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 T = 20°C. Th Chip, q. T., P. Cp The time is i 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 q = 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 Tf. 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 T, is i S. °C.
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 T = 20°C. Th Chip, q. T., P. Cp The time is i 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 q = 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 Tf. 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 T, is i S. °C.
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.
Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.26P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5196ce47-c587-43a0-995e-b2cdf9e7204d%2F964d4905-94cb-46a5-9eb1-a9c9505cc182%2Funw9mxoi_processed.png&w=3840&q=75)
Transcribed Image Text: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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