Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN: 9781305387102
Author: Kreith, Frank; Manglik, Raj M.
Publisher: Cengage Learning
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Chapter 3, Problem 3.13P
To determine
Temperatures of the copper wire after 2 s, 10 s, 1 min
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A cylindrical vessel (D=98,4 cm) is filled with water (ρ=1000 kg/m3, c=4.187 kJ/kg.K) to a depth of 113,64 cm. The initial temperature of the water is 15°C. Determine the time [min] required to increase the water temperature to 50°C when it is immersed into tank, filled with oil at 105°C. (NOTE: The overall heat transfer coefficient between the oil and the water is 284 W/m2.K. The surface area is 4.2 m2.)
The time evolution of the temperature of an object follows the Newton's cooling laws
dT
dx
=
-k(T - Ts),
where the term k = 2.2 (1/s) is the heat transfer constant, and Tg = 25.6° C is the ambient temperature.
The initial temperature of the object at time t = = 0 is T(t = 0) = 200°C.
°C
Use the Euler's method, and a time step of h=0.2s, calculate:
When t = = 0.2s, T =
°C
When t 1s, T =
For a water flow over a steel surface, the temperature of water at a specific location was found to change
with the vertical distance from the surface (y) up to a distance of 0.015 m as
T(y) = 60 + 20y + tan(y),
where temperature is in °C and y is in cm. The surface temperature and ambient temperature was
measured as 60°C and 105°C, respectively. The thermal conductivity of steel and water are, respectively,
48 W/m-K and 0.6 W/m-K. What is the local convection coefficient at this location?
Chapter 3 Solutions
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Ch. 3 - Consider a flat plate or a plane wall with a...Ch. 3 - 3.2 High-strength steel is required for use in...Ch. 3 - Prob. 3.3PCh. 3 - 3.5 In a ball-bearing production facility, steel...Ch. 3 - A 0.6-cm diameter mild steel rod at 38C is...Ch. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - 3.9 The heat transfer coefficients for the flow of...Ch. 3 - 3.10 A spherical shell satellite (3-m-OD,...Ch. 3 - Prob. 3.11P
Ch. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - 3.14 A thin-wall cylindrical vessel (1 m in...Ch. 3 - A thin-wall jacketed tank heated by condensing...Ch. 3 - 3.16 A large, 2.54-cm.-thick copper plate is...Ch. 3 - 3.17 A 1.4-kg aluminum household iron has a 500-W...Ch. 3 -
3.28 A long wooden rod at with a 2.5-cm-OD is...Ch. 3 - A mild-steel cylindrical billet 25 cm in diameter...Ch. 3 - Prob. 3.37PCh. 3 -
3.38 An egg, which for the purposes of this...
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