Answered: lumped parameter model

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Question

A die cast component has a mass of 1.2 kg and density 7150 kg/m322 with surface area of 0.075 m. The thermal conductivity of the material is 95 W/mK and the specific heat is 385 J/kg K. It comes out of the machine at 345°C and is exposed to air at 20°C with a convective heat transfer coefficient of 56.8 W/mK. Determine (i) The temperature of the part after 5 minutes (ii) The time required to reach 50°C (iii) The time constant (iv) The value of convective heat transfer coefficient up to which the lumped parameter model can be used (v) The volume/area ratio up to which the lumped parameter model can be used.

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