# Determine number of chill rollers for cooling

1. Oct 17, 2016

### roldy

I've been tasked to see if I could determine the number of chill rollers needed to cool down glue being extruded onto a fabric. I'm not sure if my method is valid. The roller has wall thickness d with contact area A. Water inside chill roller is at T1 and glue is at T2.

1) Calculate the rate of heat transfer of the first roller
2) Use the rate of heat transfer to calculate T2t, temperature of glue after time t of roller contact
3) Find ΔT of the glue of the first roller.
4) Use ΔT to determine number of chill rollers to be used. Round answer accordingly

1) Q/t = kA(T2-T1)/d

2) T2t = Qd/(tkA) + T1

3) ΔT = T2t - T2

4) n = (Treq - T2)/ΔT

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2. Oct 17, 2016

### CWatters

I don't think the temperature delta won't be the same for each roller. I think you need to repeat steps 1-3 for each roller.

3. Oct 18, 2016

### roldy

After re-reading my problem I realized that I do in fact have to repeat the steps. Although, I'm not all to certain these steps will work because when I back solve forT2t I will get T2.

Last edited: Oct 18, 2016