biot number

简明释义

毕奥数

英英释义

例句

1.In heat transfer calculations, the biot number 比奥数 helps determine whether to use lumped system analysis or a more complex model.

在热传递计算中，比奥数 biot number 有助于确定是使用集中系统分析还是更复杂的模型。

2.In biomedical applications, understanding the biot number 比奥数 is crucial for designing effective cooling strategies for tissues.

在生物医学应用中，理解比奥数 biot number 对于设计有效的组织冷却策略至关重要。

3.When analyzing the cooling of a metal rod, we calculate the biot number 比奥数 to assess thermal resistance.

在分析金属杆的冷却时，我们计算比奥数 biot number 以评估热阻。

4.A biot number 比奥数 less than 0.1 indicates that the object can be treated as a lumped system.

当比奥数 biot number 小于 0.1 时，表明该物体可以视为一个集中系统。

5.For small spheres, the biot number 比奥数 is often much less than one, simplifying the heat transfer analysis.

对于小球体，比奥数 biot number 通常远小于1，从而简化了热传递分析。

作文

The field of heat transfer is an essential aspect of engineering and physics, playing a crucial role in various applications such as thermal management, chemical processing, and environmental control. One of the important dimensionless numbers in this field is the biot number, which helps engineers and scientists understand the relationship between conductive and convective heat transfer within a system. The biot number is defined as the ratio of the thermal resistance within a body to the thermal resistance at its surface. This dimensionless parameter is particularly useful when analyzing heat conduction in solid objects that are exposed to a fluid environment.To grasp the significance of the biot number, we must first consider its formula: Bi = hL/k, where Bi is the biot number, h is the convective heat transfer coefficient, L is the characteristic length of the object, and k is the thermal conductivity of the material. A low biot number (typically less than 0.1) indicates that conduction within the object dominates over convection at its surface. In such cases, the temperature within the object can be assumed to be nearly uniform, simplifying the analysis of heat transfer.Conversely, a high biot number (greater than 10) suggests that convective heat transfer plays a significant role, and temperature gradients may exist within the solid. Understanding these temperature distributions is critical for designing effective thermal systems, as it allows engineers to predict how materials will respond under different thermal loads.In practical applications, the biot number aids in determining whether to use lumped or distributed parameter models for heat transfer analysis. Lumped systems assume that the temperature within the object is uniform, which is valid when the biot number is low. On the other hand, when the biot number is high, a more complex model that accounts for temperature variations within the object is necessary.For example, consider a metal rod heated at one end while the other end is exposed to a cooling fluid. If the biot number is low, the temperature along the length of the rod will be relatively uniform, and engineers can use simple equations to calculate the heat transfer rate. However, if the biot number is high, the temperature will vary significantly along the rod, requiring more advanced mathematical techniques to model the heat transfer accurately.In conclusion, the biot number is a fundamental concept in heat transfer analysis that provides insights into the relative importance of conduction and convection. By understanding the implications of the biot number, engineers can make informed decisions regarding thermal design and optimization. As technology advances and new materials are developed, the relevance of the biot number will continue to be paramount in ensuring efficient thermal management across various industries, from aerospace to electronics and beyond.

热传递领域是工程和物理学的一个重要方面，在热管理、化学加工和环境控制等各种应用中发挥着至关重要的作用。在这个领域中，一个重要的无量纲数是biot number，它帮助工程师和科学家理解系统内导热与对流热传递之间的关系。biot number被定义为物体内部的热阻与其表面的热阻之比。这个无量纲参数在分析暴露于流体环境中的固体物体的热传导时特别有用。要理解biot number的重要性，我们首先必须考虑它的公式：Bi = hL/k，其中Bi是biot number，h是对流热传递系数，L是物体的特征长度，而k是材料的热导率。当biot number较低（通常小于0.1）时，表明物体内部的导热主导于其表面的对流。在这种情况下，可以假设物体内部的温度几乎均匀，从而简化热传递的分析。相反，高biot number（大于10）则表明对流热传递起着重要作用，固体内部可能存在温度梯度。理解这些温度分布对于设计有效的热系统至关重要，因为它使工程师能够预测材料在不同热负荷下的反应。在实际应用中，biot number有助于确定在热传递分析中是使用集中参数模型还是分布参数模型。集中系统假设物体内部的温度是均匀的，这在biot number较低时是有效的。另一方面，当biot number较高时，必须使用更复杂的模型来考虑物体内部的温度变化。例如，考虑一根金属杆的一端被加热，而另一端暴露于冷却流体中。如果biot number较低，则杆的长度上的温度将相对均匀，工程师可以使用简单的方程来计算热传递速率。然而，如果biot number较高，则温度将在杆的不同位置显著变化，需要更先进的数学技术来准确建模热传递。总之，biot number是热传递分析中的一个基本概念，它提供了关于导热和对流相对重要性的见解。通过理解biot number的含义，工程师可以就热设计和优化做出明智的决策。随着技术的进步和新材料的开发，biot number的相关性将在确保各个行业（从航空航天到电子产品及其他领域）的有效热管理中继续发挥关键作用。