This page calculates the isothermal (constant temperature) embedded rectangular volume temperature (Tb) and the shape factor (sf) of a rectangular volume embedded in a semi-infinite medium having isothermal surface.

Define the rectangular volume's width, length, height, depth, and the heat flow, as well as the conductivity and the isothermal temperature applied to the medium surrounding the rectangular box. This page will calculate the rectangular box temperature and the corresponding shape factor.

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Embedded rectangular box and Flow Conditions

Description Symbol Value Units
Width W Meters
Length L Meters
Height H Meters
Depth d Meters
Heat Flow q W

Conducting Medium's Properties (Default is for Epoxy [high fill], Units in SI)

Description Symbol Value Units
Conductivity k W/(m-oC)
Isothermal Temperature Ti oC

Results for Isothermal Embedded rectangular box

Description Symbol Value Units
Conduction Shape Factor = 1.685*L*(log(1+d/W))-0.59*(d/H)-0.078 sf None
Embedded rectangular box Temperature = q/(k*sf)+Ti Tb oC