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Problem 1 A concrete wall (plane wall) of 20-cm-thick, is subjected to convection on both sides. In the inner surface, the convection heat transfer coefficient is 5 W/m2 . °C and the temperature is measured to be 27 °C. On the outer surface, the convection heat transfer coefficient is 12 W/m2 . °C and the temperature is measured to be 8 °C. Take a value of k = 0.77 W/m. °C for concrete. Assuming no heat generation and constant thermal conductivity: a) Obtain a general relation for the variation of temperature in the concrete wall (TIP: evaluate known values instead of using algebra to simplify the mathematical analysis) dT (0) h, [T1 - T(0)] = -k- dx For x = 0 dT (L) For x = L -k- = h2[T(L) – To2] dx b) Obtain the values of temperature: i. At the inner surface

Problem 1 A concrete wall (plane wall) of 20-cm-thick, is subjected to convection on both sides. In the inner surface, the convection heat transfer coefficient is 5 W/m2 . °C and the temperature is measured to be 27 °C. On the outer surface, the convection heat transfer coefficient is 12 W/m2 . °C and the temperature is measured to be 8 °C. Take a value of k = 0.77 W/m. °C for concrete. Assuming no heat generation and constant thermal conductivity: a) Obtain a general relation for the variation of temperature in the concrete wall (TIP: evaluate known values instead of using algebra to simplify the mathematical analysis) dT (0) h, [T1 - T(0)] = -k- dx For x = 0 dT (L) For x = L -k- = h2[T(L) – To2] dx b) Obtain the values of temperature: i. At the inner surface

Introduction to Chemical Engineering Thermodynamics
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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Problem 1 A concrete wall (plane wall) of 20-cm-thick, is subjected to convection on both sides. In the inner surface, the convection heat transfer coefficient is 5 W/m2 . °C and the temperature is measured to be 27 °C. On the outer surface, the convection heat transfer coefficient is 12 W/m? . °C and the temperature is measured to be 8 °C. Take a value of k = 0.77 W/m·°C for concrete. Assuming no heat generation and constant thermal conductivity: a) Obtain a general relation for the variation of temperature in the concrete wall (TIP: evaluate known values instead of using algebra to simplify the mathematical analysis) ат (0) h[T.01 - T(0)] = -k- dT (L) = h2[T(L) – To2] - k- dx For x = 0 dx For x = L b) Obtain the values of temperature: i. At the inner surface ii. At the outer surface
Transcribed Image Text:Problem 1 A concrete wall (plane wall) of 20-cm-thick, is subjected to convection on both sides. In the inner surface, the convection heat transfer coefficient is 5 W/m2 . °C and the temperature is measured to be 27 °C. On the outer surface, the convection heat transfer coefficient is 12 W/m? . °C and the temperature is measured to be 8 °C. Take a value of k = 0.77 W/m·°C for concrete. Assuming no heat generation and constant thermal conductivity: a) Obtain a general relation for the variation of temperature in the concrete wall (TIP: evaluate known values instead of using algebra to simplify the mathematical analysis) ат (0) h[T.01 - T(0)] = -k- dT (L) = h2[T(L) – To2] - k- dx For x = 0 dx For x = L b) Obtain the values of temperature: i. At the inner surface ii. At the outer surface
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