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Viscous dissipation effects on thermal transport characteristics of combined pressure and electroosmotically driven flow in microchannels. (English) Zbl 1194.80064
Summary: This study investigates the influence of viscous dissipation on thermal transport characteristics of the fully developed combined pressure and electroosmotically driven flow in parallel plate microchannels subject to uniform wall heat flux. Closed form expressions are obtained for the transverse distributions of electrical potential, velocity and temperature and also for Nusselt number. From the results it is realized that the Brinkman number has a significant effect on Nusselt number. Generally speaking, to increase Brinkman number is to decrease Nusselt number. Although the magnitude of Joule heating can affect Brinkman number dependency of Nusselt number, however the general trend remains unchanged. Depending on the value of flow parameters, a singularity may occur in Nusselt number values even in the absence of viscous heating, especially at great values of dimensionless Joule heating term. For a given value of Brinkman number, as dimensionless Debye-Huckel parameter increases, the effect of viscous heating increases. In this condition, as dimensionless Debye-Huckel parameter goes to infinity, the Nusselt number approaches zero, regardless of the magnitude of Joule heating. Furthermore, it is realized that the effect of Brinkman number on Nusselt number for pressure opposed flow is more notable than purely electroosmotic flow, while the opposite is true for pressure assisted flow.

MSC:
80A20 Heat and mass transfer, heat flow (MSC2010)
76W05 Magnetohydrodynamics and electrohydrodynamics
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[1] Laser, D. J.; Santiago, J. G.: A review of micropumps, J. micromech. Microeng. 14, R35-R64 (2004)
[2] Burgreen, D.; Nakache, F. R.: Electrokinetic flow in ultrafine capillary slits, J. phys. Chem. 68, 1084-1091 (1964)
[3] Rice, C. L.; Whitehead, R.: Electrokinetic flow in a narrow cylindrical capillary, J. phys. Chem. 69, 4017-4024 (1965)
[4] Levine, S.; Marriott, J. R.; Neale, G.; Epstein, N.: Theory of electrokinetic flow in fine cylindrical capillaries at high zeta potentials, J. colloid interf. Sci. 52, 136-149 (1974)
[5] Yang, R. J.; Fu, L. M.; Hwang, C. C.: Electroosmotic entry flow in a microchannel, J. colloid interf. Sci. 244, 173-179 (2001)
[6] Maynes, D.; Webb, B. W.: Fully developed electroosmotic heat transfer in microchannels, Int. J. Heat mass transfer 46, 1359-1369 (2003) · Zbl 1047.76598
[7] Yang, C.; Li, D.; Masliyah, J. H.: Modeling forced liquid convection in rectangular microchannels with electrokinetic effects, Int. J. Heat mass transfer 41, 4229-4249 (1998) · Zbl 0962.76614
[8] Gleeson, J. P.: Electroosmotic flows with random zeta potential, J. colloid interf. Sci. 249, 217-226 (2002)
[9] Probstein, R. F.: Physicochemical hydrodynamics, (1994)
[10] Maynes, D.; Webb, B. W.: Fully developed thermal transport in combined pressure and electroosmotically driven flow in microchannels, J. heat transfer 125, 889-895 (2003)
[11] Chakraborty, S.: Analytical solutions of Nusselt number for thermally fully developed flow in microtubes under a combined action of electroosmotic forces and imposed pressure gradients, Int. J. Heat mass transfer 49, 810-813 (2006) · Zbl 1189.76777
[12] Zade, A. Q.; Manzari, M. T.; Hannani, S. K.: An analytical solution for thermally fully developed combined pressure-electroosmotically driven flow in microchannels, Int. J. Heat mass transfer 50, 1087-1096 (2007) · Zbl 1124.80388
[13] Jain, A.; Jensen, M. K.: Analytical modeling of electrokinetic effects on flow and heat transfer in microchannels, Int. J. Heat mass transfer 50, 5161-5167 (2007) · Zbl 1140.80331
[14] Chen, C. H.: Thermal transport characteristics of mixed pressure and electroosmotically driven flow in micro- and nanochannels with joule heating, J. heat transfer 131, 022401 (2009)
[15] Horiuchi, K.; Dutta, P.; Hossain, A.: Joule heating effects in mixed electroosmotic and pressure driven microflows under constant wall heat flux, J. eng. Math. 54, 159-180 (2006) · Zbl 1200.76223
[16] Dutta, P.; Horiuchi, K.; Yin, H. M.: Thermal characteristics of mixed pressure driven and electroosmotic microflows, Comput. math. Appl. 52, 651-670 (2006) · Zbl 1173.76301
[17] Dutta, P.; Horiuchi, K.: Heat transfer characteristics of mixed electroosmotic and pressure driven microflows, JSME int. J. B 49, 812-819 (2006) · Zbl 1173.76301
[18] Koo, J.; Kleinstreuer, C.: Viscous dissipation effects in microtubes and microchannels, Int. J. Heat mass transfer 47, 3159-3169 (2004)
[19] Koo, J.; Kleinstreuer, C.: Liquid flow in microchannels: experimental observations and computational analyses of microfluidics effects, J. micromech. Microeng. 13, 568-579 (2003)
[20] Maynes, D.; Webb, B. W.: The effect of viscous dissipation in thermally fully developed electroosmotic heat transfer in microchannels, Int. J. Heat mass transfer 47, 987-999 (2004)
[21] Sharma, A.; Chakraborty, S.: Semi analytical solution of the extended graetz problem for combined electroosmotically and pressure driven microchannel flows with step change in wall temperature, Int. J. Heat mass transfer 51, 4875-4885 (2008) · Zbl 1154.80343
[22] Liechty, B. C.; Webb, B. W.; Maynes, R. D.: Convective heat transfer characteristics of electro-osmotically generated flow in microtubes at high wall potential, Int. J. Heat mass transfer 48, 2360-2371 (2005) · Zbl 1189.76550
[23] Jeong, H. E.; Jeong, J. T.: Extended graetz problem including streamwise conduction and viscous dissipation in microchannel, Int. J. Heat mass transfer 49, 2151-2157 (2006) · Zbl 1189.76120
[24] Burmeister, L. C.: Convective heat transfer, (1983)
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