2. onsider a metal rod with the equation of state L– Lo= Lo YA +a(T – To) - Here Lo, Y, A, To, and a are constants, T is the temperature, L is the length, and F is the tension. Work is given by dW = -F dL. a) Using the first law and the expression for dU in terms of it partial derivatives with respect to T and L, show that for this system ), - +(#), (#), -#().-) ƏT ƏT T b) By differentiating the first of these equations with respect to L and the second with respect to T show that = F -T ƏT Te
2. onsider a metal rod with the equation of state L– Lo= Lo YA +a(T – To) - Here Lo, Y, A, To, and a are constants, T is the temperature, L is the length, and F is the tension. Work is given by dW = -F dL. a) Using the first law and the expression for dU in terms of it partial derivatives with respect to T and L, show that for this system ), - +(#), (#), -#().-) ƏT ƏT T b) By differentiating the first of these equations with respect to L and the second with respect to T show that = F -T ƏT Te
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.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.39P: The tip of a soldering iron consists of a 0.6-cm- diameter copper rod, 7.6 cm long. If the tip must...
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