This paper uses eigenexpansion technique to describe electro-osmotic effect on unsteady intrusion of a viscous liquid driven by capillary action in a narrow channel. It shows how the dynamics can be manipulated by imposing an electric field along the flow direction in the presence of free charges. Similar manipulation can generate controlled transiency in motion of a complex fluid in a tube by nondestructive forcing leading to efficient rheological measurement. Existing theories analyze similar phenomena by accounting for all involved forces among which the viscous contribution is calculated assuming a steady velocity profile. However, if the transport is strongly transient, a new formulation without an underlying quasi-steady assumption is needed for accurate prediction of the time-dependent penetration. Such rigorous mathematical treatment is presented in this paper where an eigenfunction expansion is used to represent the unsteady flow. Then, a system of ordinary differential equations is derived from which the unknown time-dependent amplitudes of the expansion are determined along with the temporal variation in encroached length. The outlined methodology is applied to solve problems with both constant and periodically fluctuating electric field. In both cases, simplified and convenient analytical models are constructed to provide physical insight into numerical results obtained from the full solution scheme. The detailed computations and the simpler reduced model corroborate each other verifying accuracy of the former and assuring utility of the latter. Thus, the theoretical findings can render a new rheometric technology for effective determination of fluid properties.
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September 2018
Research-Article
Detailed Description of Electro-Osmotic Effect on an Encroaching Fluid Column Inside a Narrow Channel
Rakhitha Udugama Sumanasekara,
Rakhitha Udugama Sumanasekara
Department of Mechanical Engineering,
Texas Tech University,
Lubbock, TX 79409
e-mail: rakhitha.udugama-arachchilage@ttu.edu
Texas Tech University,
Lubbock, TX 79409
e-mail: rakhitha.udugama-arachchilage@ttu.edu
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Sukalyan Bhattacharya
Sukalyan Bhattacharya
Department of Mechanical Engineering,
Texas Tech University,
Lubbock, TX 79409
e-mail: s.bhattacharya@ttu.edu
Texas Tech University,
Lubbock, TX 79409
e-mail: s.bhattacharya@ttu.edu
Search for other works by this author on:
Rakhitha Udugama Sumanasekara
Department of Mechanical Engineering,
Texas Tech University,
Lubbock, TX 79409
e-mail: rakhitha.udugama-arachchilage@ttu.edu
Texas Tech University,
Lubbock, TX 79409
e-mail: rakhitha.udugama-arachchilage@ttu.edu
Sukalyan Bhattacharya
Department of Mechanical Engineering,
Texas Tech University,
Lubbock, TX 79409
e-mail: s.bhattacharya@ttu.edu
Texas Tech University,
Lubbock, TX 79409
e-mail: s.bhattacharya@ttu.edu
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 15, 2017; final manuscript received February 28, 2018; published online May 2, 2018. Assoc. Editor: Moran Wang.
J. Fluids Eng. Sep 2018, 140(9): 091105 (12 pages)
Published Online: May 2, 2018
Article history
Received:
May 15, 2017
Revised:
February 28, 2018
Citation
Sumanasekara, R. U., and Bhattacharya, S. (May 2, 2018). "Detailed Description of Electro-Osmotic Effect on an Encroaching Fluid Column Inside a Narrow Channel." ASME. J. Fluids Eng. September 2018; 140(9): 091105. https://doi.org/10.1115/1.4039708
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