Method of Approximate Particular Solutions of Electro-Kinetic Fluids in Micro and Nano channels

Catro, D.A; Florez, WF; Caruso, N.

doi:10.18180/tecciencia.2019.27.9

Cited by 2 publications

(2 citation statements)

References 33 publications

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“…As a future work, it would be interesting to model the inner fluid flow of the wind tunnel by using numeric-analytic techniques such as collocation methods [64] used for micro channels or mesh-less methods as the one described in [65].…”

Section: Discussionmentioning

confidence: 99%

Characterization, Design Testing and Numerical Modeling of a Subsonic-Low Speed Wind Tunnel

Lara

Salazar

2022

Ing.

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Context: Wind tunnels are essential devices in the study of flow properties through objects and scaled prototypes. This work presents a numerical study to characterize an existing wind tunnel, proposing modifications with the aim to improve the quality of the flow in the test chamber. Method: Experimental measurements of the inlet velocity and pressure distribution of a wind tunnel are nperformed. These empirical values are used as parameters to define boundary conditions in simulations. The Finite Element Method (FEM) at low speeds is implemented to determine the stream function by using a standard Galerkin method. Polynomial interpolations are employed to modify the contraction section design, and numerical simulations are performed in order to compare the numerical results of the flow for the existing and the modified wind tunnels. Results: Experimental measurements of the flow at the wind tunnel entrance are presented. The velocity field and distribution of thermodynamic variables inside the tunnel are numerically determined. This computations are useful since it is experimentally difficult to make measurements inside the channel. Additionally, numerical calculations of these variables are presented under modifications in the tunnel geometry. Conclusions: A comparison between these simulations show that laminar flow at low velocities can be modeled as incompressible and irrotational fluid under a bidimensional approximation along its longitudinal section. It is observed that modifications in the geometry of the tunnel can improve the flow in the test section of the wind tunnel in the laminar regime.

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Section: Discussionmentioning

confidence: 99%

Characterization, Design Testing and Numerical Modeling of a Subsonic-Low Speed Wind Tunnel

Lara

Salazar

2022

Ing.

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“…The problem variable is approximated with a linear combination of particular solutions of the auxiliary PDE, obtained analytically. Although the vast majority of the global formulation of the MAPS has been implemented in the solution of scalar and linear problems [8,9,10,11], it has recently been used to solve vector and nonlinear two-dimensional problems related to electrokinetic flows [12], Stokes flow [13], incompressible flow to high Reynolds numbers [14], electrically conductive flux in the presence of magnetic fields [14], among others, showing great potential for this meshless method. In all cases, a system of Stokes equations is taken as an auxiliary system and an MQ RBF is taken as the source term.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Localization Strategies with Method of Approximate Particular Solutions Without Mesh

Chaverra¹,

Martínez²,

Ríos³

et al. 2020

TECCIENCIA

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In the present work, several localization schemes developed by the Method of Approximated Particular Solutions are evaluated. This meshless method uses solutions of a non-homogeneous Poisson auxiliary equation to approximate the dependent variable. Diffusion problems with Dirichlet and Neumann boundary conditions are selected to evaluate the performance of the localization strategy by using cross-shaped, cross-elongated shaped and circular neighborhoods. The results obtained with the cross-shaped neighborhoods show greater stability with respect to the shape parameter. Local formulations perform better on problems with Dirichlet boundary conditions while the global formulation obtains better results on diffusion problems with Neumann boundary conditions.

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Method of Approximate Particular Solutions of Electro-Kinetic Fluids in Micro and Nano channels

Cited by 2 publications

References 33 publications

Characterization, Design Testing and Numerical Modeling of a Subsonic-Low Speed Wind Tunnel

Characterization, Design Testing and Numerical Modeling of a Subsonic-Low Speed Wind Tunnel

Evaluation of Localization Strategies with Method of Approximate Particular Solutions Without Mesh

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