Question

A radiator consists of 30 smooth tubes arranged in 1 row. At the inlet, there is a header that distributes the coolant equally between the 30 tubes. Similarly, there is an outlet header that collects the coolant. The tubes are made of aluminum (k = 237 W/(mÂ·K)) with an internal diameter of 7 mm and a wall thickness of 2 mm. The coolant is a 50/50 mixture (by volume) of ethylene glycol and water (Cp = 3.5 kJ/(kgÂ·K); Âµ = 0.00158 (NÂ·s)/m^2; k = 0.41 W/(mÂ·K); Pr = 13; and specific gravity of 1.038). Under design conditions, the coolant enters the radiator at 200Â°F and leaves at 190Â°F with a volumetric flow rate of 4500 l/hr. Air (Cp = 1.005 kJ/(kgÂ·K); Âµ = 1.87 x 10^-5 (NÂ·s)/m^2; k = 0.02675 W/(mÂ·K); Pr = 0.703; and density of 1.146 kg/m^3) enters the radiator at 35Â°C with a volumetric flow of 3000 ft^3/min in a single pass, cross-flow arrangement (coolant flow is mixed; airflow is unmixed). The air passes over the tubes with a velocity of 17 m/s. Determine the required length of the tubes to meet the design condition.

Name: a radiator consists of 30 smooth tubes arranged in 1 row at the inlet there is a header that distributes the coolant equally between the 30 tubes similarly there is an outlet header that col 96783
Uploaded: 2023-07-24T08:23:38-08:00
Duration: 21 s
Channel: Numerade
Description: a radiator consists of 30 smooth tubes arranged in 1 row at the inlet there is a header that distributes the coolant equally between the 30 tubes similarly there is an outlet header that col 96783

          A radiator consists of 30 smooth tubes arranged in 1 row. At the inlet, there is a header that distributes the coolant equally between the 30 tubes. Similarly, there is an outlet header that collects the coolant. The tubes are made of aluminum (k = 237 W/(mÂ·K)) with an internal diameter of 7 mm and a wall thickness of 2 mm.

The coolant is a 50/50 mixture (by volume) of ethylene glycol and water (Cp = 3.5 kJ/(kgÂ·K); Âµ = 0.00158 (NÂ·s)/m^2; k = 0.41 W/(mÂ·K); Pr = 13; and specific gravity of 1.038). Under design conditions, the coolant enters the radiator at 200Â°F and leaves at 190Â°F with a volumetric flow rate of 4500 l/hr.

Air (Cp = 1.005 kJ/(kgÂ·K); Âµ = 1.87 x 10^-5 (NÂ·s)/m^2; k = 0.02675 W/(mÂ·K); Pr = 0.703; and density of 1.146 kg/m^3) enters the radiator at 35Â°C with a volumetric flow of 3000 ft^3/min in a single pass, cross-flow arrangement (coolant flow is mixed; airflow is unmixed). The air passes over the tubes with a velocity of 17 m/s.

Determine the required length of the tubes to meet the design condition.

Added by Dawn S.

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