Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-13T05:40:48.622Z Has data issue: false hasContentIssue false

Electromagnetohydrodynamic Flow and Heat Transfer of Nanofluid in a Parallel Plate Microchannel

Published online by Cambridge University Press:  05 August 2016

G.-P. Zhao
Affiliation:
School of Mathematical ScienceInner Mongolia UniversityHohhot, China
Y.-J. Jian*
Affiliation:
School of Mathematical ScienceInner Mongolia UniversityHohhot, China
F.-Q. Li
Affiliation:
School of Mathematical ScienceInner Mongolia UniversityHohhot, China
*
*Corresponding author (jianyj@imu.edu.cn)
Get access

Abstract

The present study is devoted to electromagnetohydrodynamic (EMHD) flow and heat transfer characteristics of nanofluid inside a parallel plate microchannel. The nanofluid is actuated by Lorentz force which is originated from the interaction of applied electrical field and perpendicular magnetic field. A fully developed assumption with uniform flux at the surface is considered in the analysis, and the influences of viscous dissipation as well as Joule heating are also taken into account. The analytical solutions for velocity and temperature are derived. Moreover, the Nusselt number variations are examined. The results show that the Hartmann number, the dimensionless parameter S and the nanoparticls volume fraction have significant influences on flow and temperature of nanofluid. As Hartmann number increasing, the Nusselt number improves and similar trend can be observed with the augment of nanoparticls volume fraction. A diminishment of heat transfer performance can be seen with increase of the Joule parameter and Brinkman number, while an enhancement in heat transfer can be witnessed with increase of nanoparticls volume fraction.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Chio, S.U.S., Siginer, D.A. and Wang, H.P., Developments and Applications of Non-Newtonian Flows, ASME, New York, pp. 99105 (1995).Google Scholar
2. Das, S.K., Putra, N. and Roetzel, W., “Temperature dependence of thermal conductivity enhancement for Nanofluids,” ASME Journal of Heat Transfer, 125, pp. 567574 (2003).Google Scholar
3. Wang, X.Q. and Mujumdar, A.S., “Heat transfer characteristics of nanofluids: a review,” International Journal of Thermal Sciences, 46, pp. 119 (2007).Google Scholar
4. Wong, K.F.V. and Leon, O.D., “Applications of nanofluids: current and future,” Advances in Mechanical Engineering, 2, pp. 519659-1-11 (2010).Google Scholar
5. Saidur, R., Leong, K.Y. and Mohammad, H.A., “A review on applications and challenges of nanofluids,” Renewable and sustainable energy reviews, 15, pp. 16461668 (2011).Google Scholar
6. Shahbeddin, K., Mohammadian, , and zhang, Y.W., “Analysis of nanofluid effects on thermoelectric cooling by micro-pin-fin heat exchangers,” Applied Thermal Engineering, 70, pp. 282290 (2014).Google Scholar
7. Jian, Y.J., Liu, Q.S. and Yang, L.G., “AC electro-osmotic flow of generalized Maxwell fluids in a rectangular micro-channel,” Journal of Non-Newtonian Fluid Mechanics, 166, pp. 13041314 (2011).Google Scholar
8. Sun, Y. J., Jian, Y. J., Chang, L. and Liu, Q. S., “Thermally fully developed electroosmotic flow of power-law fluids in a circular microchannel,” Journal of Mechanics, 29, pp. 609616 (2013).CrossRefGoogle Scholar
9. Su, J., Jian, Y.J. and Chang, L., “Thermally fully developed electroosmotic flow through a rectangular microchannel,” Journal of Heat and Mass Transfer, 55, pp. 62856290 (2012).Google Scholar
10. Xie, Z.Y. and Jian, Y.J., “Rotating electroosmotic flow of power-law fluids at high zeta potential,” Colloids Surface A: Physicochemistry Engineering Aspects, 46, pp. 12311239 (2014).Google Scholar
11. Li, S.X., Jian, Y.J., Xie, Z.Y., Liu, Q.S. and Li, F.Q., “Rotating electro-osmotic flow of third grade fluids between two microparallel plates,” Colloids Surface A: Physicochemistry Engineering Aspects, 470, pp. 240247 (2015).Google Scholar
12. Laser, D.J. and Santiago, J.G., “A review of micropumps,” Journal of Micromechanics and Microengineering, 14, pp. 3564 (2004).CrossRefGoogle Scholar
13. Ramos, A., Microfluidic Technologies for Miniaturized Analysis Systems, Springer, New York, pp. 59116 (2007).Google Scholar
14. Bau, H.H., Zhu, J., Qian, S. and Xiang, Y., “A magneto-hydrodynamically controlled fluid network,” Sensors and actuators B: Chemical, 88, pp. 205216 (2003).Google Scholar
15. Qian, S. and Bau, H.H., “Magneto-hydrodynamics based microfluidics,” Mechanics Research Communications, 36, pp. 1021 (2009).Google Scholar
16. Jang, J. and Lee, S.S., “Theoretical and experimental study of MHD micropump,” Sensors and Actuators A: Physical, 80, pp. 8489 (2000).Google Scholar
17. Rivero, M. and Cuevas, S., “Analysis of the slip condition in magnetohydrodynamic (MHD) micropumps,” Sensors and actuators B: Chemical, 166, pp. 884892 (2012).Google Scholar
18. Duwairi, H. and Abdullah, M., “Thermal and flow analysis of a magneto-hydrodynamic micropump,” Microsystem technologies, 13, pp. 3339 (2007).Google Scholar
19. Ibáňez, G. and Cuevas, S., “Entropy generation minimization of a MHD (magnetohydrodynamic) flow in a microchannel,” Energy, 35, pp. 41494155 (2010).Google Scholar
20. Chakraborty, S. and Paul, D., “Microchannel flow control through a combined electromagnetohydrodynamic transport,” Journal of Physics D: Applied Physics, 39, pp. 53645371 (2006).Google Scholar
21. Chakraborty, R., Dey, R. and Chakraborty, S., “Thermal characteristics of electromagnetohydrodynamic flows in narrow channels with viscous dissipation and Joule heating under constant wall heat flux,” Journal of Heat and Mass Transfer, 67, pp. 11511162 (2013).Google Scholar
22. Tso, C.P. and Sundaravadivelu, K., “Capillary flow between parallel plates in the presence of electromagnetic field,” Journal of Physics D: Applied Physics, 34, pp. 35223527 (2001).Google Scholar
23. Buren, M., Jian, Y.J. and Chang, L., “Electromagnetohydrodynamic flow through a microparallel channel with corrugated walls,” Journal of Physics D: Applied Physics, 47, pp. 425501-1-8 (2014).Google Scholar
24. Si, D.Q. and Jian, Y.J., “Electromagnetohydrodynamic (EMHD) micropump of Jeffrey fluids through two parallel microchannels walls with corrugated,” Journal of Physics D: Applied Physics, 48, 085501 (2015).Google Scholar
25. Zhao, G.P., Jian, Y.J., Chang, L. and Buren, M., “Magnetohydrodynamic flow of generalized Maxwell fluids in a rectangular micropump under an AC electric field,” Journal of Magnetism and Magnetic Materials, 387, pp. 111117 (2015).Google Scholar
26. Jian, Y.J., Si, D.Q., Chang, L. and Liu, Q.S., “Transient rotating Electromagnetohydrodynamic micropumps between two infinite microparallel plates,” Chemistry Engineering Science, 134, pp. 1222 (2015).Google Scholar
27. Buren, M. and Jian, Y.J., “Electromagnetohydrodynamic (EMHD) flow between two transversely wavy microparallel plates,” Electrophoresis, 36, pp. 15391548 (2015).Google Scholar
28. Nguyen, N.T., “Micro-magnetofluidics: interactions between magnetism and fluid flow on the microscale,” Microfluid Nanofluid, 12, pp. 116 (2012).Google Scholar
29. Sheikholeslami, M., Abelman, S. and Ganji, D.D., “Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation,” Journal of Heat and Mass Transfer, 79, pp. 212222 (2014).Google Scholar
30. Mahian, O., Pop, I., Sahin, A.Z., Oztop, H.F. and Wongwises, S., “Irreversibility analysis of a vertical annulus using TiO2/water nanofluid with MHD flow effects,” Journal of Heat and Mass Transfer, 64, pp. 671679 (2013).Google Scholar
31. Sarkar, S., Ganguly, S. and Biswas, G., “Buoyancy driven convection of nanofluids in an infinitely long channel under the effect of a magnetic field,” Journal of Heat and Mass Transfer, 71, pp. 328340 (2014).Google Scholar
32. Ganguly, S. and Sarkar, S., “Thermally developing combined electroosmotic and pressure-driven flow of nanofluid in a microchannel under the effect of magnetic field,” Chemical Engineering Science, 126, pp. 1021 (2014).Google Scholar
33. Sarkar, S. and Ganguly, S., “Fully developed thermal transport in combined pressure and electroosmotically driven flow of nanofluid in microchannel under the effect of a magnetic field,” Microfluid Nanofluid, 18, pp. 623636 (2015).Google Scholar
34. Malvandi, A. and Ganji, D.D., “Magnetic field effect on nanoparticles migration and heat transfer of water/alumina nanofluid in channel,” Journal of Magnetism and Magnetic Materials, 362, pp. 172179 (2014).CrossRefGoogle Scholar
35. Turkilmazoglu, M., “Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids,” Chemical Engineering Science, 84, pp. 182187 (2012).Google Scholar
36. Shahidian, A., Ghassemi, M. and Mohammadi, R., “Effect of nanofluid properties on magnetohydrodynamic pump (MHD),” Advanced Materials Research, 403, pp. 663669 (2012).Google Scholar
37. Zhao, G.P., Jian, Y.J. and Li, F.Q., “Streaming potential and heat transfer of nanofluids in microchannels in the presence of magnetic field,” Journal of Magnetism and Magnetic Materials, 407, pp. 7582 (2016).Google Scholar
38. Brinkman, H.C., “The viscosity of concentrated suspensions and solutions,” Chemical physics, 20, pp. 571581 (1952).Google Scholar
39. Maxwell, J.C., Conduction in Heterogeneous Media: A treatise on electricity and magnetism, Dover reprint, New York (1954).Google Scholar
40. Xuan, Y. and Li, Q., “Investigation on convective heat transfer and flow features of nanofluids,” ASME Journal of Heat Transfer, 125, pp. 151155 (2003).Google Scholar