Thermodynamics HW Solutions 525

Thermodynamics HW Solutions 525 - Chapter 6 Fundamentals of...

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Chapter 6 Fundamentals of Convection μ + = L y y kL T y T 2 ) ( 2 2 1 V The temperature gradient is determined by differentiating T ( y ) with respect to y , μ = L y kL dy dT 1 2 V The location of maximum temperature is determined by setting dT / dy = 0 and solving for y , L y L y kL dy dT = ⎯→ = μ = 0 1 2 V This result is also known from the second boundary condition. Therefore, maximum temperature will occur at the shaft surface, for y = L . The velocity and the surface area are m/s 425 . 9 s 60 min 1 ) rev/min 3000 )( m 0.06 ( = π = π = N D V 2 m 0377 . 0 ) m 20 . 0 )( m 0.06 ( = π = π = bearing DL A The maximum temperature is C 63.1 ° = ° + ° = μ + = μ + =
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This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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