Yes, but only in one direction and if you use UDP instead of TCP. Also your MTU needs to be small enough for the packages to fit between the blades of the fan, otherwise that causes package fragmentation.
Yes, but the tailwind becomes a headwind on the way back to the router so you won't see any actual speed changes. Putting a fan on both ends will cancel each other out too.
You need to change all the gaseous air out for either liquid or a solid as waves propagate faster through them. You should start with filling your house with liquid oxygen as a nice half step so you still have something to breathe easily, as solids are a bit more tricky.
It's not 1 way traffic. Signals go both ways. To increase your wifi speeds, have 1 fan blow from your router to your device and 1 fan from your device blow towards your router. Signals go faster in warm air so make sure to pump up the thermostat. It also goes faster with less CO2 in the air so make sure to open all windows (unless you own a Mac). Lower moisture in the air also improves speeds, so crank your AC on max. Also placing both your router and device in rice helps.
The Wifi isn't waves made of air, the wifi is waves of the electromagnetic spectrum, similar to visible light, and they travel faster than you can perceive.
So no.
But you can do something similar with a microwave oven. It's just that any signal making it through the radiation of the oven would be disfigured and useless.
Sort of a serious answer because I'm bored:
You're thinking of speeding up the air when what you should be thinking about is speeding up the waves. But then your waves are reaching you plenty fast already with latency being in the single digit ms range. Not much of a point in trying to accelerate that, really. You won't notice anyway.
If you feel like your internet connection via Wi-Fi is slow then the bottleneck is probably not with the Wi-Fi part of your network but the Internet Access Point behind it. Or even further down the line.
Now this is based on the assumption that you are in a fairly typical network environment, i.e. using semi-current hardware with moderate, if any, electromagnetic interference in the area. If you're living right next to a high voltage transformer station and using a router from 2008 then, yes, you're going to have Wi-Fi performance issues.
But in most cases, people complaining about "slow Wi-Fi" are actually suffering from Internet connectivity issues.
Think of it this way: If you enjoy your McDonald's from the local franchise but you can only get 100 burgers per hour from them (of course you need MOAR!) then upgrading your 320hp Camaro to a 400hp Mustang is not going to enable you to pick up appreciably more burgers from the drive through in the same amount of time.
If you had a fan blowing out the window, it could slightly reduce the density of the air in your house, leading to a tiny increase in the speed of light through it, so that would make the waves technically faster, but by a vanishingly small margin
It wouldn't increase the bitrate of your router at all, so it wouldn't make a difference, but the waves would be faster
Depends on the direction the fan is facing. If it's blowing towards you, that increases air pressure in front of it, which means more things for photons to interact with and a lower speed of light, thus slower wifi. Away from you would decrease the pressure and result in faster wifi due to the increased speed of light. Theoretically at least. I don't think this effect is measurable.
Edit: thinking about it, the electromagnetic noise from a fan motor would likely be worse than the benefit. You might even be able to detect that
Not gonna lie, I thought about that, but I didn't wanna risk sounding stupid, so I just google it instead of posting it on a forum. Luckily I didn't actually make a forum post.
If it changes the air pressure, changing the refractive index, it will affect how fast the waves will travel. If you put it behind the router blowing towards the computer, does that increase the pressure? Then it would slow down I think. But this would only make a difference for a single wave packet; any real connection sends many packets and would be limited by the frequency of packets sent.
I was an adjunct instructor at a local technical college teaching computer hardware courses. One student asked me if a hard drive that was full weighed more than a hard drive that was empty.