6.3. A solid steel sphere (AISI 1010), 300 mm in diameter, is coated with a dielectric materiallayer of thickness 2 mm and thermal conductivity 0.04W/m ⚫ K. The coated sphere is initially ata uniform temperature of 500°C and is suddenly quenched in a large oil bath for which To=100°C and h 3300 W/m² K. Estimate the time required for the coated sphere temperature toreach 140°C. Hint: Neglect the effect of energy storage in the dielectric material, since itsthermal capacitance (pcV) is small compared to that of the steel sphere.

Analyzing the Problem and AssumptionsWe are tasked with estimating the time required for a coated…

Answered: 6.3. A solid steel sphere (AISI 1010),…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

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Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.26P

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5.10 A steel sphere (AISI 1010), 100 mm in diameter, is coated with a dielectric material layer of thickness 2 mm and thermal conductivity 0.04 W/mK. The coated sphere is initially at a uniform temperature of 500°C and is suddenly quenched in a large oil bath for which T = 100°C and h = 3000 W/m² K. Estimate the time required for the coated sphere temperature to reach 150°C. Hint: Neglect the effect of energy storage in the dielectric material, since its thermal capacitance (pcV) is small compared to that of the steel sphere.
A steel sphere (AISI 1010), 100 mm in diameter, is coated with a dielectric material layer of thickness 1.75 mm and thermal conductivity 0.04 W/m.K. The coated sphere is initially at a uniform temperature of 500°C and is suddenly quenched in a large oil bath for which T = 100°C and h = 3000 W/m².K. Estimate the time, in h, required for the coated sphere temperature to reach 150°C. Hint: Neglect the effect of energy storage in the dielectric material, since its thermal capacitance (pc)is small compared to that of the steel sphere. t = h
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A polished stainless steel sphere (r= 5cm) is at a temperature of 540 C. The ambier air is at 20 C. What is the instantaneous heat transfer rate?
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A chip that is of length L = 5.5 mm on a side and thickness t = 2.0 mm is encased in a ceramic substrate, and its exposed surface is convectively cooled by a dielectric liquid for which h = 150 W/m² K and To = 20°C. . Th Chip, q, T₁, P, Cp The time is Substrate In the off-mode the chip is in thermal equilibrium with the coolant (T; = T). When the chip is energized, however, its temperature increases until a new steady state is established. For purposes of analysis, the energized chip is characterized by uniform volumetric heating with a = 9 x 106 W/m³. Assuming an infinite contact resistance between the chip and substrate and negligible conduction resistance within the chip, determine the steady-state chip temperature Tƒ. Following activation of the chip, how long does it take to come within 1°C of this temperature? The chip density and specific heat are p = 2000 kg/m³ and c = 700 J/kg-K, respectively. The steady-state chip temperature Tf is i S. °C.
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