I'm adding another layer to the complexity - doctors like to do that - by pulling a couple quotes from Kal's website: http://www.theelectricbrewer.com. FYI, Kal has published plans for the 3-vessel brewer to go completely electric. In his section entitled "Brew Day: Step by Step" he gives the following explanation for his mash temperature for the particular recipe:
[set temp to] 149F. This is the mash temperature for our recipe. We are mashing at a fairly low temperature in order to produce a wort that is more fermentable which will leave us with a dryer and lighter tasting beer. Mashing at higher temperatures results in less starch to sugar conversion leaving a beer with a fuller body and flavour.
A few pages later he describes the liquor:grist ratio as follows:
Like mash temperature, the water to grain ratio (often called 'liquor to grist ratio') used when mashing also affects the beer you produce. Generally speaking, a thicker mash (less water) produces a beer that is fuller/sweeter as it creates more unfermentable sugars while a thinner mash (more water) produces a thinner/dryer beer as it creates more fermentable sugars.
This mash thickness is usually expressed as the number of quarts of water per pound of grain. . . .
So my take on those two variables is:
Regarding temperature of the mash:
Lower = more starch conversion > more fermentables = dryer, lighter beer
Higher = less starch conversion > less fermentables = fuller, more flavor
Regarding thickness/thinness of the mash:
Thicker = less conversion = fuller, sweeter flavor
Thinner = more conversion = thinner, dryer beer.
So my theory - based upon study as opposed to experience - is that the 3 beers resulting from same recipe would not be exactly the same when brewed by the following brewers:
1. traditional 3 vessel brewer
2. full volume BIAB brewer
3. maxi-BIAB because his kettle is not large enough
Since full-volume BIAB uses a much thinner mash, a given recipe should result in a dryer, lighter beer than if it were brewed on a 3V system.
The recipe might be identical if the maxi-BIABer used the typical liquor:grist ratio as the 3V brewer. But my take on maxi-BIAB is that you mash at whatever volume your kettle will handle - which still might be thinner than 3V mash - and simply sparge with the remainder of your full volume, adding it to the kettle as it boils down.
So, my thinking is that full volume BIAB brewer must mash at a higher temperature than the 3 vessel brewer in order to get the same conversion. The maxi-BIAB brewer must mash at a temperature somewhere in between depending upon his liquor:grist ratio. I know I'm making things much more complicated.

Has anyone experimented with the volumes and temps to come up with any sort of relationship between the two variables for a given conversion?
For example if I'm going to brew 5 gallons of beer with O.G. of 1.062 in a 16" diameter pot, the maxi-BIAB calculator gives the grain bill as appr. 12 lbs . . .
1. 3-vessel brew would mash with 1.2 qt/lb = 14.4 quarts (appr 3.5 gallons)
2. full volume BIAB would mash with 9.12 gallons.
So, if the 3V brewer were mashing at 149*F, the BIABer would end up with a much dryer and thinner beer. Is there any conversion factor to apply that would give the BIABer the exact same beer profile from the recipe?
Please don't respond with RDWHAHB, hee hee.
Thanks,
Keith