A spherical, 3 mm cryogenic probe at temperature -30 C is embedded into skin at 37°C. Frozen tissue develops and the interface between the frozen and normal tissue is 0°c. If the thermal conductivity of frozen tissue is 1.5 Wim-K and heat transfer at the phase front is characterized by a convection coefficient of 50 W/m?-K, what is the thickness of the frozen layer?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Example – Book Problem 3.59
A spherical, 3 mm cryogenic probe at temperature -30 C is
embedded into skin at 37°C. Frozen tissue develops and
the interface between the frozen and normal tissue is 0°C.
If the thermal conductivity of frozen tissue is 1.5 W/m-K and
heat transfer at the phase front is characterized by a
convection coefficient of 50 W/m?-K, what is the thickness of
the frozen layer?
4= 0.0015 m
Probe
T8.1 30 °C
-T22=0°C
12
Normal tissue
Ten = 37 °C
h= 50 Wim2 -K
oond
Frozen tissue, k= 1.5 WimK
doonv
Transcribed Image Text:Example – Book Problem 3.59 A spherical, 3 mm cryogenic probe at temperature -30 C is embedded into skin at 37°C. Frozen tissue develops and the interface between the frozen and normal tissue is 0°C. If the thermal conductivity of frozen tissue is 1.5 W/m-K and heat transfer at the phase front is characterized by a convection coefficient of 50 W/m?-K, what is the thickness of the frozen layer? 4= 0.0015 m Probe T8.1 30 °C -T22=0°C 12 Normal tissue Ten = 37 °C h= 50 Wim2 -K oond Frozen tissue, k= 1.5 WimK doonv
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