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对数平均温度差(LMTD)

1910
Shell and tube heat exchanger demonstrating Log Mean Temperature Difference in thermodynamics.

(图片仅供参考)

对数平均温差 (LMTD) 是换热器中传热的有效平均温差,尤其适用于逆流和并流式换热器。它是两端热流体和冷流体温差的对数平均值。LMTD 的计算公式为:[latex]Delta T_{LM} = frac{Delta T_A – Delta T_B}{ln(Delta T_A / Delta T_B)}[/latex]。

The LMTD method is a cornerstone of heat exchanger analysis. It arises from the integration of the heat transfer rate equation along the length of the exchanger, assuming constant fluid properties and overall heat transfer coefficient. The fundamental heat transfer equation is [latex]Q = U A \Delta T_{LM}[/latex], where Q is the rate of heat transfer, U is the overall heat transfer coefficient, and A is the heat transfer surface area. The LMTD correctly accounts for the non-linear temperature profile of the fluids as they flow through the exchanger. For a counter-current flow exchanger, [latex]\Delta T_A[/latex] and [latex]\Delta T_B[/latex] are the temperature differences at the two ends of the exchanger. For a parallel flow exchanger, the same formula applies, but the temperature differences are calculated differently based on the inlet and outlet positions. The counter-flow arrangement is generally more efficient as it yields a higher LMTD for given inlet and outlet temperatures, allowing for a smaller required surface area A for the same heat duty Q. However, when the temperature difference at one end is equal to the other, the LMTD is simply that temperature difference. If one of the temperature differences is zero, the LMTD is mathematically undefined, but in practice, this represents a limit where heat transfer ceases to be effective. For more complex geometries like cross-flow or multi-pass shell-and-tube exchangers, a correction factor F is applied to the LMTD, such that [latex]\Delta T_{eff} = F \cdot \Delta T_{LM, counterflow}[/latex].

UNESCO Nomenclature: 3328
– Thermodynamics

类型

抽象系统

中断

Incremental

用法

广泛使用

前体

应用程序

专利:

NA

潜在创新理念

  • 利用实时对数平均温差计算进行人工智能驱动的多级换热器网络优化
  • 利用计算流体动力学优化具有复杂流路的紧凑型换热器,以最大化对数平均温差修正因子。
  • 智能暖通空调系统可动态调节流体流量,以维持最佳的有限元温差,从而提高能源效率。
  • 用于电子冷却微流体热交换器的微型化LMTD传感器
  • 基于对数平均温差曲线预测和缓解换热器热应力的软件
  • phase-change material (pcm) integrated heat exchangers where the lmtd model is adapted for 潜热 transfer periods
  • self-cleaning heat exchangers that use controlled flow reversals to disrupt fouling, monitored by lmtd performance drops
  • 基于LMTD的汽车废热回收系统控制算法
  • 采用定制几何形状设计的3D打印热交换器旨在提高最小温差温度(lmtd)。
  • 用于演示流体流动方式对最小二乘均方根偏差 (lmtd) 和整体效率影响的教育性虚拟现实模拟
相关术语:对数平均温差 (LMTD)、换热器、热力学、传热、逆流、并流、热工程、努塞尔特、总传热系数。

历史背景

对数平均温度差(LMTD)

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(如果日期未知或不相关,例如“流体力学”,则提供其显著出现的近似估计)

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