Foundations — Applications — Pitot tube, Venturi meter, orifice flow

2.2.16 · D1 · Physics › Fluid Mechanics › Applications — Pitot tube, Venturi meter, orifice flow

Pitot / Venturi / Orifice formulas par trust karne se pehle, tumhe unhe padhna aana chahiye. Neeche har woh symbol aur idea hai jis par parent note rely karta hai, bilkul zero se build kiya gaya hai, aur har ek agle ko justify karta hai.

1. Fluid, streamline, aur "a particle of fluid"

Topic ko yeh kyun chahiye: har derivation kehti hai "point 1 ... point 2 ... along a streamline." Us phrase ka matlab hai: ek blob choose karo aur use wide pipe se throat tak, ya tank surface se hole tak travel karte dekho. Streamline picture ke bina, equation sirf symbols hai.

2. Density $\rho$ — cheez kitni heavy hai

Topic ko yeh kyun chahiye: ek fluid mein energy ko per unit volume bookkept kiya jata hai, aur "kitna fast" ko "kitni energy" mein convert karne ke liye tumhe pata hona chahiye ki har volume mein kitna mass hai — yeh exactly $\rho$ hai. Isi liye ek Pitot tube usi push ke liye air aur water mein alag speed deta hai.

3. Pressure $P$ — push per area

Topic ko yeh kyun chahiye: teeno devices ek pressure difference $P_1-P_2$ measure karte hain aur use speed mein convert karte hain. Pressure woh quantity hai jo tubes actually sense karti hain.

4. Speed $v$ aur area $A$

Pipe ko flow ke perpendicular ek churi se kaatne ka imagine karo — jo face expose hota hai woh $A$ hai.

5. Volume flow rate $Q$ aur Continuity

Topic ko yeh kyun chahiye: Continuity Equation doosri equation deta hai (Bernoulli ke alawa) jo humein ek unknown speed eliminate karne aur doosre ke liye solve karne deta hai.

6. Height $h$ aur $g$ — gravity term

Topic ko yeh kyun chahiye: $\rho gh$ term Torricelli ke draining tank ko drive karta hai. Ek horizontal Pitot ya Venturi mein, $h_1=h_2$ hota hai isliye yeh term simply cancel ho jaata hai.

7. Bernoulli ki teen energies, ek line mein

• $\frac{1}{2}\rho v^2$ ko dynamic pressure kehte hain — move karne ki "cost."
• $P$ (ordinary sensed push) static pressure hai.
• $P+\frac{1}{2}\rho v^2$ (jo ek face-on tube read karta hai jab woh flow ko rok deta hai) stagnation pressure hai.

In teenon naamon ke liye Dynamic vs Static vs Stagnation Pressure dekho, aur poori derivation ke liye Bernoulli's Equation dekho.

8. Manometer link: $\Delta P={\rho }_{m}g\Delta h$

Topic ko yeh kyun chahiye: real Pitot aur Venturi meters Pa display nahi karte — woh ek fluid column $\Delta h$ display karte hain. Manometers and Pressure Measurement dekho.

9. Prerequisite map

Ise top-down padho: raw ideas (particle, density, height) do master tools (Bernoulli, Continuity) ko feed karte hain, jo milkar teeno devices ko power karte hain.

Equipment checklist

Khud test karo — right side cover karo aur reveal karne se pehle jawab do.