A two-dimensional airfoil (object 1) is subject to air flow of upstream velocity 24 m/s. The upstream air pressure and temperature are 0.6 atm and 280 K, respectively. The characteristic length of object 1 is 29 mm and its surface temperature is uniform at 320 K. Now, a geometrically similar airfoil (object 2) with a different characteristic length 212 mm is placed in water flow. The upstream water temperature is 300 K and the surface temperature of object 2 is uniformly at 310 K. What is the upstream water velocity in m/s for object 2 such that the boundary layer analogy exists between the two cases? Note that liquid water properties can be approximated as those for a saturated liquid at the same temperature. Object 1 Ts1 Air Too1 V₁ L₁ Water Too2 V₂ Object 2 L₂ Ts2

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Chapter5: Analysis Of Convection Heat Transfer
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Problem 5.33P
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A two-dimensional airfoil (object 1) is subject to air flow of upstream velocity 24
m/s. The upstream air pressure and temperature are 0.6 atm and 280 K,
respectively. The characteristic length of object 1 is 29 mm and its surface
temperature is uniform at 320 K. Now, a geometrically similar airfoil (object 2)
with a different characteristic length 212 mm is placed in water flow. The
upstream water temperature is 300 K and the surface temperature of object 2 is
uniformly at 310 K. What is the upstream water velocity in m/s for object 2 such
that the boundary layer analogy exists between the two cases?
Note that liquid water properties can be approximated as those for a saturated
liquid at the same temperature.
Object 1
Ts1
Air
Too1
V₁
L₁
Water
Too2
V₂
Object 2
L₂
Ts2
Transcribed Image Text:A two-dimensional airfoil (object 1) is subject to air flow of upstream velocity 24 m/s. The upstream air pressure and temperature are 0.6 atm and 280 K, respectively. The characteristic length of object 1 is 29 mm and its surface temperature is uniform at 320 K. Now, a geometrically similar airfoil (object 2) with a different characteristic length 212 mm is placed in water flow. The upstream water temperature is 300 K and the surface temperature of object 2 is uniformly at 310 K. What is the upstream water velocity in m/s for object 2 such that the boundary layer analogy exists between the two cases? Note that liquid water properties can be approximated as those for a saturated liquid at the same temperature. Object 1 Ts1 Air Too1 V₁ L₁ Water Too2 V₂ Object 2 L₂ Ts2
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