What’s on the Continuity poster
The rule, 3 worked examples, and the mistake everyone makes.
- Mass entering a control volume equals mass leaving it, so a narrower section means a…
- ρ1A1V1 = ρ2A2V2 · incompressible: A1V1 = A2V2
- Area halves = Velocity doubles
- Diameter halves = Velocity times four
- Q = 0.02 m³/s, A = 0.01 = V = 2 m/s
- Common mistake: Halving diameter to halve the area → Area goes as diameter squared
Steady flow assumed. Compressible flow keeps the density term and you cannot cancel it out.
Questions about the Continuity poster
- What’s on the Continuity poster?
- The rule, 3 worked examples, and the mistake everyone makes. Mass entering a control volume equals mass leaving it, so a narrower section means a…; ρ1A1V1 = ρ2A2V2 · incompressible: A1V1 = A2V2; Area halves = Velocity doubles; Diameter halves = Velocity times four; Q = 0.02 m³/s, A = 0.01 = V = 2 m/s; Common mistake: Halving diameter to halve the area → Area goes as diameter squared. Steady flow assumed. Compressible flow keeps the density term and you cannot cancel it out.
- Who is the Continuity poster for?
- Continuity belongs to the Mechanical Engineering section rather than to a school year, because engineering is not something one grade owns. Anyone learning thermofluids can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Continuity poster?
- Any duct, pipe or nozzle where the cross-section changes along the flow. A wall chart earns its place by being glanceable from where the work is happening, so Continuity belongs on the wall where that engineering work actually happens, within glancing distance, rather than filed away.
- What other posters go with Continuity?
- Bernoulli's Equation, Drag & Lift and Entropy & Irreversibility sit alongside Continuity in the Mechanical Engineering section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Bernoulli's EquationDrag & LiftEntropy & Irreversibility
- Is the Continuity poster free to download and print?
- Yes. Continuity downloads as a free PDF with no account, no email and no watermark, like everything else in the Mechanical Engineering section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Continuity poster print at?
- Continuity is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Continuity loses nothing.Printing guide
Related posters
Charts that sit alongside Continuity on the same wall.
Bernoulli's Equation
Mechanical Engineering
Drag & Lift
Mechanical Engineering
Entropy & Irreversibility
Mechanical Engineering
First Law: Closed System
Mechanical Engineering
Fluid Statics
Mechanical Engineering
Modes of Heat Transfer
Mechanical Engineering
Pipe Head Loss
Mechanical Engineering
Power Cycles
Mechanical Engineering
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