The SOLFIES company is dedicated to welding any type of metal, but especially aluminum parts. If the aluminum pieces that are welded come out at 1200°C and to speed up the cooling they are immersed in a tank full of water with a temperature of 0°C. In this case, the heat is transferred from the welded part to the water, causing the temperature to begin to decrease. Taking into account the temperature data of both the piece and the water, in addition to the value of the constant K= 0.02, it is necessary to know how long it takes for the piece to reach a temperature of 20°C in order to handle it and deliver it to the customer. MATH MODEL T'+KT=Tm Solve this differential equation with Euler's numerical method.

The SOLFIES company is dedicated to welding any type of metal, but especially aluminum parts. If the aluminum pieces that are welded come out at 1200°C and to speed up the cooling they are immersed in a tank full of water with a temperature of 0°C. In this case, the heat is transferred from the welded part to the water, causing the temperature to begin to decrease. Taking into account the temperature data of both the piece and the water, in addition to the value of the constant K= 0.02, it is necessary to know how long it takes for the piece to reach a temperature of 20°C in order to handle it and deliver it to the customer. MATH MODEL T'+KT=Tm Solve this differential equation with Euler's numerical method.

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.

Chapter9: Heat Transfer With Phase Change

Section: Chapter Questions

Problem 9.35P

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