A large concrete slab 1 m thick has one dimensional temperature distribution: T = 4 – 10x + 20x2 + 10x³ Where T is temperature and x is distance from one face towards other face of wall. If the slab material has thermal diffusivity of 2 × 10-3 m²/hr, what is the rate of change of temperature at the other face of the wall?

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.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
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A large concrete slab 1 m thick has one dimensional temperature
distribution:
T = 4 – 10x + 20x² + 10x³
Where T is temperature and x is distance from one face towards other
face of wall. If the slab material has thermal diffusivity of 2 × 10-3 m²/hr,
what is the rate of change of temperature at the other face of the wall?
Transcribed Image Text:A large concrete slab 1 m thick has one dimensional temperature distribution: T = 4 – 10x + 20x² + 10x³ Where T is temperature and x is distance from one face towards other face of wall. If the slab material has thermal diffusivity of 2 × 10-3 m²/hr, what is the rate of change of temperature at the other face of the wall?
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