A new concrete driveway has been cured and is subsequently beingcooled by spraying 20C water on the surface. The concrete is 10 cmthick and initially is at a uniform temperature of 38C. Theconvection coefficient between the water and the concrete isestimated to be 80W/m²-K. Assume that the bottom edge of theconcrete is insulated. Determine the time required to cool theconcrete to 30C at a location 5 cm below the surface. The thermaldiffusivity of concrete is 6.917*10^-7 m²/s and the thermalconductivity of concrete is 1.4 W/m-K.

Thermal diffusivity: In heat transfer, thermal diffusivity is defined as the thermal conductivity…

Answered: A new concrete driveway has been cured…

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 new concrete driveway has been cured and is subsequently being
cooled by spraying 20C water on the surface. The concrete is 10 cm
thick and initially is at a uniform temperature of 38C. The
convection coefficient between the water and the concrete is
estimated to be 80W/m²-K. Assume that the bottom edge of the
concrete is insulated. Determine the time required to cool the
concrete to 30C at a location 5 cm below the surface. The thermal
diffusivity of concrete is 6.917*10^-7 m²/s and the thermal
conductivity of concrete is 1.4 W/m-K.

Expert Solution

Step 1

Thermal diffusivity:

In heat transfer, thermal diffusivity is defined as the thermal conductivity divided by density and specific heat capacity at constant pressure.
rate of transfer of heat of material from the hot end to the cold end. It has the
SI-derived unit of m2/s.

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