Question

7. (15) A tank in an industrial chiller system has a diameter of 10 ft and contains an ethylene glycol (incompressible with S.G. = 0.823). The initial liquid level is 6 ft above the floor of the tank. Two pumps pull refrigerant from the tank for chillers in different areas of a plant. A Venturi flowmeter after one pump (line 2) indicates a volumetric flow rate of 1.4 $ft^3/s$. A mass flowmeter after the second pump (line 3) indicates a mass flow rate of 2.58 slugs/s. Through the industrial process, the two supply lines are combined and return to the tank through one return pipe. An ultrasonic flowmeter on the return (inlet) line to the tank indicates an average fluid velocity of 15.23 ft/s in a 6 in. diameter pipe. (Figure and part (c) on Page 2!) (a) What are the volumetric flowrates (in $ft^3/s$) at stations 1 and 3? (b) What is the instantaneous rate of change the level of ethylene glycol in inches/hr? (c) Is there a leak in one of the chillers, or is refrigerant being added in another part of the piping system? $v_1 = 15.23 ft/s$ $D_1 = 6 in.$ $v_2 = 1.4 ft^3/s$ $m_3 = 2.58 slugs/s$

          7. (15) A tank in an industrial chiller system has a diameter of 10 ft and contains an ethylene glycol (incompressible with S.G. = 0.823). The initial liquid level is 6 ft above the floor of the tank. Two pumps pull refrigerant from the tank for chillers in different areas of a plant. A Venturi flowmeter after one pump (line 2) indicates a volumetric flow rate of 1.4 $ft^3/s$. A mass flowmeter after the second pump (line 3) indicates a mass flow rate of 2.58 slugs/s. Through the industrial process, the two supply lines are combined and return to the tank through one return pipe. An ultrasonic flowmeter on the return (inlet) line to the tank indicates an average fluid velocity of 15.23 ft/s in a 6 in. diameter pipe. (Figure and part (c) on Page 2!)

(a) What are the volumetric flowrates (in $ft^3/s$) at stations 1 and 3?
(b) What is the instantaneous rate of change the level of ethylene glycol in inches/hr?
(c) Is there a leak in one of the chillers, or is refrigerant being added in another part of the piping system?

$v_1 = 15.23 ft/s$
$D_1 = 6 in.$

$v_2 = 1.4 ft^3/s$

$m_3 = 2.58 slugs/s$

7 15 a tank in an industrial chiller system has a diameter of 10 ft and contains an ethylene glycol incompressible with sg 0823 the initial liquid level is 6 ft above the floor of the tank t 47964

Added by Jonathan H.

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