Fluid Mechanics
🟢 Lite — Quick Review (1h–1d)
Rapid summary for last-minute revision before your exam.
Fluid Mechanics — Key Facts Pressure: P = F/A = ρgh (hydrostatic); Pascal’s Law: pressure transmitted equally in all directions Archimedes’ Principle: Buoyant force B = ρVg (weight of displaced fluid) Continuity: A₁v₁ = A₂v₂ (incompressible fluid, conservation of mass) Bernoulli: P + ½ρv² + ρgh = constant (along a streamline) ⚡ Exam tip: Bernoulli is for horizontal flow OR when h is constant — use P + ½ρv² = constant
🟡 Standard — Regular Study (2d–2mo)
Standard content for students with a few days to months.
Fluid Mechanics — NEET/JEE Study Guide Archimedes: B = ρ_fluid × V_submerged × g; compare densities by weighing in fluid Floatation: fraction submerged = ρ_object/ρ_fluid; for ice floating in water: 9/10 submerged Continuity: Av = constant → v ∝ 1/A; for pipe narrowing, velocity increases Bernoulli application: Venturi meter (measure flow rate), Pitot tube (measure speed of aircraft), sprayer Surface tension: γ = F/L (force per unit length); excess pressure inside soap bubble = 4γ/r (2 surfaces) Capillarity: height h = 2γcosθ/(ρgr); rise if θ < 90° (water glass), fall if θ > 90° (mercury glass)
🔴 Extended — Deep Study (3mo+)
Comprehensive coverage for students on a longer study timeline.
Fluid Mechanics — Comprehensive Notes Navier-Stokes equation (terminal form): η ∇²v = ∇P - ρg for viscous flow at low Reynolds number Poiseuille’s law: volume flow rate Q = (πr⁴ΔP)/(8ηL); highly sensitive to radius (r⁴!) Stokes’ law: viscous drag F = 6πηrv; terminal velocity v_t = (2r²/9η)(ρ-σ)g for sphere Reynolds number: Re = ρvD/η; Re < 2000 → laminar; Re > 4000 → turbulent Venturi meter: Q = A₁A₂√(2gh/(A₁²-A₂²)) where h = difference in manometer levels Surface tension detailed: Laplace pressure ΔP = 2γ/r (sphere), ΔP = 4γ/r (soap bubble); drives capillary action Dimensional analysis: Buckingham Pi for drag force on sphere F = ηvD, Re = ρvD/η
📊 JAMB Exam Essentials
| Detail | Value |
|---|---|
| Questions | 180 MCQs (UTME) |
| Subjects | 4 subjects (language + 3 for course) |
| Time | 2 hours |
| Marking | +1 per correct answer |
| Score | 400 max (used for university admission) |
| Registration | January – February each year |
🎯 High-Yield Topics for JAMB
- Use of English (Grammar + Comprehension) — 60 marks
- Biology for Science students — 40 marks
- Chemistry (Organic + Physical) — 40 marks
- Physics (Mechanics + Optics) — 35 marks
- Mathematics (Algebra + Geometry) — 40 marks
📝 Previous Year Question Patterns
- Q: “The process of photosynthesis requires…” [2024 Biology]
- Q: “The electronic configuration of Fe is…” [2024 Chemistry]
- Q: “Find the value of x if 2x + 5 = 15…” [2024 Mathematics]
💡 Pro Tips
- Use of English carries the most weight — master grammar rules and comprehension strategies
- JAMB syllabus is your Bible — questions come directly from it. Download and use it.
- Past questions are highly predictive — repeat patterns appear every year
- For Science students, Biology and Chemistry are high-scoring if you study NCERT-level content
🔗 Official Resources
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📐 Diagram Reference
Clean educational diagram showing Fluid Mechanics with clear labels, white background, labeled arrows for forces/fields/vectors, color-coded components, exam-style illustration
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