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Staggered grid formulation

Staggered grid formulation

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A numerical method to simulate plasma induced electro-hydro-dynamic (EHD) flow is proposed in this study. The numerical model consists of three components, a potential module to simulate temporal potential and electric field generated in the ionized fluid. Secondly, a plasma module to simulate plasma development and charge particle densities. Final...

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Context 1
... all the simulations, the dielectric material was Kapton with a thickness of 2mm, as used in the experiments. Second order accurate spatial discretization was implemented based on the non-uniform structured staggered grid was considered in the present model, presented in figure 1. In this section, the physical and computational domain considered for numerical simulations along with the description of each of the three components of the plasma-fluid model are presented, along with a flow chart in figure 4. Algorithm and the numerical method implemented in each module are explained and their respective validations, by comparing with previous experimental and numerical studies, are presented. ...
Context 2
... boundary condition for potential at the interface of fluid and dielectric material was considered according to, In the staggered grid arrangement used in the present model, figure 1, the potential was calculated at center of each cell of the grid. Second order accurate spatial discretization was used for all the terms in potential Poisson equation (1) and (3). ...
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... AC power source of voltage 10kV pp and frequency 24kHz applied to the anode was simulated. The results are compared with experimental flow development visualizations, figure 16, to validate the plasma-fluid model and the coupling of individual potential, plasma and fluid components. The validation was carried out by analyzing and comparing experimental and numerical results of the wake development in the quiescent flow generated by the DBD. ...
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... streamline were then compared with the experimental streamline generated around the DBD actuator. Figure 10(a) presents streamline around the edge of the exposed electrode, where the cathode starts, like the experimental and numerical streamline plots presented in [4]. It can be observed from the streamline presented in figure 10(a) that the fluid is pulled towards the dielectric surface, accelerated in the direction of the cathode and further pushed downstream due to the body forces acting on the induced charge, in the ionized air around the electrodes. ...
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... 10(a) presents streamline around the edge of the exposed electrode, where the cathode starts, like the experimental and numerical streamline plots presented in [4]. It can be observed from the streamline presented in figure 10(a) that the fluid is pulled towards the dielectric surface, accelerated in the direction of the cathode and further pushed downstream due to the body forces acting on the induced charge, in the ionized air around the electrodes. Structures like K-H instabilities [46], were resolved by the present model and can also be observed from streamline which are formed due to shear stresses induced by the velocity gradient in the fluid being pulled toward the dielectric surface. ...
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... induced body forces generated by the DBD actuator due to the charge formed in the ionized fluid, leads to generation of vortices in the wake. The vortices gradually develop with time and are eventually dissipated in the wake leading to a free stream fluid flow as seen in figure 10 (b), 11 (f) and 12 (f). The quiescent flow generated by the DBD actuator develops as a vortex, that is formed at the end of anode and grows with time due to the force exerted by the charged species oscillations. ...
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... similar behavior for the quiescent flow development was observed form the visualizations, figure 14. Some previous experimental studies [31], used smoke to visualize the flow downstream of the DBD actuator at smaller frequency of 100Hz to observe the vortex formation, development and eventual dissipation creating a fluid stream. ...
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... the present work several image visualization experiments were performed to analyze the physics of induced flow in a plasma actuator, figure 15. The tested plasma actuators were constructed by two electrodes made of copper tape and a dielectric layer made of Kapton and were mounted in a flat plate. ...
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... dielectric layer presented 100 mm length and 50 mm thickness and the experiments were carried out for a dielectric thicknesses 2 mm. The experiments were conducted in a closed acrylic box, see figure 14(b), to avoid external perturbations. ...
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... that, using an image processor software, we measured the desired distances in pixels and converted them to metric units. The measurements of the wake length and height thus obtained, presented in figure 16, are then compared with numerical results obtained from the plasma-fluid model proposed in this study for validation and analysis if the quiescent flow development in a DBD actuator. ...
Context 11
... all the simulations, the dielectric material was Kapton with a thickness of 2mm, as used in the experiments. Second order accurate spatial discretization was implemented based on the non-uniform structured staggered grid was considered in the present model, presented in figure 1. In this section, the physical and computational domain considered for numerical simulations along with the description of each of the three components of the plasma-fluid model are presented, along with a flow chart in figure 4. Algorithm and the numerical method implemented in each module are explained and their respective validations, by comparing with previous experimental and numerical studies, are presented. ...
Context 12
... boundary condition for potential at the interface of fluid and dielectric material was considered according to, In the staggered grid arrangement used in the present model, figure 1, the potential was calculated at center of each cell of the grid. Second order accurate spatial discretization was used for all the terms in potential Poisson equation (1) and (3). ...
Context 13
... AC power source of voltage 10kV pp and frequency 24kHz applied to the anode was simulated. The results are compared with experimental flow development visualizations, figure 16, to validate the plasma-fluid model and the coupling of individual potential, plasma and fluid components. The validation was carried out by analyzing and comparing experimental and numerical results of the wake development in the quiescent flow generated by the DBD. ...
Context 14
... streamline were then compared with the experimental streamline generated around the DBD actuator. Figure 10(a) presents streamline around the edge of the exposed electrode, where the cathode starts, like the experimental and numerical streamline plots presented in [4]. It can be observed from the streamline presented in figure 10(a) that the fluid is pulled towards the dielectric surface, accelerated in the direction of the cathode and further pushed downstream due to the body forces acting on the induced charge, in the ionized air around the electrodes. ...
Context 15
... 10(a) presents streamline around the edge of the exposed electrode, where the cathode starts, like the experimental and numerical streamline plots presented in [4]. It can be observed from the streamline presented in figure 10(a) that the fluid is pulled towards the dielectric surface, accelerated in the direction of the cathode and further pushed downstream due to the body forces acting on the induced charge, in the ionized air around the electrodes. Structures like K-H instabilities [46], were resolved by the present model and can also be observed from streamline which are formed due to shear stresses induced by the velocity gradient in the fluid being pulled toward the dielectric surface. ...
Context 16
... induced body forces generated by the DBD actuator due to the charge formed in the ionized fluid, leads to generation of vortices in the wake. The vortices gradually develop with time and are eventually dissipated in the wake leading to a free stream fluid flow as seen in figure 10 (b), 11 (f) and 12 (f). The quiescent flow generated by the DBD actuator develops as a vortex, that is formed at the end of anode and grows with time due to the force exerted by the charged species oscillations. ...
Context 17
... similar behavior for the quiescent flow development was observed form the visualizations, figure 14. Some previous experimental studies [31], used smoke to visualize the flow downstream of the DBD actuator at smaller frequency of 100Hz to observe the vortex formation, development and eventual dissipation creating a fluid stream. ...
Context 18
... the present work several image visualization experiments were performed to analyze the physics of induced flow in a plasma actuator, figure 15. The tested plasma actuators were constructed by two electrodes made of copper tape and a dielectric layer made of Kapton and were mounted in a flat plate. ...
Context 19
... dielectric layer presented 100 mm length and 50 mm thickness and the experiments were carried out for a dielectric thicknesses 2 mm. The experiments were conducted in a closed acrylic box, see figure 14(b), to avoid external perturbations. ...
Context 20
... that, using an image processor software, we measured the desired distances in pixels and converted them to metric units. The measurements of the wake length and height thus obtained, presented in figure 16, are then compared with numerical results obtained from the plasma-fluid model proposed in this study for validation and analysis if the quiescent flow development in a DBD actuator. ...

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