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  1. 2 Open Physics

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  1. 1 2014

  2. 1 2013

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  1. 2 Li X.

  2. 2 Wang S.

  3. 2 Zhao M.

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Transient electro-osmotic flow of generalized Maxwell fluids in a straight pipe of circular cross section

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Wang S., Zhao M., Li X.
Open Physics
|
2014
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vol. 12
|
issue 6
445-451
EN
The transient electro-osmotic flow of a generalized Maxwell fluid with fractional derivative in a narrow capillary tube is examined. With the help of an integral transform method, analytical expressions are derived for the electric potential and transient velocity profile by solving the linearized Poisson-Boltzmann equation and the Navier-Stokes equation. It was shown that the distribution and establishment of the velocity consists of two parts, the steady part and the unsteady one. The effects of relaxation time, fractional derivative parameter, and the Debye-Hückel parameter on the generation of flow are shown graphically and analyzed numerically. The velocity overshoot and oscillation are observed and discussed.
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Two methods to solve a fractional single phase moving boundary problem

100%
Li X., Wang S., Zhao M.
Open Physics
|
2013
|
vol. 11
|
issue 10
1387-1391
EN
A moving boundary problem of a melting problem is considered in this study. A mathematical model using the Caputo fractional derivative heat equation is proposed in the paper. Since moving boundary problems are difficult to solve for the exact solution, two methods are presented to approximate the evolution of the temperature. To simplify the computation, a similarity variable is adopted in order to reduce the partial differential equations to ordinary ones.
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