V2EX logarithmic profile

Logarithmic Profile

释义 Definition

logarithmic profile对数型剖面/对数分布曲线。指某个量(如速度、浓度、温度、亮度等)随位置或尺度变化时,呈对数函数规律的分布“轮廓/曲线”。常见于湍流边界层(壁面附近速度分布)、声学与信号处理、数据可视化等领域。

发音 Pronunciation (IPA)

/lrmk prfal/

例句 Examples

The wind speed near the ground often follows a logarithmic profile.
近地面风速常常呈对数型剖面分布。

In turbulent boundary layers, engineers use a logarithmic profile to approximate the mean velocity as a function of height above the wall.
在湍流边界层中,工程师常用对数型剖面来近似平均速度与离壁高度之间的关系。

词源 Etymology

logarithmic 来自 logarithm(对数):17 世纪由苏格兰数学家 John Napier 推广;词根源自希腊语 logos(比例/理性/“比”)arithmos(数),强调“用数与比例来表达”。
profile 来自意大利语 prfilo,原指“轮廓线/侧影”,后泛指“分布曲线、剖面图”以及“概貌”。

相关词 Related Words

文学与著作 Literary Works

  • Boundary-Layer Theory Hermann Schlichting(边界层理论中常讨论“对数律/对数速度剖面”)
  • Turbulent Flows Stephen B. Pope(湍流平均速度的对数剖面/对数律)
  • An Introduction to Fluid Dynamics G. K. Batchelor(流体力学中关于近壁区与剖面近似的讨论)
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