C1, C2, C3, C4

Unknown constants used for finding expression for temperature in an element

E

Rate of sweat evaporation in gm/cm2/min

e

eth element

h

Heat transfer coefficient due to conduction and convection in Cal/cm2/min/˚C

K1, K2, K3

Thermal conductivity of subcutaneous tissues, dermis and epidermis respectively in Cal/cm/min/˚C

L

Latent heat of vaporization in Cal/gm

M1, M2, M3

Rate of heat transfer due to blood mass flow per unit volume per unit difference in temperature in subcutaneous tissues, dermis and epidermis respectively in Cal/cm3/min/˚C

N

Interpolation function

n

Normal to skin surface

R

Spatial coordinate originating from the centre of the limb in cm

r

Thickness of peripheral tissues in cm

Local radial coordinate in cm

r0, r6

Spatial coordinate of skin core and skin surface respectively starting from core in cm

S1, S2, S3

Metabolic heat generation rate in subcutaneous tissues, dermis and epidermis respectively in Cal/cm3/min

T

Unknown temperature of tissue in ˚C

Ta, Tb

Atmospheric temperature and arterial blood temperature in ˚C

T(e)

Temperature in eth element

Nodal temperature matrix of eth element

t

Time in min

Ω(e)

Domain of the eth element

α0(1), β0(1), γ0(1)

Unknown constants used to find linear expression for K, M and S respectively in dermis

χ(t), ϕ(t)

Time factor in M and S respectively in abnormal tissues

ρ

Density of tissue in gm/cm3

θ

Angular coordinate in radian