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L.M.T.D. Correction factors Print E-mail

 

Estimation of the “true temperature difference” from the logarithmic mean temperature difference by applying a correction factor to allow for the departure from true counter-current flow:

 

ΔT m = Ft ΔT tm                          (eq – 1.10)

 

Where ΔT m = true temperature difference, the mean temperature difference for use in the design eq. 1.3.

            Ft      = the temperature correction factor.

 

The correction factor is a function of the shell and tube fluid temperatures, the number of tube and shell passes. It is normally correlated as a function of two dimensionless temperature ratios:

 

            R   = (T1 – T2)                (eq – 1.11)

                       (t2 – t1)

and

            S   =  (t2 – t1)                (eq – 1.12)

                     (T1 – t1)

 

R is equal to the shell-side fluid flow-rate times the fluid mean specific heat; divided by the tube-side fluid flow-rate times the tube-side fluid specific heat.

S is a measure of the temperature efficiency of the exchanger.

 

For a 1 shell: 2 tube pass exchanges, the correction factor is given by:

               

Ft  =  .                       √(R2 + 1)  ln [(1 – S)/(1 – RS)]                      .      (eq  - 1.13)

         (R – 1) ln [(2 – S (R + 1 - √(R2 + 1))/ (2 – S (R + 1 - √(R2 + 1))]

 

The derivation of equation 1.9 is for a 1 shell : 2 tube pass exchanger can be used for any exchanger with an even number of tube passes. Plots of the same can be seen in the books.

Page: 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20

Introduction | Combined heat transfer process | Heat transfer in cooling tower | Variables affecting performance of CT heat transfer | Heat transfer within cooling system (heat exchanger) | Types of heat exchanger | Basic design procedure and theory | Designing a test heat exchanger | Log Mean Temperature difference | L.M.T.D. Correction factors | Overall heat transfer coefficient | Elaborated method for calculating U values | Effect of scale formation | Condensation of steam | Condenser, where the hot fluid temperature varies | Significance of pressure | Significance of flow rate | Methods of checking steam condenser performance | Common conversion factors
 

 
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