Those dispensers measure the volume of liquid they dispense and shut off when they’ve delivered enough liquid to fill the cup. They don’t monitor where that liquid is going, so if you put the wrong sized cup below them or press the button twice, you’re in trouble.
As you suspect, the pump isn’t able to detect the change in gasoline pressure that occurs when the fill level reaches the nozzle. Instead, the nozzle uses several hidden components to shut itself off when the tank is full. There is a small hole near the end of the nozzle that becomes blocked by the liquid gasoline as soon as the fill level reaches that hole. Blocking this hole with gasoline is what shuts off the valve. There is actually a thin tube inside the main gasoline delivery hose that operates this valve system. That tube runs from the hole in the nozzle to a vacuum pump inside the gasoline-pumping unit. While the pump is dispensing gasoline into a partially filled tank, air flows easily into the nozzle’s hole and the pressure inside the thin tube remains close to atmospheric pressure. But when the level of gasoline rises high enough, it essentially blocks the hole and the pressure inside the thin tube drops. This pressure drop is what triggers the valve and stops the gasoline flow. Look for the hole near the end of the metal nozzle next time you fill your car with gasoline. In most cases, it’s easy to see.
A vortex is a region of fluid that’s circulating in one direction around a line passing through that region. If you imagine yourself looking along that line, you would see the fluid flowing either clockwise or counter-clockwise around the line itself. Tornadoes and whirlpools are both vortices since they involve fluids circulating in one direction around a central line.
The Reynolds number is a measure of the way in which a moving fluid encounters an obstacle. It’s equal to the fluid’s density, the size of the obstacle, and the fluid’s speed, and inversely proportional to the fluid’s viscosity (viscosity is the measure of a fluid’s “thickness”—for example, honey has a much larger viscosity than water does). A small Reynolds number refers to a flow in which the fluid has a low density so that it responds easily to forces, encounters a small obstacle, moves slowly, or has a large viscosity to keep it organized. In such a situation, the fluid is able to get around the obstacle smoothly in what is known as “laminar flow.” You can describe such laminar flow as dominated by the fluid’s viscosity—it’s tendency to move smoothly together as a cohesive material.
A large Reynolds number refers to a flow in which the fluid has a large density so that it doesn’t respond easily to forces, encounters a large obstacle, moves rapidly, or has too small a viscosity to keep it organized. In such a situation, the fluid can’t get around the obstacle without breaking up into turbulent swirls and eddies. You can describe such turbulent flow as dominated by the fluid’s inertia—the tendency of each portion of fluid to follow a path determined by its own momentum.
The transition from laminar to turbulent flow occurs at a particular range of Reynolds number (usually around 2500). Below this range, the flow is normally laminar; above it, the flow is normally turbulent.
Viscosity is a measurable quantity—a liquid has a specific viscosity as measured in units of poise or pascal-seconds. Thickness refers to the same characteristic as viscosity, but isn’t a specific quantity. It’s certainly correct to say that a thick liquid is a liquid with a large viscosity.
Most faucets do have a turn just before the water comes out and that turn is there to slow the water down. Unless the faucet is opened for maximum flow, the pressure of the water emerging from the valve part of the faucet is pretty close to atmospheric pressure, so there isn’t any need to control that pressure. But the water emerging from the valve may be traveling very fast and it could easily spray across the room if there were nothing in its way. To prevent such sprays, most faucets are bent so that water spraying out of the valve will hit the bend and become turbulent. The turbulence will help it to convert its kinetic energy into thermal energy so that it will emerge from the faucet at low speed and atmospheric pressure. (Great question!—I’d never thought of this before).
The water entering the hose has a certain amount of energy per liter. That energy can be in one of three forms: pressure potential energy, gravitational potential energy, or kinetic energy. If you let it flow freely through the hose, most of that energy will become kinetic energy and the water will move quickly through the hose. But it will encounter frictional effects as it slides past the walls of the hose (its viscosity participates here) and it will convert much of its kinetic energy into thermal energy by the time it leaves the hose. However, if you pinch off the flow with your thumb, the water won’t be able to convert its energy into kinetic form as it enters the hose. Most of the energy will remain as pressure potential energy. The water will move slowly through the hose and it will experience relatively little energy loss to frictional effects. Most of the energy will remain by the time the water reaches your thumb. Then, as the water flows past your thumb to the outside air, its pressure will drop suddenly and its energy will become kinetic energy. The water will spray out at very high speed.
If the oil in your car is has too little viscosity, it will easily flow out of the gaps between surfaces and will not lubricate them well. Those surfaces will experience sliding friction and wear. If the oil has too much viscosity, it will waste the engine’s energy by opposing motion and turning work into thermal energy. Modern motor oils have carefully adjusted viscosities that balance the two problems. Since temperature affects viscosity (e.g., hot molasses has less viscosity than cold molasses), motor oils add chemicals that stabilize their viscosities over wide temperature ranges.
Air does exert frictional forces on water, but much less than a surface would. Thus a gutter would be a better water carrier than a pipe. It would have one less surface to slow the flow of water.
Below 2.17 K, liquid helium behaves very differently than normal fluids. It behaves as though it were made of two intermingled fluids: one that is normal in every way and the other that is completely without viscosity. Depending on what sort of experiment you do, you will see one or the other fluid. If you swirl the liquid helium with a stick, you will see the viscous fluid component swirling and splashing. If you pour the liquid helium through a filter made of tightly packed dust, you will see the non-viscous component rushing through. No normal fluid can travel through packed dust, because its viscosity slows its travel until it doesn’t move at all. But the viscosity-free component of liquid helium can flow easily through any holes, no matter how small. It can flow through holes that even helium gas has trouble passing.