NSE Application: Hagen–Poiseuille Pipe Flow | Why Parabolic Velocity Profile? 🔥 | GATE 2026 | ACE

Описание: In this session of the Fluid Mechanics Crash Course for GATE 2026, we apply the Navier–Stokes equation to one of the most important flow cases — laminar flow through a circular pipe.

We will derive the Hagen–Poiseuille equation step-by-step using NSE and understand:
• Why the velocity profile becomes parabolic
• How pressure drop is related to flow rate
• Wall shear stress and frictional losses
• Average velocity vs maximum velocity
• Flow rate–pressure relationship (Q–ΔP)

This derivation is repeatedly asked in GATE, PSU exams, and interviews — both directly and conceptually.

📌 Topics Covered:
✔ Fully developed laminar pipe flow
✔ Assumptions used in NSE application
✔ Velocity profile derivation
✔ Hagen–Poiseuille equation
✔ Discharge, shear stress & pressure drop
✔ GATE PYQs & conceptual questions

📚 Ideal for:
GATE 2026 | GATE 2025 | PSU (HPCL, IOCL, BPCL, ONGC, EIL) aspirants
Chemical | Mechanical | Civil Engineering students

👨‍🏫 Educator: Ankush Gupta (ACE – A Curious Educator)

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👉 Class PDFs & PYQs : http://bit.ly/4mOwXgg
👉 Telegram Group for Doubts & Updates: https://t.me/GateWithAce

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📌 LIVE Class Timings:
🕟 Monday to Friday – 4:30 PM
📘 Weekends = Self Practice & Revision

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Let’s make GATE 2026 Fluid Mechanics your success story! 💪

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#PipeFlow