stokes' law

简明释义

斯托克斯定律

英英释义

例句

1.The sedimentation rate of particles in a fluid can be predicted using Stokes' law (斯托克斯定律).

可以使用斯托克斯定律（斯托克斯定律）预测粒子在流体中的沉降速率。

2.Researchers often refer to Stokes' law (斯托克斯定律) when studying the behavior of aerosols in the atmosphere.

研究人员在研究气溶胶在大气中的行为时，经常提到斯托克斯定律（斯托克斯定律）。

3.To calculate the drag force on a small sphere moving through a viscous medium, we apply Stokes' law (斯托克斯定律).

为了计算小球在粘性介质中移动时的阻力，我们应用斯托克斯定律（斯托克斯定律）。

4.In engineering, Stokes' law (斯托克斯定律) helps in designing pipelines for transporting slurries.

在工程中，斯托克斯定律（斯托克斯定律）有助于设计运输浆料的管道。

5.The application of Stokes' law (斯托克斯定律) is crucial in predicting how quickly a particle will settle in a liquid.

应用斯托克斯定律（斯托克斯定律）对预测粒子在液体中沉降的速度至关重要。

作文

In the realm of physics, particularly in fluid mechanics, one fundamental principle that plays a crucial role is Stokes' Law. This law describes the behavior of small particles moving through a viscous fluid. Understanding Stokes' Law is essential for various applications, including engineering, environmental science, and even medicine. Stokes' Law states that the force acting on a small spherical particle moving through a viscous medium is proportional to the velocity of the particle and the viscosity of the fluid. Mathematically, it can be expressed as F = 6πηrv, where F is the drag force, η is the dynamic viscosity of the fluid, r is the radius of the particle, and v is the velocity of the particle.To grasp the significance of Stokes' Law, consider its implications in real-world scenarios. For instance, in the field of engineering, this law helps in designing systems that involve the flow of fluids, such as pipelines or chemical reactors. Engineers must account for the drag forces that particles experience as they move through these systems to ensure efficiency and safety. Without a proper understanding of Stokes' Law, designs could fail, leading to catastrophic consequences.Moreover, Stokes' Law has important applications in environmental science. When studying sedimentation in bodies of water, scientists use this law to predict how long it will take for particles to settle at the bottom. This knowledge is vital for understanding sediment transport and the health of aquatic ecosystems. For example, if pollutants are introduced into a lake, knowing how quickly they settle can help in assessing their impact on the environment and devising mitigation strategies.In medicine, Stokes' Law is relevant in understanding how blood cells move through the circulatory system. The viscosity of blood can affect the flow rate of red blood cells, which is critical for diagnosing and treating various medical conditions. By applying Stokes' Law, medical professionals can gain insights into blood flow dynamics, leading to better patient care.Despite its straightforward formulation, Stokes' Law has limitations. It applies primarily to small particles moving at low Reynolds numbers, where inertial forces are negligible compared to viscous forces. In cases where particles are larger or when the flow is turbulent, other models must be employed. Thus, while Stokes' Law provides a foundational understanding, it is essential to recognize its boundaries and the need for more complex theories in certain situations.In conclusion, Stokes' Law is a pivotal concept in fluid mechanics with far-reaching implications across various fields. Its ability to describe the motion of particles in viscous fluids makes it invaluable for engineers, environmental scientists, and medical professionals alike. By embracing the principles of Stokes' Law, we can enhance our understanding of fluid behavior and apply this knowledge to solve real-world problems effectively. As we continue to explore the intricacies of fluid dynamics, Stokes' Law will undoubtedly remain a cornerstone of our scientific endeavors.

在物理学的领域，尤其是在流体力学中，有一个基本原理起着至关重要的作用，那就是斯托克斯定律。这个定律描述了小颗粒在粘性流体中运动的行为。理解斯托克斯定律对工程、环境科学甚至医学等各种应用至关重要。斯托克斯定律指出，运动中的小球形颗粒受到的力与颗粒的速度和流体的粘度成正比。从数学上讲，它可以表示为F = 6πηrv，其中F是阻力，η是流体的动态粘度，r是颗粒的半径，v是颗粒的速度。为了理解斯托克斯定律的重要性，可以考虑它在现实场景中的影响。例如，在工程领域，这条定律有助于设计涉及流体流动的系统，如管道或化学反应器。工程师必须考虑颗粒在这些系统中移动时所经历的阻力，以确保效率和安全。如果没有对斯托克斯定律的正确理解，设计可能会失败，导致灾难性的后果。此外，斯托克斯定律在环境科学中也有重要应用。当研究水体中的沉淀时，科学家使用这一定律来预测颗粒沉降到底部所需的时间。这一知识对于理解沉积物运输和水生生态系统的健康至关重要。例如，如果污染物进入湖泊，了解它们沉降的速度可以帮助评估其对环境的影响并制定减缓策略。在医学中，斯托克斯定律与理解血细胞在循环系统中如何运动相关。血液的粘度会影响红细胞的流动速率，这对诊断和治疗各种医学状况至关重要。通过应用斯托克斯定律，医疗专业人员可以深入了解血流动态，从而改善患者护理。尽管斯托克斯定律的公式简单，但它也有局限性。它主要适用于在低雷诺数下运动的小颗粒，在这种情况下，惯性力相对于粘性力是微不足道的。在颗粒较大或流动湍流的情况下，必须采用其他模型。因此，虽然斯托克斯定律提供了基础的理解，但认识到其边界以及在某些情况下需要更复杂理论是至关重要的。总之，斯托克斯定律是流体力学中的一个关键概念，对各个领域都有深远的影响。它能够描述粘性流体中颗粒的运动，使其对工程师、环境科学家和医疗专业人员都具有不可或缺的价值。通过接受斯托克斯定律的原则，我们可以增强对流体行为的理解，并有效地将这一知识应用于解决现实问题。在我们继续探索流体动力学的复杂性时，斯托克斯定律无疑将继续成为我们科学努力的基石。