Investigation of the Dynamics of a Microstructured Spark Channel in Air in the “Tip (Anode)–Plane” Geometry at the Stage of Radial Expansion

2021 ◽  
Vol 47 (1) ◽  
pp. 73-79
Author(s):  
K. I. Almazova ◽  
A. N. Belonogov ◽  
V. V. Borovkov ◽  
V. S. Kurbanismailov ◽  
P. Kh. Omarova ◽  
...  
Keyword(s):  
Plane Geometry ◽  
Radial Expansion ◽  
Spark Channel ◽  
Anode Plane

Die radiale und axiale Entwicklung des Leuchtens im Funkenkanal, untersucht mit einer Wischkamera

1967 ◽  
Vol 22 (7) ◽  
pp. 1089-1097 ◽  
Author(s):  
Jörn Koppitz
Keyword(s):  
Discharge Channel ◽  
Radial Expansion ◽  
Channel Radius ◽  
Hot Plasma ◽  
Spark Channel ◽  
Good Agreement ◽  
Axial Development

In this work the radial and axial development of the hot plasma spark channel is treated. The measured radial expansion is in good agreement with the theory of Braginskii, but not with that of Drabkina. A formula for the dependence of the channel radius on external parameters is derived. Axial inhomogeneities were found to be the consequence of an inhomogeneous development in the pre-discharge channel during the streamer stage.

Investigation of plasma properties in the phase of the radial expansion of spark channel in the pin-to-plate geometry

2020 ◽  
Author(s):  
Kseniya Igorevna Аlmazova ◽  
Artem Nikolaevich Belonogov ◽  
Valerii Viktorovich Borovkov ◽  
Zaira Rasulovna Khalikova ◽  
Gadjimirza Balaglanovich Ragimkhanov ◽  
...  
Keyword(s):  
Radial Expansion ◽  
Plasma Properties ◽  
Spark Channel ◽  
Plate Geometry

Nonlinear dynamics of a shell encapsulated microbubble near solid boundary in an ultrasonic field

2020 ◽  
Vol 14 (3) ◽  
pp. 7235-7243
Author(s):  
N.M. Ali ◽  
F. Dzaharudin ◽  
E.A. Alias
Keyword(s):  
Oscillation Amplitude ◽  
Ultrasonic Field ◽  
Dynamical Behaviour ◽  
Ultrasound Contrast Agents ◽  
Chaotic Behaviour ◽  
Solid Boundary ◽  
Driving Frequency ◽  
Pressure Amplitude ◽  
Radial Expansion ◽  
Therapeutic Delivery

Microbubbles have the potential to be used for diagnostic imaging and therapeutic delivery. However, the transition from microbubbles currently being used as ultrasound contrast agents to achieve its’ potentials in the biomedical field requires more in depth understanding. Of particular importance is the influence of microbubble encapsulation of a microbubble near a vessel wall on the dynamical behaviour as it stabilizes the bubble. However, many bubble studies do not consider shell encapsulation in their studies. In this work, the dynamics of an encapsulated microbubble near a boundary was studied by numerically solving the governing equations for microbubble oscillation. In order to elucidate the effects of a boundary to the non-linear microbubble oscillation the separation distances between microbubble will be varied along with the acoustic driving. The complex nonlinear vibration response was studied in terms of bifurcation diagrams and the maximum radial expansion. It was found that the increase in distance between the boundary and the encapsulated bubble will increase the oscillation amplitude. When the value of pressure amplitude increased the single bubble is more likely to exhibit the chaotic behaviour and maximum radius also increase as the inter wall-bubble distance is gradually increased. While, with higher driving frequency the maximum radial expansion decreases and suppress the chaotic behaviour.

Spacetime Geometry

2018 ◽  
Author(s):  
David M. Wittman
Keyword(s):  
Coordinate System ◽  
Special Relativity ◽  
Displacement Vector ◽  
Proper Time ◽  
Plane Geometry ◽  
Spatial Displacement ◽  
Spacetime Geometry ◽  
Space And Time ◽  
Displacement Vectors

This chapter shows that the counterintuitive aspects of special relativity are due to the geometry of spacetime. We begin by showing, in the familiar context of plane geometry, how a metric equation separates frame‐dependent quantities from invariant ones. The components of a displacement vector depend on the coordinate system you choose, but its magnitude (the distance between two points, which is more physically meaningful) is invariant. Similarly, space and time components of a spacetime displacement are frame‐dependent, but the magnitude (proper time) is invariant and more physically meaningful. In plane geometry displacements in both x and y contribute positively to the distance, but in spacetime geometry the spatial displacement contributes negatively to the proper time. This is the source of counterintuitive aspects of special relativity. We develop spacetime intuition by practicing with a graphic stretching‐triangle representation of spacetime displacement vectors.

Three-point perspective and plane geometry

2007 ◽  
Vol 1 (4) ◽  
pp. 213-223 ◽  
Author(s):  
Marc Frantz ◽  
Annalisa Crannell
Keyword(s):  
Plane Geometry

A study on the radial expansion reactivity of a metal-fueled sodium-cooled fast reactor via a physics experiment

2021 ◽  
Vol 153 ◽  
pp. 108072
Author(s):  
Sunghwan Yun ◽  
Gennadii Mikhailov ◽  
Sang Ji Kim ◽  
Jae-Yong Lim
Keyword(s):  
Fast Reactor ◽  
Radial Expansion ◽  
Physics Experiment

Static and dynamic response of sandwich beams with lattice and pantographic cores

2021 ◽  
pp. 109963622110338
Author(s):  
Yury Solyaev ◽  
Arseniy Babaytsev ◽  
Anastasia Ustenko ◽  
Andrey Ripetskiy ◽  
Alexander Volkov
Keyword(s):  
Mechanical Performance ◽  
Lattice Structure ◽  
Unit Length ◽  
Experimental Tests ◽  
Plane Geometry ◽  
Sandwich Beams ◽  
Static Tests ◽  
Three Point Bending ◽  
The Core ◽  
The Impact

Mechanical performance of 3d-printed polyamide sandwich beams with different type of the lattice cores is investigated. Four variants of the beams are considered, which differ in the type of connections between the elements in the lattice structure of the core. We consider the pantographic-type lattices formed by the two families of inclined beams placed with small offset and connected by stiff joints (variant 1), by hinges (variant 2) and made without joints (variant 3). The fourth type of the core has the standard plane geometry formed by the intersected beams lying in the same plane (variant 4). Experimental tests were performed for the localized indentation loading according to the three-point bending scheme with small span-to-thickness ratio. From the experiments we found that the plane geometry of variant 4 has the highest rigidity and the highest load bearing capacity in the static tests. However, other three variants of the pantographic-type cores (1–3) demonstrate the better performance under the impact loading. The impact strength of such structures are in 3.5–5 times higher than those one of variant 4 with almost the same mass per unit length. This result is validated by using numerical simulations and explained by the decrease of the stress concentration and the stress state triaxiality and also by the delocalization effects that arise in the pantographic-type cores.

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