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Module 1: Regenerators

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     Fixed Bed Regenerator: Numerical Problem – Part 2





    You are welcome to this lecture, today we are going to talk about the design of a fixed bed type regenerator. So here we will try to solve a numerical problem, already we have discussed about the design procedure. What are the type of I mean how we will go about the design of the regenerator, whether the parameters that is to be fixed or finalized from a design problem of a regenerator that we have already discussed in the previous lecture class in this particular letter as you can understand that the design of a refrigerator is quite similar to the design of a heat exchanger like that we intend to find out the length of other parameters of the design parameters of the heat exchangers alecto that here we want to decide whatunder the condition that the product of the business process is already known on the temperature of the fluid flowing inside are flowing in the heart straight during the heart opinion or during the cold period the temperature of the fruits which have given so if it is about time as you have said again that this is about right metrics and it is made of this a copperhead screen so this is something name to us already we have talked about the back bit scarce but this is about the couple that screen and this is used as the metrics for the United and Chelsea have said about the metrics are material we know it’s the specific heat particularly at the temperature in if it is specified7th and it’s a black screen diameter is 0.5 ml so it is the oven screen and they said the metre is cold it is Kevin so we have to find out the equivalent diameter and its expression we will remember in the previous last we talked about it and if it is not well today we’ll discuss about that part that stuck to get screen are contained in two identical cubes so it’s it is 52.5 mm and the working gas is argan server with salary as I have told that we need to know certain more parameters like the flow rate of the fruit stains and its temperature and pressure so that we’ll be able to find out the fat properties and here for this horse trainer we know thatis 20 gram per second does the phone screen is entering at a temperature of 100000 to reduce pressure of 304 kilo Pascal but the Explorer is not equal to the product and its product is reduced slightly by 19 it’s at 19 second the switching frequency of the wave generated as 3 cycles per minute so that means in every after three cycles per minute I mean hot plate and the coal field strength will change and for this particular problems we have already specified the heat transfer coefficient otherwise this is generally it’s not known and we are supposed to find out once we have told about the white screen and it’s florax unknown so the heat transfer coefficient and the pressure dropsbut I work for this problem we have already evaluated and it’s the hot and the cold freighter transport patients are given as a church and a sister and what we are supposed to find out is the length and the mass of the purpose cream referred to as cheap and effectiveness regenerate effectiveness 0.98 so if we have to achieve the 98% efficient generator effectiveness what will be the mass of the copper screen to be used and what will be the mass are what will be the length of the regenerated that you have to specify all we have to calculate the parameters that has been given and the price include that we have to follow up with first look into that and then we’ll go around the solution of this problem so we will try to find out what is the average temperaturehard-pressed room and the blue fruit Street so we would be able to find out that capacity and the conflict capacity and from there we’ll be able to calculate the capacity this year because we know that depending on the fair value whether it is cl equals to 110 that way our calculation will changed so once we know at the CR value and we will be having is not see it cost one then we’ll go for this calculation of this experiment is and given by the relation Ellen into 1 – 1000 cm x / 1 – episode 3 the calculation of exile on main and research salon one is this correlation is given already we have talked about it so we will try to find out this silent one so now we have an effectiveness corresponding to the sale value8% from that we’ll be able to calculate tax and we’ll be able to find out an equivalent absolute one so that is equals to given by this correlation so once we know that we’ll try to find out the cm cm the Matrix capacity weight ratio so this but please know that we have we have for this parameter we need to know the last load of the resonator and the specific heat of the original writer but unfortunately this is one of the parameter that’s what we’re trying to find out so we have no idea about this yet so if we don’t know what we have to do is that we have to we do not know about it so we will listen some equivalent value of thisEpsilon because he had already Epsilon one we have calculated based on this parameter x we have calculated Epsilon one and we have assumed sound value of c a v so once we have that see Amy and equivalent matrix capacity ratio and then we have the value of Epsilon should be able to find out the equivalent and cube so like you know if we have a find some value of business sale online corresponding to the point 98 or something lifepoint’s 968 of purple if we have obtained the point 968 and we have I used to us a value of ACA because 21.5 so the first farming NTU is 60 so that's whatthe assumption of CMC would be able to get some equivalent active so that if you don’t include how you will be able to calculate the NQ based on this relation so once they know that a true value then we have enough we can put it in terms of intercourse to you if I see me and you know that this email part is already known to us because already we have calculated chmcc so out of this to we would be able to find out that distinguish which one is the CBD so once we look the same in the centre part is already know this email part is known we would be able to calculate the e-way now you know that this is basically nothing but one by HH and a EZ pass one lightthe degenerate originated in case of Pittsburgh originated is a h is equals to AC and they can you take out it from the outside this one and also we need to have an estimate of the state’s a&a HHH and I see the heat transfer coefficient for the hospital and conflict condition and so accordingly as you can understand that we have already have an estimate of this way since I know this you and you know we have already knowledge about the scn h.h. and HCA we have the enough we can calculate the heat transfer South Australia correspondent to the heart rate of the Colchester so once we know the surface area now we know what is the ratio of surface area for Leinster and all generally it is in terms of theso from there we would be able to find out there’s a dog lose by future is already known in terms of its current city and etc and then we’ll be able to correlate it with this 30 will be correlated with the best length and from there we would be able to calculate the length of the original particularly this problem we know that this issue is getting buy white screen a w l is equals to 4 * 1 – 80 * a frontal area / DW what is this wdw is the diameter of the Earth is theis the front area of the bed so I thought I think they’re ugly and we know the frontal area we know the boys can drive it at the post it so we would be able to find out the length of the resonator and once we know the length to find out the Ms the amount of the element of the word screen as a copyright claim that will be necessary so this is given by 1 – eevee into real estate Wichita so this is if he is known as he’s already been given and Vegeta is the volume of the of the regenerator and accordingly will be able to calculate thevalue of cny my texts are persecuted because we didn’t have an idea about this a mess so we have been all this calculation based on some value of the MS and now we’re getting some help this is the end no understand that this in depending on our initial this may not be the same we have the best on this a mess anyway will now be able to calculate a new value of the cm and that value of the same way give us a new value of the CNN from them again you will get into effective and from there we have to calculate the interest on that ain’t you will be able to calculate that you will by Simon and the obsidian will be repeated so that means she had this process becomes calculation of the number of iterations that are to be done will depend so if we make a good estimation that cml the number of iterations will be less otherwise if we are making a buck estimate of this regenerative capacity cm I will end up with a different we have to do number of iterations to get the actual so I can understandso you can understand this is the person you for doing the calculations original to design so now we will go to that site I will try to calculator for this particular problem which we have to find in this case we have been told that we are going to use the power screen about type a generator and DC generator is made of this cup away screen its velocity is given and the other parameters like say that is the intensity is coming to 8910 kg per metre cube this is where talking about the carpet and then specific heat CW it is also point 350 and it is circular jewel Casey Calvin this is the specific heat and then we had the thermal conductivity wrks this is because to 300 what part of the values we have for the material and once we know this natural we had to now look for as I have said that we need to look at this is called the material part of this is for the carpet and we need to look for the gas part the gas is all done and then since we have already said that discusses organ and it is entering at the same temperature and pressure and it is moving out with us some different temperature and pressure so it’s only temporary service 304 the heart and 200 for the Coldstream survival are tickets at the hundred as the for the gold one so it is an average temperature of 200 Kelvin we will try to estimate is property and the CP corresponding to this value is .524 kilojoules per kg so that’s what is the value of these organs such as calgon cp103 would be able to calculate the capacity of the heart rate and that of the course now is the CAA cos2a message and that will come out 20 x 52 for what what tell me mccc and the last letter of this one is slightly less that says 019 * 524 and the smelly what does it and this comes out to be 18.8 787 so I understand that this is the sorry this is 9.956 what percent so it is the same name and this is the Sea Max so this one is the same as value and the value is the same in early so we have the same in and see much and then we would be able to calculate the CR so this is a mean by C-Max and from there we’ll be able to find out that this is nothing but pt950 so we have an idea about co&co not equals to 1 so already we have an ideapalometa that will come out to be we have already told about the expression of this one someone - .95 * this is SIA x the Epsilon .98 / 1 – 1.98 that is the effectiveness so this comes out to be 1.2 38 1.238 is thevalue of the app so we get to I don’t want to be point 9602 so this is the value of Epsilon one and understand what we need to do is that you’re ready to calculate the metrics capacitated ratio and which is not known cm as we have said that it is we have no idea about the mass of the regenerated material that will be necessary to make an assumption about the CMC Amy and that has been chosen as 34 this particular problem so once we know that cm equals to 3 and we have an idea about thisthe equivalent capacitance 3 supposed to go back to that and you don’t see any relation particularly for the excellence and so we have this value we have this belief we will go for this night so I couldn’t find that into if you use that Chad Gable signs that this comes out to be 29.6 since this is known as 29.6 we would be able to calculate the value of the NQ so there’s anything comes my arrow and 21 and 2 equivalent in their related by the relation and effective / to see are so we have the sent you coming to b30n2 hello based on our assumption of cm is equals to 3 so we’re getting in kailua open to because to 30.46 really think you will be able to calculate it is just a nothing but a you by Simi and we have the idea about semen and this is a new way would be come one by age CSRdistance unknown so away by cement 7 is already known this part is not this is it this will come out to be so it does look / 1/3 + 1 by a church called to the power minus one and if we put this value or divide this by you by Simi and then it comes to be away by semi that she goes to the end to that is equals to 30.4 * 7 value was the same any valuables point 9.956 so that is equals to $1 into 1 by x + 1 by x whole to the power – 1 Sophia if you look at even find thatew 21.73 to metre square so this is what is the area needed for this particular region writer to active the unit 98% positive but please find that we have made an assumption that the cm equals blank district so now I want to know the area that we would be able to as we have said that we will be able to calculate the length sonw bio is 4 into 1 – 8 and x a frontal area / DW is the word amateur and from there I will put all these values evening is 0.7 then we have the frontal area that also is about- 3 – 3 and from there we kept the Blue by l is equals to 5.19 5.195 metre square per make it so only do we have the value of kW would be able to calculate the length and it will come out to find 333 later so this is the length of the resurrected so now we have the mass that is equal to 1 minus y v x road SE20 and then you know if I put the values that comes out to be 1.927 kg of copper screen the notice says we haveable to come because we know the CMA course two hemispheres lacs ÷ that we should want it all the time it is so once they had that one now we would be able to calculate the Matrix capacity that Russia and from there we get the end of the second estimate this will come out to be 3.30 87 so we have been quite a good estimate of this year and accordingly you will find that Sierra is coming to be .3 and from there I will be able to calculate the mass and they will have this to you if you fell into 29.3 and finally the length of will converge to nearly about .23 metre or 3:30 whatever associate that will postpone to a mass of about 1 point the total loss will come out to be about 1.90 6 kg of copper screamed so this is the international about the design of the refrigerator and but please find that in many of the cases we will not have this idea about the this heat transfer coefficient and we had to depend on the correlation existing correlations or we had to depend on the experimental value of the heat transfer coefficient to design this kind of regenerators. Thank you for your attention.