dimensionless coefficient

简明释义

无因次系数

英英释义

A dimensionless coefficient is a numerical value that has no units and is used to characterize the relationship between different physical quantities in a mathematical or empirical model.

无量纲系数是一个没有单位的数值,用于描述在数学或经验模型中不同物理量之间的关系。

例句

1.The Strouhal number is a dimensionless coefficient 无量纲系数 that helps in understanding oscillating flow phenomena.

斯特劳哈尔数是一个无量纲系数 dimensionless coefficient,有助于理解振荡流动现象。

2.The Reynolds number is a common dimensionless coefficient 无量纲系数 used to predict flow patterns in different fluid flow situations.

雷诺数是一个常见的无量纲系数 dimensionless coefficient,用于预测不同流体流动情况下的流动模式。

3.In heat transfer analysis, the Nusselt number serves as a dimensionless coefficient 无量纲系数 that relates convective to conductive heat transfer.

在热传递分析中,努塞尔数作为一个无量纲系数 dimensionless coefficient,将对流与导热传递联系起来。

4.When analyzing the performance of a vehicle, engineers often use the lift-to-drag ratio, another important dimensionless coefficient 无量纲系数.

在分析车辆性能时,工程师们经常使用升阻比,这是另一个重要的无量纲系数 dimensionless coefficient

5.The drag coefficient is a dimensionless coefficient 无量纲系数 that quantifies the drag or resistance of an object in a fluid environment.

阻力系数是一个无量纲系数 dimensionless coefficient,用于量化物体在流体环境中的阻力或抗力。

作文

In the realm of science and engineering, understanding various concepts is crucial for effective analysis and problem-solving. One such concept is the dimensionless coefficient, which plays a significant role in various fields, including fluid dynamics, heat transfer, and structural analysis. A dimensionless coefficient is a numerical value that does not have any units associated with it, allowing for the comparison of different systems or phenomena without the complications introduced by varying units of measurement.The significance of dimensionless coefficients lies in their ability to simplify complex equations and facilitate comparisons across different scenarios. For instance, in fluid mechanics, the Reynolds number is a well-known dimensionless coefficient that characterizes the flow of fluid. It is defined as the ratio of inertial forces to viscous forces and helps predict flow patterns in different fluid regimes. By using this dimensionless coefficient, engineers can determine whether a flow is laminar or turbulent, which is essential for designing efficient systems such as pipelines and aircraft.Another example is the Nusselt number, which is a dimensionless coefficient used in heat transfer calculations. It represents the ratio of convective to conductive heat transfer across a boundary. Understanding the Nusselt number allows engineers to optimize thermal systems, ensuring that they operate efficiently under various conditions. This is particularly important in industries such as power generation and HVAC (heating, ventilation, and air conditioning), where thermal efficiency can significantly impact overall performance and cost.Moreover, dimensionless coefficients are not limited to fluid dynamics or heat transfer; they also find applications in structural engineering. The slenderness ratio, which is a dimensionless coefficient that compares the length of a structural member to its radius of gyration, is crucial for assessing buckling behavior in columns. By analyzing this dimensionless coefficient, engineers can ensure that structures are designed to withstand potential failure under load, thereby enhancing safety and reliability.The beauty of dimensionless coefficients lies in their universality. Because they are independent of the specific units used, they allow scientists and engineers from different disciplines and regions to communicate effectively. For example, a dimensionless coefficient calculated in one country can be compared directly to a similar coefficient calculated in another country, regardless of the measurement systems employed. This facilitates collaboration and knowledge sharing on a global scale, driving innovation and progress in various fields.In conclusion, the concept of the dimensionless coefficient is fundamental in science and engineering. Its ability to provide meaningful comparisons and simplify complex equations makes it an invaluable tool for researchers and practitioners alike. Whether in fluid dynamics, heat transfer, or structural analysis, dimensionless coefficients enable professionals to make informed decisions, optimize designs, and enhance the performance of systems. As technology continues to advance and new challenges arise, the importance of understanding and applying dimensionless coefficients will only grow, underscoring their relevance in our increasingly complex world.

在科学和工程领域,理解各种概念对于有效分析和解决问题至关重要。其中一个概念是无量纲系数,它在流体动力学、热传递和结构分析等多个领域中发挥着重要作用。无量纲系数是一个没有任何单位的数值,使得在比较不同系统或现象时,不会受到测量单位变化带来的复杂性影响。无量纲系数的重要性在于它们能够简化复杂方程并促进不同场景之间的比较。例如,在流体力学中,雷诺数是一个众所周知的无量纲系数,它表征了流体的流动。它被定义为惯性力与粘性力的比率,有助于预测不同流体状态下的流动模式。通过使用这个无量纲系数,工程师可以确定流动是层流还是湍流,这对设计高效的系统(如管道和飞机)至关重要。另一个例子是努塞尔数,它是一个用于热传递计算的无量纲系数。它表示对流与导热之间的比率。理解努塞尔数使工程师能够优化热系统,确保它们在各种条件下高效运行。这在电力生成和暖通空调(HVAC)等行业尤为重要,因为热效率会显著影响整体性能和成本。此外,无量纲系数不仅限于流体动力学或热传递,它们在结构工程中也有应用。细长比是一个无量纲系数,它将结构构件的长度与其回转半径进行比较,对于评估柱子在荷载下的屈曲行为至关重要。通过分析这个无量纲系数,工程师可以确保结构设计能够承受潜在的失效,从而提高安全性和可靠性。无量纲系数的美妙之处在于它们的普遍性。由于它们独立于所使用的特定单位,因此允许来自不同学科和地区的科学家和工程师进行有效沟通。例如,在一个国家计算出的无量纲系数可以直接与另一个国家计算的类似系数进行比较,而不管采用了什么测量系统。这促进了全球范围内的合作和知识共享,推动了各个领域的创新和进步。总之,无量纲系数的概念在科学和工程中是基础性的。它提供有意义的比较并简化复杂方程的能力,使其成为研究人员和从业者不可或缺的工具。无论是在流体动力学、热传递还是结构分析中,无量纲系数使专业人员能够做出明智的决策,优化设计,并增强系统的性能。随着技术的不断进步和新挑战的出现,理解和应用无量纲系数的重要性只会增加,突显出它们在我们日益复杂的世界中的相关性。

相关单词

dimensionless

dimensionless详解:怎么读、什么意思、用法