Hi,
We have seen a number of threads, and one rather long thread in particular (Near the end of this one
http://www.hitechcreations.com/forums/showthread.php?threadid=115995 ) where the discussion has revolved around terms such as the “full throttle height”, the “critical altitude”, and also the “rated altitude” for an aero engine typical of those used in WWII. For those who would like to be able to follow those threads, but who are lost in the technicalities and terminology, and would like to understand the principles underlying the ebb and flow of such discussions, I would like to provide the following explanation… Seeker, sit up and pay attention.
But firstly a disclaimer! In trying to make any explanation as easy to understand as possible, it is necessary to cut out as much of the technical jargon as possible, to make the explanation as simple as possible, and if it helps folk to “get it” even a few sacrifices to precision and absolute correctness are necessary, to avoid becoming bogged down with the need to qualify every statement, so please, for those of you who are already knowledgeable, no nit picking please

If I wanted to write a text book it would probably be even easier, a lot shorter, a lot more precise, but fewer of the people trying to get to grips with this stuff would get it first time, if at all… Also, I’m going to refer to English or Imperial units because those were the units used in England through the war years.
Let’s start at the very beginning, and forgive me if it sounds as though I’m stating the obvious in some cases, but I think it is important, if you want to understand the finer points, to get right back to basics. So please be patient and don’t skip too much, because leaving holes or gaps in your knowledge is probably the biggest cause for misunderstanding something later, when we really get down to the nitty gritty. Lastly, it is rather long winded, and it’s easy to get lost along the route, to lose sight of where we are going, sorry about that, all I can say is, all good things are worth taking your time over, so try to bear with me.
So here goes… A petrol engine derives its power from the burning of petrol and air. If you own a motor car (or any kind of surface vehicle) you will have some idea of the mechanical workings of the engine, but like most motor car owners you may be inclined to regard the burning of petrol to be the more important partner in the process of combustion. This is natural, since the air is free and you have to pay for petrol. But from the point of view of the engine designer the air is even more important than the petrol, because it is harder to get the right amount of air into the cylinders than the right amount of petrol. Petrol is compact and easy to handle, whereas air is just the opposite.
In order to burn 1lb of petrol, from 12 to 15 lb of air are needed. For every gallon of petrol used, about 1200 cubic feet of air must be made to enter the engine. The internal combustion engine must therefore be designed to handle very large quantities of air. In fact the engine is really an air pump, and the power that can be obtained from it depends on how much air it can draw in. The small amount of petrol can always be supplied. The conception of the engine as primarily a machine for handling air is fundamental to a good understanding of the principles of the internal combustion engine. This explains why an increase in the bore or stroke of the cylinders, or in their rotational speed, usually results in an increase of power.
This brings us to an important concept, that we are going to need later… Volumetric Efficiency.
It might be expected that the cylinder would draw in on each induction stroke a volume of air equal to the swept volume, and this is approximately true. The really important thing, however, is not the volume, but the weight of air that enters on each induction stroke.
Now because of the resistance offered by the intake manifold, and even more, by the intake port, there is a distinct pressure drop of the air on its way to the cylinder even when the throttle valve is wide open. This means that the pressure, and therefore the density of the air on the cylinder side of the intake port, during the induction stroke is always less than that of the atmosphere surrounding the aeroplane. In this state, each cubic foot of air in the cylinder weighs less than a cubic foot of air outside.
Another factor tending to reduce the weight of air (or mixture) drawn into the cylinder is the temperature of the charge at the time the inlet valve closes. The inlet manifold maintains a temperature about equal to the boiling point of the petrol and the cylinder and piston are even hotter. As it passes from the carburettor to the engine the air is warmed, and warm air will always weigh less per cubic foot than cold air at the same pressure.
If it were possible to leave the intake valve open long enough for the pressure inside and outside to become equal and if, in addition, the parts of the engine were no warmer than the ordinary air outside, then, under these circumstances, a greater weight of air would fill the cylinder than actually does. The engine would be a more efficient air pump, and other factors being equal, it would deliver more power when the oxygen in the air was burnt. Unfortunately, this ideal state of affairs can only be obtained by turning over the engine infinitely slowly whilst it is cold, but although such an operation is of no practical use, it may be used as an imaginary standard, against which the actual usefulness of the engine as an air pump may be assessed.
This is the idea that lies behind the definition of volumetric efficiency. This quantity is defined as follows the weight of mixture entering cylinder per stroke divided by the weight of mixture to fill the swept volume at normal temperature and pressure multiplied by 100 to get a percentage.
Normal temperature and pressure are defined in order to give an exact value to the standard part of this expression and in England at the time of WWII these values were taken to be 15 degrees centigrade and 14.7 lb/sq inch.
The design of the engine has an important bearing on volumetric efficiency. The passage of the air through the inlet (or air scoop) and carburettor along the inlet manifold, through the inlet valves should be as unrestricted as possible. It is for this reason that the Merlin engines, for example, have twin inlet ports and valves in each cylinder.
The timing of the valves also has a considerable effect, so for example, the momentum of the inrushing charge is utilized by leaving the inlet valve open until some way past Bottom Dead Centre in order that the largest possible weight of air (and therefore mixture) may be drawn in.
So you can see that in order to get air into the engine, ideally, the temperature of the charge should be as low and the pressure outside the inlet as high as possible, consistent with other practical considerations. It is these two factors that we should deal with next and that leads us naturally to think about the effect of altitude on the temperature and pressure of the atmosphere.
Continued...