002 Phys. Rev. E 66 36304
[19] Nithiarasu P, Ravindran K 1998 Comput. Meth. Appl. Mech. Eng. 165 147
[20] Corvaro F, Paroncini M 2008 Appl. Therm. Eng. 28 25
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[1] Vafai K, Tien C L 1981 Int. J. Heat Mass Transf. 24 195
[2] Nield D A, Bejan A 1992 New York:Springer-Verlag
[3] Chen K, Yu Z S, Shao M X 2012 J. Zhejiang Univ. 46 549 (in Chinese)[陈凯, 余钊圣, 邵雪明2012浙江大学学报46 549]
[4] Yan W W, Liu Y, Guo Z L, Xu Y S 2006 Int. J. Mod. Phys. C 17 771
[5] Yang W, L Y F, Zhang S G 2014 J. Sichuan Univ. 51 340 (in Chinese)[杨伟, 吕亚飞, 张树光2014四川大学学报51 340]
[6] Kong X Y, Wu J B 2002 Acta Mech. Sin. 34 177 (in Chinese)[孔祥言, 吴建兵2002力学学报34 177]
[7] Fatih S 2016 Arab. J. Sci. Eng. 41 4701
[8] Zhang J Q, Chen X H, Chen R Y, Nie L R, Zheng Z G 2014 Eur. Phys. J. B 87 122
[9] Zhang J Q, Nie L R, Zhang X Y, Chen R Y 2014 Eur. Phys. J. B 87 285
[10] Zhang J Q, Nie L R, Chen C Y, Zhang X Y 2016 AIP Adv. 6 075212
[11] Yang W, Cao M, Guo D S, Zhao B X, Zhang M L, Fu C 2016 Chin. J. Hydrodyn. 31 107 (in Chinese)[杨伟, 曹明, 郭东升, 赵柄翔, 张美琳, 付超2016水动力学研究进展31 107]
[12] Qian Y H, d' Humieres D, Lallemand P 1992 Europhys. Lett. 17 479
[13] Chen S, Doolen G D 1998 Annu. Rev. Fluid Mech. 30 329
[14] Xu Y S 2003 Acta Phys. Sin. 52 626 (in Chinese)[许友生2003物理学报52 626]
[15] Yan W W, Su Z D, Zhang H J 2013 J. Chem. Technol. Biotechnol. 88 456
[16] Xiang R, Yan W W, Su Z D, Wu J, Zhang K, Bao F B 2014 Acta Phys. Sin. 63 164702 (in Chinese)[项蓉, 严微微, 苏中地, 吴杰, 张凯, 包福兵2014物理学报63 164702]
[17] Yan W W, Liu X L, Wu J, Wei Y K, Xu P 2016 Int. J. Mod. Phys. C 27 1650086
[18] Guo Z L, Zhao T S 2002 Phys. Rev. E 66 36304
[19] Nithiarasu P, Ravindran K 1998 Comput. Meth. Appl. Mech. Eng. 165 147
[20] Corvaro F, Paroncini M 2008 Appl. Therm. Eng. 28 25
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