Pub Date : 2024-02-01DOI: 10.33889/ijmems.2024.9.1.001
Satyvir Singh, Bidesh Sengupta, M. Awasthi, Vinesh Kumar
This article investigates the effects of Atwood numbers on the flow physics of shock-driven elliptical gas inhomogeneity based on numerical simulations. We examine five different gases—He, Ne, Ar, Kr, and SF6—that are filled inside an elliptical bubble and surrounded by N2 in order to study flow physics. A high-order modal discontinuous Galerkin finite element approach is used to solve compressible Euler equations for all numerical simulations. In terms of validation studies, the numerical outcomes match the existing experimental data quite well. The findings show that the Atwood number has a significant impact on the characteristics of flow, including wave patterns, the development of vortices, the generation of vorticity, and bubble deformation. When the value of At is greater than zero i.e. At > 0, there is a notable divergence between the incident wave outside the bubble and the transmitted shock wave inside the bubble. Complex wave patterns, including reflected and newly transmitted shock, are seen during the encounter. Interestingly, the transmitted shock and incident shock waves move with the same rates at At ≈ 0. While, compared to the incident shock wave, the transmitted shock wave moves more quickly for At < 0. The influence of Atwood number is then investigated in depth by looking at the vorticity production at the elliptical interface. Furthermore, in the analysis of vorticity production processes, the important spatial integrated domains of average vorticity, dilatational and baroclinic vorticity production terms, and evolution of enstrophy are extended. Finally, a quantitative research based on the interface qualities delves deeply into the influence of the Atwood number on the flow mechanics.
本文基于数值模拟,研究了阿特伍德数对冲击驱动的椭圆气体不均匀性流动物理的影响。我们研究了五种不同的气体--He、Ne、Ar、Kr 和 SF6--它们被填充在一个椭圆形气泡内并被 N2 包围,以研究流动物理。所有数值模拟均采用高阶模态非连续 Galerkin 有限元方法求解可压缩欧拉方程。在验证研究方面,数值结果与现有实验数据相当吻合。研究结果表明,阿特伍德数对流动特性有显著影响,包括波型、涡的发展、涡度的产生和气泡变形。当 At 值大于零(即 At > 0)时,气泡外的入射波和气泡内的透射冲击波之间会出现明显的背离。在碰撞过程中会出现复杂的波形,包括反射冲击波和新传播的冲击波。有趣的是,当 At ≈ 0 时,传播冲击波和入射冲击波的移动速度相同;而与入射冲击波相比,当 At < 0 时,传播冲击波的移动速度更快。此外,在分析涡度产生过程时,还扩展了平均涡度、扩张涡度和巴氏涡度产生项的重要空间综合域,以及涡度的演化。最后,基于界面质量的定量研究深入探讨了阿特伍德数对流动力学的影响。
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Pub Date : 2024-02-01DOI: 10.33889/ijmems.2024.9.1.009
.. Nisha, Shweta Upadhyaya, Chandra Shekhar
The maximum entropy principle has grown progressively more pertinent to queueing systems. The principle of maximum entropy (PME) presents an impartial framework as a promising method to examine complex queuing processes. This principle can be employed to assess the most appropriate probability distributions for queueing scenarios in a variety of widespread industrial issues. The aspects of general service bulk arrival retrial G-queue including working vacation, state-dependent arrival, priority users, and working breakdown are all explored in this article. Real-world applications for this kind of waiting line include computer systems, industrial companies, packet-switching networks, and communication facilities, etc. The adverse users (or negative arrivals) can make an appearance when the server (operator) is preoccupied with a positive user. Consumer’s arrival patterns follow the Poisson distribution. Priority consumers and regular (ordinary) consumers are the two groups of consumers that are considered in this investigation. Priority consumers do not have to wait in line and are granted a special right of prevention that allows them to receive services before ordinary consumers. Initially, we have estimated performance metrics including orbit size and long-run probabilities in this research work. The maximum entropy approach is then used to give a comparative perusal between the system’s exact and estimated waiting times. Apart from that a bi-objective optimization model is developed to diminish both consumers waiting times and estimated costs simultaneously. It is manageable to establish an effective balance between the standard of service and operating expenses using the analytical strategy that has been provided.
最大熵原理与排队系统的关系日益密切。最大熵原理(PME)提供了一个公正的框架,是研究复杂排队过程的一种有前途的方法。这一原理可用于评估各种广泛的工业问题中排队场景的最合适概率分布。本文探讨了一般服务批量到达重审 G 型队列的各个方面,包括工作假期、状态相关到达、优先用户和工作故障。这种等待队列在现实世界中的应用包括计算机系统、工业企业、分组交换网络和通信设施等。当服务器(操作员)忙于处理积极用户时,不利用户(或消极到达者)就会出现。消费者的到达模式遵循泊松分布。优先消费者和普通消费者是本研究考虑的两类消费者。优先消费者无需排队等候,并享有特殊的预防权,可以比普通消费者更早获得服务。最初,我们在这项研究工作中估算了包括轨道大小和长期概率在内的性能指标。然后使用最大熵方法对系统的精确等待时间和估计等待时间进行比较分析。此外,还开发了一个双目标优化模型,以同时减少消费者的等待时间和估计成本。利用所提供的分析策略,可以在服务标准和运营费用之间建立有效的平衡。
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