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

100%
Wang S., Zhao M., Li X.
Open Physics
|
2014
|
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.
2
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Fractional diffusion equation in half-space with Robin boundary condition

100%
Duan J.-S., Wang Z., Fu S.-Z.
Open Physics
|
2013
|
vol. 11
|
issue 6
799-805
EN
The initial and boundary value problem for the fractional diffusion equation in half-space with the Robin boundary condition is considered. The solution is comprised of two parts: the contribution of the initial value and the contribution of the boundary value, for which the respective fundamental solutions are given. Finally, the solution formula of the considered problem is obtained.
3
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Application of Laplace Transform to the free vibration of continuous beams

81%
Wen H. B., Zeng T., Hu G. Z., Wen H. B., Zeng T., Hu G. Z.
Archives of Civil Engineering
|
2017
|
issue 1
4
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Single-server queueing system with external and internal customers

72%
Tikhonenko O., Ziółkowski M.
|
2018
|
issue 4
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