The dielectrophoretic and travelling wave forces generated by interdigitated electrode arrays: analytical solution using Fourier series

The objective of this article is to derive an analytical solution for a two-dimensional temperature field in a hollow cylinder, which is subjected to a periodic boundary condition at the outer surface, while the inner surface is insulated. The material is assumed to be homogeneous and isotropic with time-independent thermal properties. Because of the time-dependent term in the boundary condition, Duhamel's theorem is used to solve the problem for a periodic boundary condition. The periodic boundary condition is decomposed using the Fourier series. This condition is simulated with harmonic oscillation; however, there are some differences with the real situation. To solve this problem, first of all the boundary condition is assumed to be steady. By applying the method of separation of variables, the temperature distribution in a hollow cylinder can be obtained. Then, the boundary condition is assumed to be transient. In both these cases, the solutions are separately calculated. By using Duhamel's theorem, the temperature distribution field in a hollow cylinder is obtained. The final result is plotted with respect to the Biot and Fourier numbers. There is good agreement between the results of the proposed method and those reported by others for this geometry under a simple harmonic boundary condition.

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Mathematical modeling of interdigitated electrode arrays in finite electrochemical cells

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2013.07.014 ◽

2013 ◽

Vol 705 ◽

pp. 19-29 ◽

Cited By ~ 3

Author(s):

Cristian Guajardo ◽

Sirimarn Ngamchana ◽

Werasak Surareungchai

Keyword(s):

Mathematical Modeling ◽

Electrochemical Cells ◽

Electrode Arrays ◽

Interdigitated Electrode

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Morphological and Electrical Properties of Silicon Dioxide-Based Interdigitated Electrode Arrays

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.1109.253 ◽

2015 ◽

Vol 1109 ◽

pp. 253-256 ◽

Cited By ~ 1

Author(s):

M.A. Farehanim ◽

U. Hashim ◽

Norhayati Soin ◽

A.H. Azman ◽

S. Norhafiezah ◽

...

Keyword(s):

Electrical Properties ◽

Silicon Dioxide ◽

Ph Value ◽

Ph Measurement ◽

Electrode Arrays ◽

Interdigitated Electrode ◽

Buffer Solutions ◽

Ph Values ◽

Ph Buffer ◽

Higher Sensitivity

The electrical performances of silicon dioxide-based Interdigitated electrodes (IDEs) as biosensor were developed. The IDEs was made up by two individually addressable Interdigitated comb-like finger structure have frequently been suggested as a biosensor which promises higher sensitivity compared to conventional parallel electrodes. The purpose of this paper was to investigate the capacitance test and impedance test to taken with various pH solution to observe the response of the sensor with different pH values. Purchased pH buffer solutions which varied from pH2 to pH10 are dropped on the microelectrode and the effect on it is investigated for the application in pH measurement. This research has proven that increase in pH value from acidic to alkaline is proportional with capacitance. The measured values of capacitance with respect to each pH concentrations applied during the measurements were repeatable and reproducible.

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