Electroosmotic Flows of Powell-Eyring Fluids in pH-Regulated Parallel Plate Nanochannels

CHANG Long; BUREN Mandula; NA Ren; SUN Yanjun; JIAN Yongjun

doi:10.21656/1000-0887.450137

Volume 46 Issue 1

Jan. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(1): 72-83

CHANG Long, BUREN Mandula, NA Ren, SUN Yanjun, JIAN Yongjun. Electroosmotic Flows of Powell-Eyring Fluids in pH-Regulated Parallel Plate Nanochannels[J]. Applied Mathematics and Mechanics, 2025, 46(1): 72-83. doi: 10.21656/1000-0887.450137

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Electroosmotic Flows of Powell-Eyring Fluids in pH-Regulated Parallel Plate Nanochannels

doi: 10.21656/1000-0887.450137

1. School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, P.R.China;
2. College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, P.R.China;
3. School of Mathematics and Statistics, Donghua University, Shanghai 201620, P.R.China;
4. Institute of Nonlinear Sciences, Donghua University, Shanghai 201620, P.R.China

Funds:

11862018

12262026)

The National Science Foundation of China(12162003

Received Date: 2024-05-12
Rev Recd Date: 2024-06-07

Abstract

Abstract

Under the adjustment of solution pH values and background salt concentrations, the electroosmotic flows of the Powell-Eyring fluids in parallel plate nanochannels were studied with the homotopic perturbation method, and approximate solutions were obtained. The accuracy of the obtained approximate solution was verified with the Chebyshev spectrum configuration method. On this basis, the effects of dimensionless pressure gradient G, background salt concentration M_KCI, the pH value, and the viscosity ratio γ of the Powell-Eyring fluid and the Newtonian fluid, on velocity profile u and volume flow rate (average velocity)Q, were studied. The results demonstrate that, the homotopy perturbation method converges rapidly, requiring only an expansion up to the 1st-order solution to perfectly match the numerical solution. Meanwhile,M_KCI,pH,γ and G have significant effects on the charge density and the electroosmotic flow velocity of the Powell-Eyring fluid in the nanochannel.
- pH-regulation,
- Powell-Eyring fluid,
- electroosmotic flow,
- functional group

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References(37)

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