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The Fickian diffusion with moving boundary model can be extended to evaluate different geometries for controlled release systems.
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According to the actual strength of pseudospecies boundaries the lumped model can be iteratively improved.
The boundary conditions for this model can be either periodic, i.e., (sigma_{x}^{n+1} equiv sigma_{x}^{1}), in which case the Hamiltonian will be denoted as (H_{1}^{mathrm{per}}); or open, i.e., (J_{n}=0), in which case the Hamiltonian will be denoted as (H_{1}^{mathrm{open}}).
Moreover, the natural frequencies of the TSDTB model are much less than of those of one-segment double Timoshenko beam (OSDTB) model with clamped supported boundary condition, whereas the TSDTB model can be equivalent to the simply supported OSDTB model under certain condition.
This model can be used to provide boundary conditions for numerical ring current models.
The model can be applied to all moving boundary problems whenever sensible heat can be ignored.
The logarithmic model can be interpreted as the propagation of boundary conditions along characteristic lines throughout the bed.
This model can be quantified.
The model can be changed.
Flows of the fluids due to oscillating boundary for different constitutive models can be found into [6 20].
In this paper we discuss parameter regions where different flow models including lumped-parameter-transport laminar boundary-layer and full twodimensional models can be used for obtaining design insights.
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