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🛠️ Minor Loss 計算機

專業免費的 Minor Loss 計算機。純前端本機毫秒級計算、零資料上傳、極致隱私保護。提供詳細公式推導、實例示範與常見問答。

即時推算結果 (Computed Output)
0.413 meters of fluid
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📜 計算歷史記錄 (試算軌跡)
尚無歷史記錄,每次點擊「計算」將在此留下試算軌跡...

What Is the Minor Head Loss Calculator?

Minor head loss (also called local or fitting loss) is the energy lost when fluid passes through valves, bends, elbows, tees, expansions, contractions, and other pipe fittings. Unlike major loss caused by wall friction along straight pipe, minor losses come from turbulence and flow separation at disturbances. This universal calculator uses the standard relation h_L = K · ((v^{2}) ÷ (2g)) to return the head loss in meters of fluid column.

How to Use It

Enter the loss coefficient K for your fitting and the mean flow velocity v in metres per second. The calculator multiplies K by the velocity head ((v^{2}) ÷ (2g)) to give the head loss hL. Typical K values: 90° standard elbow ≈ 0.9, fully open gate valve ≈ 0.2, fully open globe valve ≈ 10, sharp pipe entrance ≈ 0.5, sudden exit ≈ 1.0. Sum the K values of multiple fittings to model a fitting train at one velocity.

The Formula Explained

The equation

h_L = K · ((v^{2}) ÷ (2g))
expresses head loss as a multiple of the velocity head. The velocity head ((v^{2}) ÷ (2g)) is the kinetic energy of the flow expressed as an equivalent fluid height. K scales that velocity head: a larger, more disruptive fitting has a higher K and therefore a larger loss. The standard gravitational acceleration g = 9.80665\ m/s^2 is used.

Worked Example

For a 90° elbow with K = 0.9 and a velocity of 3 m/s: velocity head

= ((3^{2}) ÷ (2 × 9.80665)) = ((9) ÷ (19.6133)) = 0.4589\ m.
Head loss
= 0.9 × 0.4589 = 0.413\ m of fluid.

使用注意事項與精準校對原則(6 大核心守則)

📐 1. 嚴格對齊輸入量綱與單位

輸入各項數值時請務必確認量綱(例如小時、天數、金額、百分比),避免單位不匹配引發推算偏差。

🔒 2. 純前端本機毫秒級隱私保障

所有計算邏輯 100% 在您的終端瀏覽器內完成,資料絕不上傳伺服器,嚴格守護商業與個人隱私。

📊 3. 符合公認學術與產業計算模型

演算法嚴格遵循國際通用數學公式與標準計算模型,經多重情境交叉核對,數值嚴密精確。

📋 4. 一鍵複製與免登入 PDF 匯出

支援一鍵複製推算結果字串至剪貼簿,亦可直接點擊列印按鈕輸出純淨 PDF 工作報表。

🔄 5. 多情景敏感度動態對比

建議針對極端值與多組預期情景分別試算,觀察輸出數據的波動區間,輔助做出更穩健的決策。

🛡️ 6. 專業諮詢與日常參考免責聲明

本工具運算結果供日常排程、學業研習與事前參考之用,如涉及重大法規或投資決策請諮詢持證專家。

常見問題 (FAQ)

What is K?
K is the dimensionless minor loss coefficient, found in fitting manufacturer data or standard tables.
What units does the result use?
The result is head loss in metres of the flowing fluid (independent of density).
How do I combine fittings?
If several fittings share the same velocity, add their K values and enter the total.