(iv) Newton's law of cooling states that the rate at which temperature T of a body falls is proportional to the difference in temperature between the body and its surroundings. If t is the time and the surroundings are at 0°C then the differential equation representing the above information is: dT -kT dt Prove, using integration methods, that the general solution to this differential equation is: T = Ae t where A and k are constant values If the temperature of an aluminium ingot after it has been cast falls from 900°C to 700°C in 30 seconds, using the differential equation above find the equation for T at any time(t)

(iv) Newton's law of cooling states that the rate at which temperature T of a body falls is proportional to the difference in temperature between the body and its surroundings. If t is the time and the surroundings are at 0°C then the differential equation representing the above information is: dT -kT dt Prove, using integration methods, that the general solution to this differential equation is: T = Ae t where A and k are constant values If the temperature of an aluminium ingot after it has been cast falls from 900°C to 700°C in 30 seconds, using the differential equation above find the equation for T at any time(t)

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

Problem 1.77P: 1.77 Explain each in your own words. (a) What is the mode of heat transfer through a large steel...

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