2 A temperature probe is installed in the upper mixed layer of a fresh water lake, and reads initially 17°C. It is known that the temperature of the lower layer remains at 8°C throughout the year. A wind anemometer at the same location indicates that a wind begins blowing at a velocity of 8 m/s. After 6 hrs, it is observed that the temperature of the mixed layer has been reduced to 14 C. What is the depth of the mixed layer after 9 hrs? Assume a C₂-0.0015, Pair-1.2 kg/m³, a surface drift velocity, u=0.03 Uref, and a mixing efficiency of 5%, and that the mixed layer is completely mixed. Uref E T=17°C initially T= 8°C

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Chapter11: Energy In Thermal Processes
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2 A temperature probe is installed in the upper mixed layer of a fresh water lake,
and reads initially 17°C. It is known that the temperature of the lower layer remains
at 8°C throughout the year. A wind anemometer at the same location indicates that
a wind begins blowing at a velocity of 8 m/s. After 6 hrs, it is observed that the
temperature of the mixed layer has been reduced to 14 C. What is the depth of
the mixed layer after 9 hrs? Assume a C,=0.0015, Puir=1.2 kg/m³, a surface drift
velocity, u=0.03 Uref, and a mixing efficiency of 5%, and that the mixed layer is
completely mixed.
Uref
T=19°C initialy
T=8°C
Transcribed Image Text:2 A temperature probe is installed in the upper mixed layer of a fresh water lake, and reads initially 17°C. It is known that the temperature of the lower layer remains at 8°C throughout the year. A wind anemometer at the same location indicates that a wind begins blowing at a velocity of 8 m/s. After 6 hrs, it is observed that the temperature of the mixed layer has been reduced to 14 C. What is the depth of the mixed layer after 9 hrs? Assume a C,=0.0015, Puir=1.2 kg/m³, a surface drift velocity, u=0.03 Uref, and a mixing efficiency of 5%, and that the mixed layer is completely mixed. Uref T=19°C initialy T=8°C
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