dimensionless number

简明释义

无因次数

英英释义

例句

1.In chemical engineering, the Damköhler number is a dimensionless number that relates the timescales of reaction and transport processes.

在化学工程中，达姆考勒数是一个无量纲数，它将反应和传输过程的时间尺度联系起来。

2.The Froude number is a dimensionless number that compares inertial and gravitational forces in fluid flow.

弗劳德数是一个无量纲数，它比较流体流动中的惯性和重力作用。

3.In heat transfer, the Nusselt number is a dimensionless number that represents the ratio of convective to conductive heat transfer.

在热传递中，努塞尔数是一个无量纲数，表示对流与导热之间的比率。

4.The Strouhal number is a dimensionless number used to describe oscillating flow mechanisms.

斯特劳哈尔数是一个用于描述振荡流动机制的无量纲数。

5.The Reynolds number is a crucial dimensionless number in fluid mechanics that helps predict flow patterns in different fluid flow situations.

雷诺数是流体力学中一个重要的无量纲数，它有助于预测不同流动情况下的流动模式。

作文

In the field of science and engineering, understanding the concept of a dimensionless number is crucial for analyzing various physical phenomena. A dimensionless number is a numerical value that has no units associated with it, allowing for comparisons between different systems or conditions without the influence of measurement units. This characteristic makes dimensionless numbers particularly useful in fluid dynamics, thermodynamics, and other branches of physics and engineering. One of the most well-known examples of a dimensionless number is the Reynolds number, which is used to predict flow patterns in different fluid flow situations. The Reynolds number is calculated by taking the ratio of inertial forces to viscous forces within a fluid. By using this dimensionless number, engineers can determine whether a flow will be laminar or turbulent, which is essential for designing efficient systems such as pipelines, aircraft, and even weather models. Another important dimensionless number is the Mach number, which represents the ratio of the speed of an object to the speed of sound in the surrounding medium. This dimensionless number is vital in aerospace engineering, as it helps engineers understand how an aircraft will behave at various speeds, especially when approaching or exceeding the speed of sound. The significance of dimensionless numbers extends beyond just fluid mechanics. In heat transfer, the Nusselt number, another type of dimensionless number, indicates the ratio of convective to conductive heat transfer across a boundary. This allows engineers to evaluate thermal performance in systems like heat exchangers, ensuring they operate efficiently. Moreover, dimensionless numbers facilitate the process of scaling up laboratory experiments to real-world applications. When researchers conduct experiments, they often work with small-scale models. By using dimensionless numbers, they can ensure that the results from these models can be accurately applied to larger systems. For instance, the similarity principle states that if two systems have the same dimensionless numbers, they will exhibit similar behavior, regardless of their size. Understanding dimensionless numbers also plays a significant role in the development of theories and models in various scientific disciplines. They help simplify complex equations by reducing the number of variables involved, making it easier to analyze and predict outcomes. For example, in chemical engineering, the use of dimensionless numbers can help in the design of reactors and separation processes, leading to more efficient chemical production. In conclusion, the concept of a dimensionless number is fundamental to the fields of science and engineering. These numbers enable comparisons, facilitate scaling, and simplify complex analyses across various disciplines. As technology continues to advance, the importance of dimensionless numbers will only grow, as they provide critical insights into the behavior of systems in a wide range of applications. Understanding and utilizing dimensionless numbers will remain an essential skill for future scientists and engineers, allowing them to innovate and improve our world through informed decision-making and effective design strategies.

在科学和工程领域，理解无量纲数的概念对于分析各种物理现象至关重要。无量纲数是一个没有单位关联的数值，使得在不同系统或条件之间进行比较成为可能，而不受测量单位的影响。这一特性使得无量纲数在流体动力学、热力学以及其他物理和工程分支中尤为有用。最著名的无量纲数之一是雷诺数，它用于预测不同流体流动情况下的流动模式。雷诺数通过将惯性力与流体中的粘性力的比率计算得出。通过使用这个无量纲数，工程师可以判断流动是层流还是湍流，这对于设计高效的系统（如管道、飞机甚至天气模型）至关重要。另一个重要的无量纲数是马赫数，它表示物体速度与周围介质中声速的比率。这个无量纲数在航空航天工程中至关重要，因为它帮助工程师了解飞机在不同速度下的行为，特别是在接近或超过音速时。无量纲数的重要性不仅限于流体力学。在热传递中，努塞尔数（Nusselt number）是另一种无量纲数，它表示对流与导热在边界上的比率。这使得工程师能够评估诸如热交换器等系统的热性能，确保其高效运行。此外，无量纲数还促进了实验室实验向实际应用的放大过程。当研究人员进行实验时，他们通常使用小规模模型。通过使用无量纲数，他们可以确保这些模型的结果可以准确应用于更大的系统。例如，相似原理表明，如果两个系统具有相同的无量纲数，那么它们将表现出类似的行为，无论其大小如何。理解无量纲数在各个科学学科的理论和模型发展中也起着重要作用。它们通过减少涉及的变量数量来简化复杂方程，使得分析和预测结果变得更加容易。例如，在化学工程中，使用无量纲数可以帮助设计反应器和分离过程，从而提高化学生产的效率。总之，无量纲数的概念在科学和工程领域是基础性的。这些数字使得比较、促进缩放和简化复杂分析在各个学科中成为可能。随着技术的不断进步，无量纲数的重要性只会增加，因为它们在广泛应用中提供了系统行为的关键见解。理解和利用无量纲数将继续成为未来科学家和工程师的一项基本技能，使他们能够通过明智的决策和有效的设计策略创新和改善我们的世界。