ContinuityMass in equals mass out, and what that does to velocity in a pipe.Mechanical EngineeringMass entering a control volume equals mass leavingit, so a narrower section means a faster flow.ρ1A1V1 = ρ2A2V2 · incompressible: A1V1 = A2V2Area halvesVelocity doublesIncompressible flow.Diameter halvesVelocity times fourArea goes as d².Q = 0.02 m³/s, A = 0.01V = 2 m/sV = Q ÷ A.THE COMMON MISTAKEHalving diameter to halve the areaArea goes as diameter squaredHalving a pipe diameter quarters the area, quadruples the velocity, and raisesthe friction loss by roughly thirty times.Steady flow assumed. Compressible flow keeps the density term andyou cannot cancel it out.Continuitylearnposters.com
Continuity — printable engineering wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Continuity poster

The rule, 3 worked examples, and the mistake everyone makes.

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.

Browse every Mechanical Engineering poster, or start from the full catalogue.