Thermal Conductivity

List of relevant formulas below for:

  • Variables : Thermal Conductivity

Heat Transfer Coefficient for Natural Convection on a Vertical Wall

 , where:

h = Heat Transfer Coefficient (W/(m2*K))

k = Thermal Conductiviy (W/(m*K))

L = Characteristic Length (m)

Ra = Rayleigh Number

Pr = Prandtl Number

Planck's Law

 , where:

I = Specific Radiative Intensity ((W*s)/(m2*sr))

h = Planck Constant (J*s)

 = Frequency (Hz)

c = Speed of Light (m/s)

e = Euler's Number

k = Thermal Conductivity (W/(m*K))

T = Temperature (K)

Biot Number

 , where:

Bi = Biot Number

h = Heat Transfer Coefficienct (W/(m2*K))

L = Characteristic Length (m)

k = Thermal Conductivity (W/(m*K))

Thermal Effusivity

 , where:

e = Thermal Effusivity (J/(K*s.5*m2))

k = Thermal Conductivity (W/(m*K))

 = Density (kg/m3)

cp = Specific Heat Capacity (J/(kg*K))

Nusselt Number

 , where:

Nu = Nusselt Number

h = Heat Transfer Coefficient (W/(m2*K))

L = Characteristic Length (m)

k = Thermal Conductivity of Fluid (W/(m*K))

Fourier's Law

 , where:

qx = Heat Flux (W/m2)

k = Thermal Conductivity (W/(m*K))

T = Temperature (K)

x = Distance in direction of qx (m)

Fin Efficiency Equation

The efficiency of a fin, which should not be confused with the fin effectiveness, is defined and can be graphed as:

 , where:

 = Fin Efficiency (%)

hf = Convection Coefficient of Fin (W/(m2*K))

k = Thermal Conductivity of Fin (W/(m*K))

tf = Thickness of Fin (m)

Thermal Conductivity

 , where:

k = Thermal Conductivity (W/(m*K))

Q = Heat Energy Transferred (J)

t = Time during which Q is transferred (s)

x = Distance from location of heat transfer (m)

A = Cross-sectional area (m2)

T = Change in temperature at point x distance away (K)

Thermal Inertia

 , where:

I = Thermal Inertia (J/(m2*K*s1/2)

k = Thermal Conductivity (W/(m*K))

 = Density (kg/m3)

c = Specific Heat Capacity (J/(kg*K))

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