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Hot water at 95 deg * C is used in a plate heat exchanger for heating 2kg * s ^ - 1 fruit juice from 45 deg * C to 75 deg * C Specific heat capacity of fruit juice is 3.7 kJkgK¹. Final temperature of the hot water is 70 deg * C Overall heat transfer coefficient is 1122w * m ^ - 2 * K ^ - 1 Heat transfer area is 12.75m ^ 2 What will be the log mean temperature correction factor?
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Hot water at 95 deg * C is used in a plate heat exchanger for heating ...
Calculating Log Mean Temperature Correction Factor
1. Step 1: Calculate the hot water outlet temperature
- Hot water inlet temperature (Ti) = 95°C
- Fruit juice inlet temperature (To) = 45°C
- Fruit juice outlet temperature (T1) = 75°C
- Hot water outlet temperature (To') = 70°C
2. Step 2: Calculate the log mean temperature difference (ΔTlm)
- ΔT1 = To' - Ti = 70 - 95 = -25°C
- ΔT2 = T1 - To = 75 - 45 = 30°C
- ΔTlm = (ΔT2 - ΔT1) / ln(ΔT2 / ΔT1)
3. Step 3: Calculate the correction factor (F)
- F = (ΔTlm / ΔT1) = 1 / (1 - (ΔT2 / ΔT1) * ln(ΔT2 / ΔT1))
4. Step 4: Substitute the values into the formula
- ΔTlm = (30 - (-25)) / ln(30 / 25)
- F = 1 / (1 - (30 / 25) * ln(30 / 25))
5. Step 5: Calculate the final value of F
- Calculate the natural logarithm and substitute the values into the formula to find the final value of the log mean temperature correction factor.
By following these steps, you can accurately calculate the log mean temperature correction factor for the given plate heat exchanger system.
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Hot water at 95 deg * C is used in a plate heat exchanger for heating 2kg * s ^ - 1 fruit juice from 45 deg * C to 75 deg * C Specific heat capacity of fruit juice is 3.7 kJkgK¹. Final temperature of the hot water is 70 deg * C Overall heat transfer coefficient is 1122w * m ^ - 2 * K ^ - 1 Heat transfer area is 12.75m ^ 2 What will be the log mean temperature correction factor?
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Hot water at 95 deg * C is used in a plate heat exchanger for heating 2kg * s ^ - 1 fruit juice from 45 deg * C to 75 deg * C Specific heat capacity of fruit juice is 3.7 kJkgK¹. Final temperature of the hot water is 70 deg * C Overall heat transfer coefficient is 1122w * m ^ - 2 * K ^ - 1 Heat transfer area is 12.75m ^ 2 What will be the log mean temperature correction factor? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Hot water at 95 deg * C is used in a plate heat exchanger for heating 2kg * s ^ - 1 fruit juice from 45 deg * C to 75 deg * C Specific heat capacity of fruit juice is 3.7 kJkgK¹. Final temperature of the hot water is 70 deg * C Overall heat transfer coefficient is 1122w * m ^ - 2 * K ^ - 1 Heat transfer area is 12.75m ^ 2 What will be the log mean temperature correction factor? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hot water at 95 deg * C is used in a plate heat exchanger for heating 2kg * s ^ - 1 fruit juice from 45 deg * C to 75 deg * C Specific heat capacity of fruit juice is 3.7 kJkgK¹. Final temperature of the hot water is 70 deg * C Overall heat transfer coefficient is 1122w * m ^ - 2 * K ^ - 1 Heat transfer area is 12.75m ^ 2 What will be the log mean temperature correction factor?.
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