Wind Wall says: "The strong wind keeps fog, smoke, and other gases at bay."
Cone of Cold says: "A blast of cold air erupts from your hands."
Given Cold of Cold is cold air, and air is just a mix of gases, is it stopped by a Wind Wall?
Wind Wall says: "The strong wind keeps fog, smoke, and other gases at bay."
Cone of Cold says: "A blast of cold air erupts from your hands."
Given Cold of Cold is cold air, and air is just a mix of gases, is it stopped by a Wind Wall?
The text of Wind Wall says (emphasis mine):
A wall of strong wind rises from the ground at a point you choose within range. [...] The strong wind keeps fog, smoke, and other gases at bay.
Strong Wind is a game term, check the DMG (page 110):
Strong Wind
A strong wind imposes disadvantage on ranged weapon attack rolls and Wisdom (Perception) checks that rely on hearing. A strong wind also extinguishes open flames, disperses fog, and makes flying by nonmagical means nearly impossible. A flying creature in a strong wind must land at the end of its turn or fall.
There are other spells that magically produce strong wind, such as Storm of Vengeance, Gust of Wind. When a spell which magically creates gas or fog interacts or is affected by strong wind, its description specifies it. As an example, have a look at Stinking Cloud's text:
You create a 20-foot-radius sphere of yellow, nauseating gas centered on a point within range. [...] A strong wind (at least 20 miles per hour) disperses it after 1 round.
There are other spells that have a similar interaction: Cloudkill, Pyrotechnics, Skywrite.
The Cone of Cold spell does not present any of the above wording, or text that specifies the interaction with strong winds, hence it can bypass the wind wall.
As a DM, considering the wording of the spells and the relative difference in power (5th level against 3rd level), I would rule that Cone of Cold bypasses the Wind Wall, but the latter grants advantage to the saving throw.
As answered in this question all text in the spell description is rules text. You quote the relevant passages of both spells. Wind Wall keeps gases at bay and a blast of cold air is a blast of gas.
The relevant portion of the spell does not just rely on standard rules regarding Strong Wind, in which case Cone of Cold would not be affected. Instead, it specifies other effects including the one you cited.
The strong wind keeps fog, smoke, and other gases at bay...
So yes, Wind Wall would block Cone of Cold
Terms that have no game specific definition are to be interpreted by their common English meaning. So, cold air is a gas, and wind wall blocks gases. Is that enough?
First, there is no flavor text in spells. Still, some parts of the spell, often the first sentence, may be more flavorful and can cause issues if taken literally. For example, look at this question if you can cast burning hands while holding a staff, where normally holding your spell focus and having a free hand should be sufficient to cast the spell.
Cone of Cold says:
A blast of cold air erupts from your hands. Each creature in a 60-foot cone must make a Constitution saving throw.
There is a full stop between these two sentences. The spell text does not say that the blast of cold air is what is causing the saving throw, altough it certainly is strongly implied. If you interpret this to mean it is the cold air causing the freeze, then yes, Wind Wall will block it. If you read this as two independent effects, firstly, a blast of cold air erupts from your hands, and secondly, everyone in the area must make a saving throw, then no, Wind Wall will not block it.
Eddymage's answer makes a good case that several other spells that create gases and are dispersed by strong wind like the one wind wall creates say so explicitly (e.g. Stinking Cloud or Cloudkill) , and Cone of Cold's blast of strong air does not say that; and by analogy if it were affected by such a wind, it should say so. Still, this is somewhat indirect, tringulating from what other spells say.
Since there is room for interpretation here, the DM will have to decide how they read it.
I think the intendend way this works is likely that it would not block Cone of Cold. However, if I were your DM, I would rule Wind Wall blocks Cone of Cold. Wind Wall is a rarely used spell (at least in my experience), and can use all the help it can get to be more useful. Another DM however might prefer to let the wall not block Cone's effect.
P.S. You could argue that Cone of Cold is a much higher level spell at spell level 5 instead of 3, and therefore more powerful and should not be blocked, but there is no rule in the game that higher level spells always trump lower level ones; the only rule for this is when you compare two different sources of the same effect, and try to determine which one wins (Combining Magical Effects, PHB p. 204).
Can a Wind Wall keep a Cone of Cold from affecting someone on the other side?
Several things in the descriptions you've posted at play here answer that question, but first, the real clincher is this - Wind Wall is 3rd level and Cone of Cold is 5th level. Higher level spells are usually unimpeded by lower level spells. There are exceptions which are written into a spells description. But in this specific case, "blast" is stronger than "strong". Wind Wall would affect a Cloudkill, as "It lasts for the duration or until strong wind disperses the fog, ending the spell." Interacting with the Wind Wall would disperse it at point of contact. That's in the spell description.
So, in short, a Cone of Cold would blast through a Wind Wall affecting those on the other side at full effect.