scholarly journals Dynamics of a Laser-Induced Bubble above the Flat Top of a Solid Cylinder—Mushroom-Shaped Bubbles and the Fast Jet

Fluids ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 2
Author(s):  
Max Koch ◽  
Juan Manuel Rosselló ◽  
Christiane Lechner ◽  
Werner Lauterborn ◽  
Robert Mettin
Keyword(s):  
Bubble Size ◽  
Liquid Jet ◽  
Solid Cylinder ◽  
Structured Surfaces ◽  
Numerical Examples ◽  
Maximum Radius ◽  
Long Stem ◽  
The One

The dynamics of a laser-induced bubble on top of a solid cylinder is studied both experimentally and numerically. When the bubble is generated close to the flat top along the axis of the cylinder and its maximum radius exceeds the one of the flat top surface, it collapses in the form of a mushroom with a footing on the cylinder, a long stem and a hat-like cap typical for a mushroom head. The head may collapse forming a thin, fast liquid jet into the stem, depending on bubble size and bubble distance to the top of the cylinder. Several experimental and numerical examples are given. The results represent a contribution to understand the behavior of bubbles collapsing close to structured surfaces and in particular, how thin, fast jets are generated.

scholarly journals Not p-Values, Said a Little Bit Differently

Econometrics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 11 ◽  
Author(s):  
Richard Startz
Keyword(s):  
P Value ◽  
P Values ◽  
Numerical Examples ◽  
Practical Matter ◽  
The One

As a contribution toward the ongoing discussion about the use and mis-use of p-values, numerical examples are presented demonstrating that a p-value can, as a practical matter, give you a really different answer than the one that you want.

scholarly journals Explicit Numerical Solution of High - Dimensional Advection - Diffusion

2013 ◽  
Vol 2 (3) ◽  
pp. 17-22
Author(s):  
Elham Bayatmanesh
Keyword(s):  
High Dimensional ◽  
Numerical Techniques ◽  
Science And Engineering ◽  
Numerical Examples ◽  
One Dimensional ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Constant Coefficients ◽  
The Subject ◽  
The One

The Several numerical techniques have been developed and compared for solving the one-dimensional and three-dimentional advection-diffusion equation with constant coefficients. the subject has played very important roles to fluid dynamics as well as many other field of science and engineering. In this article, we will be presenting the of n-dimentional and we neglect the numerical examples.

scholarly journals New Improvement of the Domain of Parameters for Newton’s Method

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 103 ◽  
Author(s):  
Cristina Amorós ◽  
Ioannis K. Argyros ◽  
Daniel González ◽  
Ángel Alberto Magreñán ◽  
Samundra Regmi ◽  
...  
Keyword(s):  
Newton’S Method ◽  
Newton's Method ◽  
Convergence Domain ◽  
Operator Equations ◽  
Numerical Examples ◽  
New Information ◽  
Analogous Manner ◽  
The One ◽  
Domain Of Parameters ◽  
Local Convergence Analysis

There is a need to extend the convergence domain of iterative methods for computing a locally unique solution of Banach space valued operator equations. This is because the domain is small in general, limiting the applicability of the methods. The new idea involves the construction of a tighter set than the ones used before also containing the iterates leading to at least as tight Lipschitz parameters and consequently a finer local as well as a semi-local convergence analysis. We used Newton’s method to demonstrate our technique. However, our technique can be used to extend the applicability of other methods too in an analogous manner. In particular, the new information related to the location of the solution improves the one in previous studies. This work also includes numerical examples that validate the proven results.

scholarly journals Competitive Analysis for Online Leasing Problem with Compound Interest Rate

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Xingyu Yang ◽  
Weiguo Zhang ◽  
Weijun Xu ◽  
Yong Zhang
Keyword(s):  
Interest Rate ◽  
Competitive Analysis ◽  
The Other ◽  
Continuous Version ◽  
Numerical Examples ◽  
The Interest Rate ◽  
The One ◽  
Compound Interest ◽  
Theoretical Results ◽  
Deterministic Strategy

We introduce the compound interest rate into the continuous version of the online leasing problem and discuss the generalized model by competitive analysis. On the one hand, the optimal deterministic strategy and its competitive ratio are obtained; on the other hand, a nearly optimal randomized strategy is constructed and a lower bound for the randomized competitive ratios is proved by Yao's principle. With the help of numerical examples, the theoretical results show that the interest rate puts off the purchase date and diminishes the uncertainty involved in the decision making.

On operation termination for degrading systems with two types of failures

2018 ◽  
Vol 233 (3) ◽  
pp. 419-426 ◽  
Author(s):  
Maxim Finkelstein ◽  
Gregory Levitin ◽  
Oleg A Stepanov
Keyword(s):  
Failure Rate ◽  
Cost Effective ◽  
System Failure ◽  
Minimal Repair ◽  
System Operation ◽  
Numerical Examples ◽  
Relevant Case ◽  
The One ◽  
Combined Strategy

When a failure occurring during a system operation can result in considerable penalties, it can be more cost-effective to terminate the operation at some time avoiding the risk of future failures. This strategy can be relevant for aging systems, for example, when the system failure rate is increasing. The paper analyzes three strategies of termination for systems with major and minor failures. A major failure automatically terminates the operation, whereas the minor failures are minimally repaired. We show that the age-based strategy outperforms the one with termination after the mth minimal repair. The combined strategy when the termination is performed at time t or upon the mth minimal repair, whichever comes first, is also considered. The emphasis for the latter setting is on the practically relevant case when the number of possible minimal repairs is limited. Numerical examples illustrating the findings are presented.

scholarly journals Transmission compensated primary reflection retrieval in the data domain and consequences for imaging

Geophysics ◽  
2019 ◽  
Vol 84 (4) ◽  
pp. Q27-Q36 ◽  
Author(s):  
Lele Zhang ◽  
Jan Thorbecke ◽  
Kees Wapenaar ◽  
Evert Slob
Keyword(s):  
Thin Layer ◽  
Time Domain ◽  
Velocity Model ◽  
Original Data ◽  
Transmission Losses ◽  
Multiple Reflections ◽  
Data Set ◽  
Numerical Examples ◽  
The One ◽  
The Time Domain

We have developed a scheme that retrieves primary reflections in the two-way traveltime domain by filtering the data. The data have their own filter that removes internal multiple reflections, whereas the amplitudes of the retrieved primary reflections are compensated for two-way transmission losses. Application of the filter does not require any model information. It consists of convolutions and correlations of the data with itself. A truncation in the time domain is applied after each convolution or correlation. The retrieved data set can be used as the input to construct a better velocity model than the one that would be obtained by working directly with the original data and to construct an enhanced subsurface image. Two 2D numerical examples indicate the effectiveness of the method. We have studied bandwidth limitations by analyzing the effects of a thin layer. The presence of refracted and scattered waves is a known limitation of the method, and we studied it as well. Our analysis indicates that a thin layer is treated as a more complicated reflector, and internal multiple reflections related to the thin layer are properly removed. We found that the presence of refracted and scattered waves generates artifacts in the retrieved data.

scholarly journals Effects of a water hammer and cavitation on jet formation in a test tube

2015 ◽  
Vol 787 ◽  
pp. 224-236 ◽  
Author(s):  
Akihito Kiyama ◽  
Yoshiyuki Tagawa ◽  
Keita Ando ◽  
Masaharu Kameda
Keyword(s):  
Pressure Wave ◽  
Flow Analysis ◽  
Water Hammer ◽  
Test Tube ◽  
Liquid Interface ◽  
Phase Changes ◽  
Liquid Jet ◽  
Jet Formation ◽  
Wave Interactions ◽  
The One

We investigate the motion of a gas–liquid interface in a test tube induced by a large acceleration via impulsive force. We conduct simple experiments in which the tube partially filled with a liquid falls under gravity and hits a rigid floor. A curved gas–liquid interface inside the tube reverses and eventually forms a so-called focused jet. In our experiments, there arises either vibration of the interface or an increment in the velocity of the liquid jet, accompanied by the onset of cavitation in the liquid column. These phenomena cannot be explained by a considering pressure impulse in a classical potential flow analysis, which does not account for finite speeds of sound or phase changes. Here we model such water-hammer events as a result of the one-dimensional propagation of a pressure wave and its interaction with boundaries through acoustic impedance mismatching. The method of characteristics is applied to describe pressure-wave interactions and the subsequent cavitation. The model proposed is found to be able to capture the time-dependent characteristics of the liquid jet.

Extending Service Area of IEEE 802.11 Ad Hoc Networks

Frequenz ◽  
2012 ◽  
Vol 66 (7-8) ◽  
Author(s):  
Woo-Yong Choi
Keyword(s):  
Ad Hoc Networks ◽  
Ieee 802.11 ◽  
Wireless Lan ◽  
Ad Hoc ◽  
Access Point ◽  
Service Area ◽  
Transmission Range ◽  
Numerical Examples ◽  
Hoc Networks ◽  
The One

AbstractAccording to the current IEEE 802.11 wireless LAN standards, IEEE 802.11 ad hoc networks have the limitation that all STAs (Stations) are in the one-hop transmission range of each other. In this paper, to alleviate the limitation of IEEE 802.11 ad hoc networks we propose the efficient method for selecting the most appropriate pseudo AP (Access Point) from among the set of ad hoc STAs and extending the service area of IEEE 802.11 ad hoc networks by the pseudo AP’s relaying the internal traffic of IEEE 802.11 ad hoc networks. Numerical examples show that the proposed method significantly extends the service area of IEEE 802.11 ad hoc networks.

TWO COMMODITY COORDINATED INVENTORY SYSTEM WITH MARKOVIAN DEMAND

2006 ◽  
Vol 23 (04) ◽  
pp. 497-508 ◽  
Author(s):  
V. S. S. YADAVALLI ◽  
G. ARIVARIGNAN ◽  
N. ANBAZHAGAN
Keyword(s):  
Probability Distribution ◽  
Inventory System ◽  
Poisson Processes ◽  
Expected Cost ◽  
Numerical Examples ◽  
Cost Rate ◽  
Continuous Review ◽  
Long Run ◽  
Operational Characteristics ◽  
The One

This paper considers a two commodity continuous review inventory system. The demand points for each commodity are assumed to form Poisson processes. It is further assumed that the demand for the first commodity require the one unit of second commodity in addition to the first commodity with probability p1. Similarly, the demand for the second commodity require the one unit of first commodity in addition to the second commodity with probability p2. This assumption model the situation in which a buyer who intends to buy one particular commodity may also go for another commodity. The limiting probability distribution for the joint inventory levels is computed. Various operational characteristics, expression for the long run total expected cost rate is derived. The results are illustrated with numerical examples.

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