03 // 双向 STEM 与金融计算器 // 流体、结构与电气工程计算器Q = A × v

管道连续性方程与体积流量计算器

利用不可压缩流体连续性方程 Q = A × v 换算体积流量、管道横截面积或流体流速。

Q = A × v
选择要计算的未知量(或直接在任意输入框中输入数值):当前求解: Q — Volumetric Flow Rate
计算结果

Volume of fluid passing per second (switch unit to L/min or GPM)

0.00001100

Internal pipe flow area in m² (A = πD²/4)

0.0000150

Average axial fluid speed in m/s

0.0550
计算结果 · Volumetric Flow Rate (Q)
0.025m³/s
单位换算:

分步代入计算过程

01Canonical Law: Q = A × v
02Given Inputs (Base Units): A = 0.01 m², v = 2.5 m/s
03Solve for Q (Volumetric Flow Rate): Q = 0.025 m³/s

Conservation of mass for incompressible fluid flow dictates that volumetric flow rate Q equals the product of cross-sectional flow area A and mean fluid velocity v: Q = A × v.

常见参考标准值

Pumped Water Supply Linev = 1.5 – 2.5 m/s

Optimal velocity balancing pipe cost vs erosion/water hammer

Pump Suction Headerv = 0.6 – 1.2 m/s

Low velocity preserves Net Positive Suction Head (NPSHa)

Compressed Air Mainv = 6.0 – 10.0 m/s

Low-pressure-drop pneumatic distribution

20 行数值对照表

Volumetric Flow Rate (Q) · Cross-Sectional Pipe Area (A)

Pipe Continuity & Volumetric Flow Rate Calculator — Cross-Sectional Pipe Area → Volumetric Flow Rate
#Cross-Sectional Pipe Area (m²)Volumetric Flow Rate (m³/s)Δ %
010.01 m²当前0.025 m³/s0.00%
020.362378 m²0.905945 m³/s+3523.78%
030.724746 m²1.8119 m³/s+7147.46%
041.0871 m²2.7178 m³/s+10771.13%
051.4495 m²3.6237 m³/s+14394.81%
061.8118 m²4.5296 m³/s+18018.49%
072.1742 m²5.4355 m³/s+21642.17%
082.5366 m²6.3415 m³/s+25265.85%
092.899 m²7.2474 m³/s+28889.53%
103.2613 m²8.1533 m³/s+32513.20%
113.6237 m²9.0592 m³/s+36136.88%
123.9861 m²9.9651 m³/s+39760.56%
134.3484 m²10.8711 m³/s+43384.24%
144.7108 m²11.777 m³/s+47007.92%
155.0732 m²12.6829 m³/s+50631.60%
165.4355 m²13.5888 m³/s+54255.27%
175.7979 m²14.4947 m³/s+57878.95%
186.1603 m²15.4007 m³/s+61502.63%
196.5226 m²16.3066 m³/s+65126.31%
206.885 m²17.2125 m³/s+68749.99%
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常见问题解答 (FAQ)

如何使用在线 管道连续性方程与体积流量计算器 工具?+

输入已知参数或拖动滑块,即可在浏览器中实时计算并可视化 管道连续性方程与体积流量计算器(基于关系式 Q = A × v)。利用不可压缩流体连续性方程 Q = A × v 换算体积流量、管道横截面积或流体流速。

可以导出或打印 管道连续性方程与体积流量计算器 的结果吗?+

可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。

我可以清空 管道连续性方程与体积流量计算器 中的示例数据并从空白状态开始吗?+

可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项,随时也可一键重新加载示例数据。