17.29 An engineered tissue system consists of a slice of cell mass immobilized on a scaffold measuring 5 cm in length and 0.5 cm in thickness. The top face of the tissue scaffold is exposed to water, dissolved oxygen, and organic nutrients maintained at 30 C. The bottom face of the tissue is thermally insulated. At present, the specific oxygen consumption of the tissue mass is 0.5 mmol O₂/cm³ cells-hr, and from respiration energetics, the energy released by respiration is 468 J/mmol O₂ consumed. We are interested in knowing the temperature at the bottom face of the tissue next to the insulated boundary. If this temperature remains below 37 C, the tissue will not die. The thermal conductivity of the tissue scaffold is k = 0.6 W/m. K. a. Using the information given predict the temperature profile within the tissue slab the slab. b. c. What is the heat generated per unit volume of tissue? Estimate the temperature at x = L (the insulated boundary).

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
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17.29 An engineered tissue system consists of a slice of cell
mass immobilized on a scaffold measuring 5 cm in length and
0.5 cm in thickness. The top face of the tissue scaffold is exposed
to water, dissolved oxygen, and organic nutrients maintained at
30 C. The bottom face of the tissue is thermally insulated. At
present, the specific oxygen consumption of the tissue mass is
0.5 mmol O₂/cm³cells-hr, and from respiration energetics, the
energy released by respiration is 468 J/mmol O₂ consumed. We
are interested in knowing the temperature at the bottom face of
the tissue next to the insulated boundary. If this temperature
remains below 37 C, the tissue will not die. The thermal
conductivity of the tissue scaffold is k = 0.6 W/m. K.
a.
Using the information given predict the temperature profile
within the tissue slab the slab.
b.
C.
What is the heat generated per unit volume of tissue?
Estimate the temperature at x =L (the insulated
boundary).
Transcribed Image Text:17.29 An engineered tissue system consists of a slice of cell mass immobilized on a scaffold measuring 5 cm in length and 0.5 cm in thickness. The top face of the tissue scaffold is exposed to water, dissolved oxygen, and organic nutrients maintained at 30 C. The bottom face of the tissue is thermally insulated. At present, the specific oxygen consumption of the tissue mass is 0.5 mmol O₂/cm³cells-hr, and from respiration energetics, the energy released by respiration is 468 J/mmol O₂ consumed. We are interested in knowing the temperature at the bottom face of the tissue next to the insulated boundary. If this temperature remains below 37 C, the tissue will not die. The thermal conductivity of the tissue scaffold is k = 0.6 W/m. K. a. Using the information given predict the temperature profile within the tissue slab the slab. b. C. What is the heat generated per unit volume of tissue? Estimate the temperature at x =L (the insulated boundary).
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