Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity

doi:10.1007/s10483-017-2155-6

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (1): 125-136.doi: https://doi.org/10.1007/s10483-017-2155-6

Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity

Jing ZHU¹, Shengnan WANG¹, Liancun ZHENG¹, Xinxin ZHANG²

1. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China;
2. Department of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

收稿日期:2016-03-15 修回日期:2016-06-08 出版日期:2017-01-01 发布日期:2017-01-01
通讯作者: Jing ZHU,E-mail:zhujing@ustb.edu.cn E-mail:zhujing@ustb.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 51476191 and 51406008)

Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity

Jing ZHU¹, Shengnan WANG¹, Liancun ZHENG¹, Xinxin ZHANG²

1. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China;
2. Department of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

Received:2016-03-15 Revised:2016-06-08 Online:2017-01-01 Published:2017-01-01
Contact: Jing ZHU E-mail:zhujing@ustb.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 51476191 and 51406008)

摘要/Abstract

摘要：

The heat transfer of a magnetohydrodynamics nanofluid inside an annulus considering the second-order slip condition and nanoparticle migration is theoretically investigated. A second-order slip condition, which appropriately represents the non-equilibrium region near the interface, is prescribed rather than the no-slip condition and the linear Navier slip condition. To impose different temperature gradients, the outer wall is subjected to q₂, the inner wall is subjected to q₁, and q₁>q₂. A modified two-component four-equation non-homogeneous equilibrium model is employed for the nanofluid, which have been reduced to two-point ordinary boundary value differential equations in the consideration of the thermally and hydrodynamically fully developed flow. The homotopy analysis method (HAM) is employed to solve the equations, and the h-curves are plotted to verify the accuracy and efficiency of the solutions. Moreover, the effects of the physical factors on the flow and heat transfer are discussed in detail, and the semi-analytical relation between N_uB and N_BT is obtained.

关键词: nanoparticle migration, semi-analytical relation, nanofluid, homotopy analysis method (HAM), second-order slip

Abstract:

Key words: second-order slip, semi-analytical relation, nanoparticle migration, homotopy analysis method (HAM), nanofluid

中图分类号:

O241.81

Jing ZHU, Shengnan WANG, Liancun ZHENG, Xinxin ZHANG. Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(1): 125-136.

参考文献

[1] Wang, F. C. and Wu, H. A. Enhanced oil droplet detachment from solid surfaces in charged nanoparticle suspensions. Soft Matter, 9, 7974-7980(2013)
[2] Qin, X. C., Yuan, Q. Z., Zhao, Y. P., Xie, S. B., and Liu, Z. F. Measurement of the rate of water translocation through carbon nanotubes. Nano Letters, 11, 2173-2177(2011)
[3] Li, Y. Q., Wang, F. C., Liu, H., and Wu, H. A. Nanoparticle-tuned spreading behavior of nanofluid droplets on the solid substrate. Microfluid Nanofluid, 18, 111-120(2015)
[4] Yuan, Q. Z. and Zhao, Y. P. Precursor film in dynamic wetting, electrowetting, and electro-elastocapillarity. Physical Review Letters, 104, 1-4(2010)
[5] Thompson, P. A. and Troian, S. M. A general boundary condition for liquid flow at solid surfaces. nature, 389, 360-362(1997)
[6] Wang, F. C. and Zhao, Y. P. Slip boundary conditions based on molecular kinetic theory:the critical shear stress and the energy dissipation at the liquidCsolid interface. Soft Matter, 7, 8628-8634(2011)
[7] Wu, L. A. A slip model for rarefied gas flows at arbitrary Knudsen number. Applied Physics Letters, 93, 1-3(2008)
[8] Beskok, A. and Karniadakis, G. E. Rarefaction and compressibility effects in gas microflows. Journal of Fluids Engineering, 118, 448-456(1996)
[9] Zhu, J., Yang, D., Zheng, L. C., and Zhang, X. X. Effects of second order velocity slip and nanoparticles migration on flow of Buongiorno nanofluid. Applied Mathematics Letters, 52, 183-191(2016)
[10] Buongiorno, J. Convective transport in nanofluids. Journal of Heat Transfer, 128, 240-250(2006)
[11] Sheikholeslami, M., Vajravelu, K., and Rashidi, M. M. Forced convection heat transfer in a semi annulus under the influence of a variable magnetic field. International Journal of Heat and Mass Transfer, 92, 339-348(2016)
[12] Kasaeipoor, A., Ghasemi, B., and Aminossadati, S. M. Convection of Cu-water nanofluid in a vented T-shaped cavity in the presence of magnetic field. International Journal of Thermal Sciences, 94, 50-60(2015)
[13] Asad, S., Alsaedi, A., and Hayat, T. Flow of couple stress fluid with variable thermal conductivity. Applied Mathematics and Mechanics (English Edition), 37(3), 315-324(2016) DOI 10.1007/s10483-016-2031-6
[14] Hassan, H. and Harmand, S. Effect of using nanofluids on the performance of rotating heat pipe. Applied Mathematical Modelling, 39, 4445-4462(2015)
[15] Pak, B. C. and Cho, Y. I. Hydrodynamic and heat transfer studyof dispersed fluids with submicron metallic oxide particles. Experimental Heat Transfer, 11, 151-170(1998)
[16] Hakeem, A. K. A. and Sathiyanathan, K. An analytic solution of an oscillatory flow through a porous medium with radiation effect. Nonlinear Analysis:Hybrid Systems, 3, 288-295(2009)
[17] Liao, S. J. On the homotopy analysis method for nonlinear problems. Applied Mathematics and Computation, 147, 499-513(2004)
[18] Fan, T. Applications of Homotopy Analysis Method in Boundary Layer Flow and Nanofluid Flow Problems(in Chinese), Ph. D. dissertation, Shanghai Jiao Tong University, Shanghai (2012)
[19] Malvandi, A. and Ganji, D. D. Brownian motion and thermophoresis effects on slip flow of alumina/water nanofluid inside a circular microchannel in the presence of a magnetic field. International Journal of Thermal Sciences, 84, 196-206(2014)

Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity

Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	N. HUMNEKAR, D. SRINIVASACHARYA. Influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 563-580.
[2]	C. G. PAVITHRA, B. J. GIREESHA, M. L. KEERTHI. Semi-analytical investigation of heat transfer in a porous convective radiative moving longitudinal fin exposed to magnetic field in the presence of a shape-dependent trihybrid nanofluid[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 197-216.
[3]	L. ANITHA, B. J. GIREESHA. Convective flow of Jeffrey nanofluid along an upright microchannel with Hall current and Buongiorno model: an irreversibility analysis[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(9): 1613-1628.
[4]	A. V. ROŞCA, N. C. ROŞCA, I. POP. Three-dimensional mixed convection stagnation-point flow past a vertical surface with second-order slip velocity[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 641-652.
[5]	B. K. SHARMA, R. GANDHI, T. ABBAS, M. M. BHATTI. Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(3): 459-476.
[6]	S. P. V. ANANTH, B. N. HANUMAGOWDA, S. V. K. VARMA, C. S. K. RAJU, I. KHAN, P. RANA. Thermo-diffusion impact on immiscible flow characteristics of convectively heated vertical two-layered Baffle saturated porous channels in a suspension of nanoparticles: an analytical study[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 307-324.
[7]	Shuguang LI, M. I. KHAN, F. ALI, S. S. ABDULLAEV, S. SAADAOUI, HABIBULLAH. Mathematical modeling of mixed convective MHD Falkner-Skan squeezed Sutterby multiphase flow with non-Fourier heat flux theory and porosity[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(11): 2005-2018.
[8]	Qingkai ZHAO, Longbin TAO, Hang XU. Analysis of periodic pulsating nanofluid flow and heat transfer through a parallel-plate channel in the presence of magnetic field[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(11): 1957-1972.
[9]	A. M. ALSHARIF, A. I. ABDELLATEEF, Y. A. ELMABOUD, S. I. ABDELSALAM. Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: fractional Cattaneo heat flux problem[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(6): 931-944.
[10]	N. A. ZAINAL, R. NAZAR, K. NAGANTHRAN, I. POP. Slip effects on unsteady mixed convection of hybrid nanofluid flow near the stagnation point[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(4): 547-556.
[11]	S. HUSSAIN, T. TAYEBI, T. ARMAGHANI, A. M. RASHAD, H. A. NABWEY. Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 447-466.
[12]	Weipeng HU, Zhen WANG, Yulu HUAI, Xiqiao FENG, Wenqi SONG, Zichen DENG. Effects of temperature change on the rheological property of modified multiwall carbon nanotubes[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(10): 1503-1514.
[13]	I. WAINI, A. ISHAK, I. POP. Magnetohydrodynamic flow past a shrinking vertical sheet in a dusty hybrid nanofluid with thermal radiation[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(1): 127-140.
[14]	Hang XU. Mixed convective flow of a hybrid nanofluid between two parallel inclined plates under wall-slip condition[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(1): 113-126.
[15]	J. K. MADHUKESH, G. K. RAMESH, B. C. PRASANNAKUMARA, S. A. SHEHZAD, F. M. ABBASI. Bio-Marangoni convection flow of Casson nanoliquid through a porous medium in the presence of chemically reactive activation energy[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(8): 1191-1204.