I am interested in describing the heat transfer and temperature gradients within a mixture of independent radiating bodies. States like this occur in many systems and i have been having a bit of trouble modeling this simple scenario. An example of a system is charcoals within a BBQ, and also glass beads within a water bath, or even nano scale hetero junctions. Of particular interest to me at this time is to start with the simple model of charcoals. A quick note is that this is probably a "suspension" and not a mixture because i am only considering one type of body and it surroundings are the fluid air. Charcoal will be called bricks. First of all, I will start the model where the bricks are all at the same temperature and that temperature will be high enough that we can consider the bricks already ignited. This is the initial state. In dynamics we can favorably assume that heat transfer between bricks will reach an equilibrium with temperature gradients throughout the volume. Second, the shape of the mixture is very important in determining how heat is transferred from the system and how temperature varies within the volume of bricks. Thus we can naturally assume that the "hottest" bricks are the ones which are closest to a large mass of radiating bricks. Because of this the model will be confined to the geometry of a cylinder which is packed full of bricks and open on both ends. The rigid wall of the cylinder will be a moderately conductive material such as sand, but not metal. Third, loss of surface area on the coals due to destructive reaction will not be considered at this time even though it plays a critical role in determining how heat flows within the model... This is for simplicity as i feel allowing the bricks to vary their mass in time will make things very complex, too complex for the application i have. Now that these three conditions of the model have been stated let us consider more about the phenomena taking place. To my knowledge the release of potential energy within charcoal is accomplished by a combustion reaction. Some how the coal is able to burn with a very limited supply of oxygen. I assume that the charcoal works by having a large volume of slow combustion material rather then a small volume of fast combustion. When you blow on a brick it seems to get hotter and decompose faster, and my intuition tells me that this is because you are "changing" The environment around the coal to create conditions favorable for faster combustion (remove the waste, bring in the oxygen). So in this cylinder i have the hypothesis of what will happen. The first is that the center of the cylinder volume will have the hottest bricks due to being surrounded by the most radiating bodies. However this could prove false because the amount of oxygen reaching the center might be different enough from some other position within the mixture which will have a higher temperature. The second is that the ends of the cylinder will be hottest due to having an environment with more oxygen. Any help with this? -Kyle (p.s after this then i move onto modeling with air blowing in from one end.