The main difference you will between the two is really its efficeincy of dissolving oxygen in to the wort.
Natural aeration at atmospheric pressure will max out at 8ppm of dissolved oxygen, no matter how long you continues to aerate.
^this would include using a mix stir, aquarium pump setup, shaking, or pouring from vessel to vessel. All of these methods can reach 8ppm but will differ in the amount of time required.
Aeration using a pure O2 setup can achieve up to 30ppm of dissolved oxygen in the wort in a very short time.
A typical ale of 1.050 OG using Mr. Malty recommended pitching rates suggests 10ppm disolved oxygen, larger beers recommend even higher amounts, upwards of 16ppm.
The real question becomes wether you want to spend less money ($0 - $25) and sacrafice the amount of available O2 in the wort, or spend more money ($50 - $80) and provide adequate aeration for even the largest beers.
Also here is an article from Wyeast
[quote=“Wyeast”]Oxygenation
Oxygen is a critical additive in brewing. Oxygen is the only necessary nutrient not naturally found in wort. Adding adequate oxygen to wort requires a fundamental understanding of why yeast need oxygen, how much oxygen they need, and how to get oxygen into solution and the factors affecting solubility of oxygen.
Why Yeast Need Oxygen
Yeast use oxygen for cell membrane synthesis. Without oxygen, cell growth will be extremely limited. Yeast can only produce sterols and certain unsaturated fatty acids necessary for cell growth in the presence of oxygen.
Inadequate oxygenation will lead to inadequate yeast growth. Inadequate yeast growth can cause poor attenuation, inconsistent or long fermentations, production of undesirable flavor and aroma compounds, and produces yeast that are not fit for harvesting and re-pitching.
How Much Oxygen?
Oxygen requirement is variable depending on: yeast strain employed, original gravity of wort, and wort trub levels.
Some yeast strains have higher oxygen requirements than others. It is generally safe to assume that you need at least 10ppm of oxygen. 10ppm will supply adequate oxygen in most situations. Over-oxygenation is generally not a concern as the yeast will use all available oxygen within 3 to 9 hours of pitching and oxygen will come out of solution during that time as well. Under-oxygenation is a much bigger concern.
Higher original gravities are stressful to yeast as well as being difficult to get oxygen into solution. As the gravity of wort increases, solubility of oxygen decreases. Increased temperatures also decrease the solubility of wort.
The unsaturated fatty acids found in wort trub can be utilized by yeast and directly incorporated into membranes. If wort trub levels are low, yeast will need to synthesize more of these lipids and therefore will require more oxygen.
Methods of Aeration / Oxygenation
The best method for dissolving oxygen into solution is to inject pure oxygen through a sintered stone that is in-line during run-in. There are pieces of equipment available that greatly increase the solubility of the oxygen that is injected. Greater solubility is achieved by creating a restriction where the oxygen is injected followed by a much less restrictive chamber followed by another restriction. This design causes turbulence which allows greater contact time and mixing between the oxygen bubbles and the wort which increases the rate of oxygen transfer to the wort.
The quantity of pure oxygen or air necessary to achieve adequate dissolved oxygen levels depends on many factors which vary greatly from brewery to brewery. It is important to remember that 8 ppm is the maximum level of dissolved oxygen that can be dissolved into wort when using air. To achieve levels higher than 8 ppm pure oxygen needs to be used. Measurement of dissolved oxygen levels with a dissolved oxygen meter is the only sure way to know if you are achieving adequate oxygen levels.
Wort temperatures and wort gravity both have profound effects on oxygen solubility. As wort temperatures increase, oxygen solubility decreases. As wort gravity increases, oxygen solubility decreases. These are very important factors to recognize and compensate for.
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