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
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
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.33P
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