Determine the surface area of the heat exchanger

Assignment Help Mechanical Engineering

Reference no: EM132944234

Problem 1:

Water at 25 ? with a mass flow rate of 6 kg/s is available to cool hot oil from 80 ? to 20 ?. The oil mass flow rate is 2 kg/s. A shell-and-tube heat exchanger with one-shell pass and four tube-passes is proposed for this process.

Using uniform cp values of 2.5 kJ/(kg.?) and 4.2 kJ/(kg.?) for oil and water, respectively, and assuming an overall heat transfer coefficient of 260 W/ (m²?) for the heat exchanger:

a) determine the surface area of the heat exchanger
b) plot the heat exchanger surface area as a function of water mass flow rate, when the mass flow rates vary between 5 and 30 kg/s.

Problem 2:
A triangular straight fin of 0.1 m in length, 0.02 m thick at the base, and 0.2 m in depth is used to extend the surface of a wall at 200 ?. The wall and the fin are made of mild steel (k = 54 W/m?). Air at 10 ? (h = 200 W/m²?) flows over the surface of the fin.
Evaluate the temperature at 0.05 m from the base and at the tip of the fin.
Determine the rate of heat removal from the fin and the fin efficiency.
[Use MS-Excel to solve the problem and plot temperature profile].

Problem 3:
The temperature distribution across a large concrete slab 50 cm thick, heated from one side, as measured by thermocouples approximates to the relation: T(x) = 60 - 50x + 12x² + 20x³ - 15x⁴, where T is in deg.C and x is in metres. Considering an area of 5 m², compute:
a) heat entering and leaving the slab in unit time
b) heat stored in unit time

For concrete take k = 1.2 W/mK
First solve this problem analytically, then use MS Excel to solve and plot temperature distribution. Compare both analytical and computational methods and report any differences in results.

Problem 4:
A process fluid having a specific heat of 3500 J/kgK and flowing at 2 kg/s is to be cooled from 80°C to 50°C with chilled water, which is supplied at a temperature of 15°C and a flow rate of 2.5 kg/s. Assuming an overall heat transfer coefficient of 2000 W/m² K, calculate the required heat transfer areas for the parallel flow heat exchanger configuration.
(Hint: Use IHT software & Bergman Book)

Reference no: EM132944234

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