Sporter Barrels vs Heavy Barrels

Mark,
I'll give this a little more thought based on some simplified mathematical analysis. I can state right now that as barrel diameter increases, steel barrel volume/mass increases to the 2nd power of barrel diameter (a squared function). Whereas exterior barrel surface area only increases to the 1st power - in other words a direct 1:1 increase of surface area due to increasing barrel diameter. So increasing barrel diameter will increase the mass of steel in the barrel at a greater rate than it will increase exterior surface area.

I'll update this post when I have some more time on my hands. But I think the increased cooling rate is minimal. The greatest advantage, with respect to heat up and cool off the larger diameter barrel has over the smaller diameter barrel is the larger barrel will take more shots to reach an equal temperature during the initial shot string, because of the greater thermal mass (heat sink effect) of the extra steel in the heavier barrel. And for the initial repetitive-fire shot string, a barrel that heats up more slowly will be less prone to warp or shift points of impact, compared to the thin-walled tubes.

There are, of course, other advantages to the heavier barrel, such as the additional mass results in less shifting of POA during the firing process. It takes more force to initiate motion of the larger mass than the smaller mass. But you've focused on rates or heat-up, cool-off, and even more specifically, heavy barrel versus light barrel temperatures under steady, methodical, sustained rate of fire. I believe that is really what you've focused on. For a given, sustained rate of fire over extended periods of time (like 2 hours), will the heavier profile barrel reach a higher or lower temperature than a lighter profile barrel.

My current perspective is this: the benefit of the heavier barrel under such sustained fire is substantially less than the benefit of the slowed rate of heat-up during the first string of firing.

Just to be clear --- rifles built correctly move very little if any when they get hot. The key is correctly. A factory tube with a 20 - 25 dollar tube on it is going to be very susceptible to movement as a result of heat—also the action stress will become apparent as well as leaving the ammunition in a hot chamber----I could go on but why you get the point.

I have had to shoot in matches that got the barrel according to my laser thermometer over 200 degrees.
 
Mark,
I'll give this a little more thought based on some simplified mathematical analysis. I can state right now that as barrel diameter increases, steel barrel volume/mass increases to the 2nd power of barrel diameter (a squared function). Whereas exterior barrel surface area only increases to the 1st power - in other words a direct 1:1 increase of surface area due to increasing barrel diameter. So increasing barrel diameter will increase the mass of steel in the barrel at a greater rate than it will increase exterior surface area.

Paul I agree with your math, but the mass or volume is inconsequential to the question. What we are comparing is inflow to out flow and not how big the tank is. If we are pouring water into two water tanks with valves in the bottom of them and one valve is fully open and the other valve is only half open, we will be able to pour a higher rate of water into the tank with the valve fully open without over flowing it.

In the case of the barrels, the surface area is the valve and the surface is dictated by the mass (or volume) of the barrel. But the fact is that the bigger barrel as the bigger outflow valve allowing a greater amount of heat to be dumped into it without spilling over.

Bottom line is that rate you can input without overflowing is dictated by the output rate.

My current perspective is this: the benefit of the heavier barrel under such sustained fire is substantially less than the benefit of the slowed rate of heat-up during the first string of firing.

I would say the benefit is directly proportional to the differences in surface area. With a Sendero and Finnlight, you could increase the rate of fire of the Sendero by about 25%. The advantage of the heavier barrel is that if you maintained that rate of fire, the barrel would remain cooler because it has more mass to absorb the heat. If you went to a heavier barrel with twice the surface area, you could double the rate of fire.
 
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The damage to a barrel is in the throat from excess shooting (heat, erosion). The throat (the inside of the barrel) will heat up faster and to a higher temp than the outside in the same time frame. If the outside of the barrel reaches 200 degrees as in Boss Hoss's post above, then the temp inside the barrel was higher than that at one point. The thinner barrel will heat up on the outside faster and give an indication of heat faster than will the thicker barrel. The inside will heat up faster than the heat can dissapate to the outside. Once heated a thicker barrel will take longer to cool than a thinner barrel
 
Bottom line is that rate you can input without overflowing is dictated by the output rate.
Mark,
The reason I mention the mass factor is because the increased mass does affect the rate of heat (energy) transfer. The rate of heat transfer is directly dependent upon the temperature of the two bodies exchanging energy. In our case study, the temperature of the steel barrel and the temperature of the surrounding air. The greater the difference in temperatures, the greater the rate of heat transfer. The lower the difference in temperatures, the lower the rate of heat transfer.

The reason the mass of steel comes into play is it directly affects the temperature of the steel barrel over a given period of time. The longer the heavy steel barrel remains at a higher temperature relative to air temperature, then the greater the rate of heat transfer to the surrounding air. The faster the lighter barrel, with less steel mass, drops to a lower temperature - the lower the rate of heat transfer to the surrounding air.

The premise that "the mass or volume (of steel) is inconsequential to the question" is incorrect. Any property that results in the barrel maintaining a higher or lower temperature over any given period of time, "directly affects the rate of heat transfer throughout that given period of time". Since the mass of steel affects the temperature of any barrel over time, the mass of steel in the barrel is a contributing factor affecting the rate of heat transfer. Inflow and outflow are expressed as units of energy transfer per unit of time. The mass of steel does influence the rate of energy transfer, because it alters the temperature of the barrel over time.

To clarify your specific interest, is it correct to conclude that what you really want to know is this: Will the lighter or heavier profile barrel reach the higher temperature over a sustained, steady rate of fire over a prolonged period of time?
 
Increase barrel diameter from 11/16" to 1" diameter (plain straight cylinder shape), and the surface area increases 45%, for any equivalent barrel length.

With a .284 bore, the same increase in barrel diameter will increase barrel mass by 155%, for any equivalent barrel length.

I suspect barrel temperatures would remain lower in the heavier barrel under most reasonable scenarios of prolonged fire, as much due to increased barrel mass as due to any increased surface area.

At high rates of sustained fire, I expect both bores would be toast in short order, with respect to accuracy - no matter the diameter or the exterior surface temperature. The heavier barrel would probably dissipate the heat of several extra shots within its extra mass before it was also cooked.

When I consider these type of questions, I go to extremes, and that usually leads to insights which are reasonably correct. For example, what would be expected from a 12" diameter barrel versus a 3/8" diameter barrel. The exterior of the 12" diameter barrel will remain cool for a long time. But the interior bore surface could still be cooked with overly agressive rates of fire.
 
Mark,
The reason I mention the mass factor is because the increased mass does affect the rate of heat (energy) transfer. The rate of heat transfer is directly dependent upon the temperature of the two bodies exchanging energy. In our case study, the temperature of the steel barrel and the temperature of the surrounding air. The greater the difference in temperatures, the greater the rate of heat transfer. The lower the difference in temperatures, the lower the rate of heat transfer.

The reason the mass of steel comes into play is it directly affects the temperature of the steel barrel over a given period of time. The longer the heavy steel barrel remains at a higher temperature relative to air temperature, then the greater the rate of heat transfer to the surrounding air. The faster the lighter barrel, with less steel mass, drops to a lower temperature - the lower the rate of heat transfer to the surrounding air.

The premise that "the mass or volume (of steel) is inconsequential to the question" is incorrect. Any property that results in the barrel maintaining a higher or lower temperature over any given period of time, "directly affects the rate of heat transfer throughout that given period of time". Since the mass of steel affects the temperature of any barrel over time, the mass of steel in the barrel is a contributing factor affecting the rate of heat transfer. Inflow and outflow are expressed as units of energy transfer per unit of time. The mass of steel does influence the rate of energy transfer, because it alters the temperature of the barrel over time.

To clarify your specific interest, is it correct to conclude that what you really want to know is this: Will the lighter or heavier profile barrel reach the higher temperature over a sustained, steady rate of fire over a prolonged period of time?

Good post Paul. That's what I was looking for. I'll change my statement from inconsequential, to insignificant. How's that? :)

Here's why... Let's use and example and throw some numbers into it. The numbers are not meant to be real, just representative. Comparing a light barrel with a heavy barrel that has twice the mass and 25% more surface area... let's say each round pumps 10 K-calories into the barrel and that raises the temp of the light barrel by 20* and the heavy by 10*, and then we wait until half the heat energy dissipates from each barrel, 5 K-calories each, which will bring the light barrel down to +10* above ambient and the heavy barrel down to +5* above ambient, I maintain that the heavy barrel will loose that 5* (5 K-calories) about 25% faster than the light barrel will loose 10* (5 K-calories). And if we repeat this cycle of firing waiting and firing, I maintain we will be able to fire about 12 rounds in the heavy barrel for every 10 rounds we fire in the light barrel and keep both rifles in their perspective temperature windows. So.... there is little difference in the two barrel temps and the ambient temp which makes the mass difference insignificant in this example. You can fire the heavier barrel at greater rate fo fire and run it slightly cooler. make sense?
 
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This will get very interesting as different propellants depending on their chemical makeup are more abrasive when burned and can cause accelerated erosion especially in extreme cases. I can cool a barrel just as fast as it heat up so it really make no difference to me in the least. When shooting in a match is the only time I am not able to stop and take 30 seconds to cool the tube and forward part of the action down.

Too many people run around and whine about this when it is a problem with a simple solution. FWIW my rifles still shoot POA when they are Cool or Hot---depends on the components used, if your builder really knows what he is doing and if the shooter knows what he is doing. Example if you have a hot chamber and then place another round in and close the bolt that ammunition is heating up very quickly and then guess what happens?

When shooting a rapid string it is easy when using a RBLP rifle but only place the round on the follower and just barely start the bolt, then when the sight picture is obtained and the condition is right --- close the bolt with the index finger and middle finger touch the trigger. It only takes less than 2 seconds to do this.
 
The damage to a barrel is in the throat from excess shooting (heat, erosion). The throat (the inside of the barrel) will heat up faster and to a higher temp than the outside in the same time frame. If the outside of the barrel reaches 200 degrees as in Boss Hoss's post above, then the temp inside the barrel was higher than that at one point. The thinner barrel will heat up on the outside faster and give an indication of heat faster than will the thicker barrel. The inside will heat up faster than the heat can dissapate to the outside. Once heated a thicker barrel will take longer to cool than a thinner barrel



At high rates of sustained fire, I expect both bores would be toast in short order, with respect to accuracy - no matter the diameter or the exterior surface temperature. The heavier barrel would probably dissipate the heat of several extra shots within its extra mass before it was also cooked.
I agree with these statements.

I do too, but if we regulate the firing as described in my example I think both these truths become negligible. Point being, the heavier barrel can sustain a higher rate of fire without becoming over heated.
 
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At high rates of sustained fire, I expect both bores would be toast in short order, with respect to accuracy - no matter the diameter or the exterior surface temperature. The heavier barrel would probably dissipate the heat of several extra shots within its extra mass before it was also cooked.
I do too, but if we regulate the firing as described in my example I think both these truths become negligible. Point being, the heavier barrel can sustain a higher rate of fire without becoming over heated.



If you are measuring the temp from the outside, then yes. But the inside of the barrel, the throat is going to get very hot in both guns and with require cooling if you do not want to ruin the barrel.

To illistrate the point, hold a torch on one side of a steel plate the plate will turn red hot on the side of the torch way before it does on the other side. The thicker the stell the longer it will take for the other side to turn red. Many time the side with the torch will start to melt before the color changes on the other side. The thicker the steel the more likely hood of over heating the inside before the heat disapates to the outside
 
If you are measuring the temp from the outside, then yes. But the inside of the barrel, the throat is going to get very hot in both guns and with require cooling if you do not want to ruin the barrel.

To illistrate the point, hold a torch on one side of a steel plate the plate will turn red hot on the side of the torch way before it does on the other side. The thicker the stell the longer it will take for the other side to turn red. Many time the side with the torch will start to melt before the color changes on the other side. The thicker the steel the more likely hood of over heating the inside before the heat disapates to the outside

It's a valid point and what you are talking about here is transient conduction.

The heat energy applied to the bore isn't constant but comes bursts causing a pulse like heating reaction in the wall of the barrel. Once again, I don't think it's significant. The spike in temperature in the bore(throat) surface will cool down relatively quick, IME as the temp stabilizes throughout the wall of the barrel. Once the wall of the barrel becomes isothermic (same temp) we have steady state conduction. In the course of fire, if we allow the barrel to partially cool down to near ambient conditions and fire again we hover and bounce back and forth from transient conduction to steady state conduction. The temperature differences on the inside of the barrel will be more extreme than the outside, and the average temp will always be higher. I don't think it makes a big difference in the rate of cooling between the heavier and lighter barrels. The difference in wall thickness between my Sendero and Finnlight is about .09", .22" vs .31".
 
It's a valid point and what you are talking about here is transient conduction.

The heat energy applied to the bore isn't constant but comes bursts causing a pulse like heating reaction in the wall of the barrel. Once again, I don't think it's significant. The spike in temperature in the bore(throat) surface will cool down relatively quick, IME as the temp stabilizes throughout the wall of the barrel. Once the wall of the barrel becomes isothermic (same temp) we have steady state conduction. In the course of fire, if we allow the barrel to partially cool down to near ambient conditions and fire again we hover and bounce back and forth from transient conduction to steady state conduction. The temperature differences on the inside of the barrel will be more extreme than the outside, and the average temp will always be higher. I don't think it makes a big difference in the rate of cooling between the heavier and lighter barrels. The difference in wall thickness between my Sendero and Finnlight is about .09", .22" vs .31".

Montanarifleman, Your a smart feller:) some of the words that you use I haven't a clue as to what they mean unless you insert them like this (___) LOL

Just playin. Do you think It would be possible to just get Two rifles that would fit your scenario and do an actual hands on test . Say shoot a 15 round string out of a fat barrel .308 and 15 rounds out of a skinny barrel .308 . Then use some sort of temperature device to check and see which one cools the fastest . You could even test to see how much longer in reality it takes the fat barrel to reach the same temp as the skinny barrel. Just an Ideah from an ole hill billy :D

BigBuck
 
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