Question

A metallic airfoil of elliptical cross section has a mass of 50 kg, surface area of 12m2,12 m^2, and a specific heat of 0.50kJ/kgK.0.50 kJ/kg \cdot K. The airfoil is subjected to air flow at 1 atm, 25C,25^\circ C, and 5 m/s along its 3-m-long side. The average temperature of the airfoil is observed to drop from 160C160^\circ C to 150C150^\circ C within 2 min of cooling. Assuming the surface temperature of the airfoil to be equal to its average temperature and using momentum-heat transfer analogy, determine the average friction coefficient of the airfoil surface.

Solution

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Known:\textbf{Known:}

  • m=85kgm = 85 \hspace{1mm} \text{kg}
  • A=12m2A= 12\hspace{1mm} \text{m}^2
  • Cp=0,5kJkgKC_p= 0,5 \hspace{1mm} \frac{\text{kJ}}{\text{kgK}}
  • V=5msV= 5 \hspace{1mm} \frac{\text{m}}{\text{s}}
  • L=3mL= 3\hspace{1mm} \text{m}
  • T1=160°CT_1 = 160 \hspace{1mm} \text{\textdegree}{\text{C}}
  • T2=150°CT_2 = 150 \hspace{1mm} \text{\textdegree}{\text{C}}
  • t=2min=120st= 2 \hspace{1mm} \text{min} = 120 \hspace{1mm} \text{s}

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