1D Heat Conduction through Biological Tissue

tissue variables

thermal conductivity K (watt/mm°C)

0.0001

surface area A (

2

mm

)

10

mass m (kg)

0.5

heat conduction attenuation α (/mm)

0.5

diffusivity constant κ 

2

mm

/s

0.001

specific heat c (J/kg°C)

3800

heat conduction wave β (/mm)

0.16

wave number k

0

coefficients

c

1

25

c

2

12.5

c

3

12.5

c

4

-0.5

time (s)

0

attenuation

parabolic

imaginary

sinusoidal

This Demonstration is about time-varying heat conduction in biological tissue. The main objective of a conduction analysis is to determine temperature distribution in a tissue medium, that is, to know the temperature in the tissue as a function of space at the steady state and as a function of time during the transient state. Once this temperature distribution is known, the heat flux at any point within or on the surface the tissue may be computed from Fourier's law. A knowledge of the temperature distribution within a tissue can be used in medical applications via a determination of the thermal stresses and distortion. The optimization of the thickness of a tissue can be studied by knowing the temperature distribution and the appropriate heat transfer characteristics, which indicate the appropriate temperature distribution at every point within the tissue categorized into the quasi-conductor medium at

T=25°C

.