Start with pressure as force per area, then keep the fluids story coherent through hydrostatic pressure, steady-flow continuity, Bernoulli's speed-pressure-height trade, buoyancy from displaced fluid, and resistive drag that settles into terminal speed.
Use this topic page when you want the fluids path to stay bounded and causal. The branch starts with a surface load, keeps pressure honest as a force-per-area quantity, then adds the static-fluid story where pressure acts equally in all directions at one point while still increasing with depth. From there the moving-fluid branch stays compact: Continuity Equation keeps one stream honest by conserving volume flow rate through narrow and wide sections, Bernoulli's Principle turns that same speed bookkeeping into a pressure-and-height trade, buoyancy reuses pressure difference to explain displaced-fluid weight and floating height, and Drag and Terminal Velocity closes the loop with one falling-body bench where a real fluid pushback grows with speed until the forces balance. That keeps the topic coherent without turning into a giant fluids survey.
Best first concepts
The topic page keeps these starts in their own compact row so the first screen is about orientation and next action, not stacked feature cards.
Use one piston-and-tank bench to connect force per area, pressure acting in all directions, and the way density, gravity, and depth build hydrostatic pressure.
Pressure and fluid statics
Strong first stop for getting into this topic without scanning the whole library.
Keep one steady stream tube on screen and use Q = Av to connect cross-sectional area, flow speed, and the same volume flow rate through narrow and wide sections.
Steady flow and continuity
Strong first stop for getting into this topic without scanning the whole library.
Follow one steady ideal-flow pipe and see how pressure, speed, and height trade within the same Bernoulli budget while continuity keeps the flow-rate story honest.
Steady-flow energy and pressure
Strong first stop for getting into this topic without scanning the whole library.
Use one immersed-block bench to connect pressure difference, displaced fluid, and the density balance behind floating, sinking, and neutral buoyancy.
Buoyancy and displaced fluid
Strong first stop for getting into this topic without scanning the whole library.
Drop one body through a fluid and use mass, area, and drag strength to see drag grow with speed until force balance settles into terminal velocity.
Resistive motion and terminal speed
Strong first stop for getting into this topic without scanning the whole library.
Grouped concept overview
Each group is authored for this topic, but the actual concepts, progress badges, and track cues still come from the canonical concept metadata and shared progress model.
Group 01
Build the force-per-area idea first, then keep the same tank while depth, density, and gravity explain why deeper points have higher pressure and why that later matters for buoyancy.
Group 02
Keep the same incompressible stream moving through one changing pipe. Continuity Equation explains where the speed change lives, and Bernoulli's Principle shows how that same speed change and throat height reshape the static pressure honestly.
Keep one steady stream tube on screen and use Q = Av to connect cross-sectional area, flow speed, and the same volume flow rate through narrow and wide sections.
Strong first stop for getting into this topic without scanning the whole library.
Follow one steady ideal-flow pipe and see how pressure, speed, and height trade within the same Bernoulli budget while continuity keeps the flow-rate story honest.
Strong first stop for getting into this topic without scanning the whole library.
Group 03
Keep the same fluid-statics language, then use pressure difference across an immersed block to explain displaced-fluid weight, floating height, and why full submersion deeper does not keep raising buoyant force.
Group 04
Keep one falling-body bench compact and honest while drag grows with speed, the net force shrinks, and terminal velocity appears once the fluid pushback matches the weight.
