vortex filament

简明释义

涡流线

英英释义

例句

1.During the tornado, the vortex filament formed at the base, contributing to its destructive power.

在龙卷风期间，基部形成的涡旋细丝增强了其破坏力。

2.The simulation showed how a vortex filament interacts with surrounding fluid, creating complex turbulence.

模拟显示了一个涡旋细丝如何与周围流体相互作用，产生复杂的湍流。

3.In astrophysics, a vortex filament can describe the structure of cosmic jets emitted from black holes.

在天体物理学中，涡旋细丝可以描述从黑洞发出的宇宙喷射的结构。

4.The researchers observed a vortex filament in the fluid dynamics experiment, which helped them understand the flow patterns.

研究人员在流体动力学实验中观察到了一个涡旋细丝，这帮助他们理解了流动模式。

5.The concept of a vortex filament is crucial in understanding vortex dynamics in engineering applications.

理解工程应用中的涡旋动力学时，涡旋细丝的概念至关重要。

作文

In the study of fluid dynamics, the concept of vortex filament (涡旋细丝) plays a crucial role in understanding the behavior of vortices. A vortex filament is essentially an idealized line that represents the core of a vortex, where the circulation of fluid is concentrated. This concept helps scientists and engineers to visualize and analyze complex fluid flows, particularly in cases involving turbulence and rotational motion.The significance of vortex filament can be observed in various applications, from aerodynamics to meteorology. For instance, in aerodynamics, the lift generated by an aircraft wing can be explained using the principles of vortex filaments. As air flows over the wing, it creates a vortex behind it, which can be modeled as a series of vortex filaments. These filaments help in calculating the pressure differences above and below the wing, ultimately determining the lift force that allows the aircraft to fly.Moreover, in meteorology, vortex filaments are essential for understanding phenomena such as tornadoes and hurricanes. These natural disasters are characterized by intense rotational winds, which can be represented by vortex filaments. By studying the behavior of these filaments, meteorologists can predict the path and intensity of storms, thereby improving safety measures and response strategies.The mathematical representation of a vortex filament typically involves the use of vector fields and differential equations. The circulation around the filament is defined, allowing researchers to derive important properties of the flow, such as velocity and pressure. This mathematical framework is crucial for simulations and modeling in computational fluid dynamics (CFD), where accurate predictions of fluid behavior are necessary for engineering designs and environmental studies.In addition to its theoretical importance, the practical implications of vortex filament theory are vast. Engineers utilize this concept when designing various systems, such as turbines, pumps, and even sports equipment like golf balls. The dimples on a golf ball create a series of small vortex filaments that reduce drag and enhance lift, allowing for longer and more controlled shots.Furthermore, the study of vortex filaments extends into the realm of quantum mechanics, where similar concepts apply to the behavior of superfluid helium. In this context, vortex filaments represent quantized vortices that occur in superfluid states, showcasing the universality of the concept across different scientific disciplines.In conclusion, the notion of vortex filament (涡旋细丝) is fundamental in the field of fluid dynamics, providing insights into the nature of vortices and their effects on fluid flow. Its applications span various fields, from aviation to weather forecasting, demonstrating its versatility and importance. As research continues to advance, the understanding of vortex filaments will undoubtedly lead to further innovations and improvements in technology and science, underscoring the interconnectedness of fluid dynamics with other areas of study.

在流体动力学的研究中，vortex filament（涡旋细丝）的概念在理解涡旋行为方面发挥着至关重要的作用。vortex filament本质上是一个理想化的线，代表了涡旋的核心，在这里，流体的环流被集中。这个概念帮助科学家和工程师可视化和分析复杂的流体流动，特别是在涉及湍流和旋转运动的情况下。vortex filament的重要性可以在各种应用中观察到，从空气动力学到气象学。例如，在空气动力学中，飞机机翼产生的升力可以通过涡旋细丝的原理进行解释。当空气流过机翼时，它在机翼后面产生一个涡旋，这可以建模为一系列vortex filaments。这些细丝有助于计算机翼上下方的压力差，从而最终确定使飞机飞行的升力。此外，在气象学中，vortex filaments对于理解如龙卷风和飓风等现象至关重要。这些自然灾害的特征是强烈的旋转风，这可以用vortex filaments来表示。通过研究这些细丝的行为，气象学家可以预测风暴的路径和强度，从而改善安全措施和应对策略。vortex filament的数学表示通常涉及向量场和微分方程的使用。围绕细丝的环流被定义，使研究人员能够推导出流动的重要属性，如速度和压力。这种数学框架对于计算流体动力学（CFD）中的模拟和建模至关重要，因为准确预测流体行为对于工程设计和环境研究是必要的。除了其理论重要性之外，vortex filament理论的实际影响也很广泛。工程师在设计各种系统时利用这一概念，例如涡轮、泵，甚至运动设备如高尔夫球。高尔夫球上的凹坑产生一系列小vortex filaments，减少阻力并增强升力，从而实现更长和更可控的击球。此外，vortex filaments的研究扩展到量子力学的领域，在那里类似的概念适用于超流氦的行为。在这种情况下，vortex filaments代表发生在超流态中的量子涡旋，展示了该概念在不同科学学科中的普遍性。总之，vortex filament（涡旋细丝）的概念在流体动力学领域是基础性的，为我们提供了对涡旋及其对流体流动影响的深入见解。它的应用跨越多个领域，从航空到天气预报，展示了其多样性和重要性。随着研究的不断推进，对vortex filaments的理解无疑将导致技术和科学的进一步创新和改进，突显了流体动力学与其他研究领域的相互联系。