How to quickly cool a bottle of drink using seven equations

Say, you have your favorite drink in a bottle (water, in my case, beer for most of my friends and coke for most of my students) with dimensions of axial length about 5 times that of the diameter. You want to drink it cold (at a reasonably less than room temperature). If you are given the choice of putting the bottle inside a refrigerator to cool it, how (on Earth) will you place the bottle full of drink so that it cools faster: horizontally or vertically (see Fig. 1)?

Figure 1

Read the note below to know the answer and explanation

How to quickly cool a bottle of drink -- [ PDF Download ]

Chill that drink quickly by placing it horizontally inside the fridge.

Reference

[1] Convection Heat Transfer by A. Bejan, in which the above situation is given as an end of the chapter exercise.

Related posts:

1. Free Convection For Dummies
2. Free Convection and the Rayleigh Number