Electrokinetic Flow and Heat Transfer in Soft Microtubes

XU Lina; JIAN Yongjun

doi:10.21656/1000-0887.390155

Volume 40 Issue 4

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XU Lina, JIAN Yongjun. Electrokinetic Flow and Heat Transfer in Soft Microtubes[J]. Applied Mathematics and Mechanics, 2019, 40(4): 408-418. doi: 10.21656/1000-0887.390155

Citation:

XU Lina, JIAN Yongjun. Electrokinetic Flow and Heat Transfer in Soft Microtubes[J]. Applied Mathematics and Mechanics, 2019, 40(4): 408-418. doi: 10.21656/1000-0887.390155

Citation:

XU Lina, JIAN Yongjun. Electrokinetic Flow and Heat Transfer in Soft Microtubes[J]. Applied Mathematics and Mechanics, 2019, 40(4): 408-418. doi: 10.21656/1000-0887.390155

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Electrokinetic Flow and Heat Transfer in Soft Microtubes

doi: 10.21656/1000-0887.390155

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P.R.China

Funds: The National Natural Science Foundation of China(11772162;11472140)

Received Date: 2018-05-29
Rev Recd Date: 2018-08-29
Publish Date: 2019-04-01

Abstract

Abstract

The electrokinetic flow and heat transfer characteristics of fluid in soft microtubes, of which the walls were covered by polyelectrolyte materials as the fixed charge layer, were studied based on previously obtained analytical solutions of electrical potentials and velocities, and numerical solutions of streaming potentials. Under the assumption of a constant wall heat flow, the energy equations including the effects of viscous dissipation and Joule heat were solved with the finite difference method and numerical solutions of the dimensionless temperature were obtained. Numerical calculations also gave the influences of related dimensionless parameters on the velocity, the temperature and the Nusselt number. The study shows that, when other parameters are fixed, the dimensionless velocity and temperature decrease with thickness d of the polyelectrolyte layer but increase with equivalent electric double layer to electric double layer thickness ratio K_λ; the Nusselt number decreases with Joule heat coefficient S and polyelectrolyte layer thickness d,but increases with K_λ.
- soft microtube,
- heat transfer,
- streaming potential,
- Nusselt number

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References(24)

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