application-note · English
Partial Differential Equations for Heat Conduction Analysis of Frozen Layer Shifting
Technical Information Series No. 11 from Hitachi demonstrates how the heat-conduction partial differential equation governing the shifting of a frozen soil layer is converted to a set of finite-difference equations and solved on a Hitachi analog-hybrid computer. The document derives boundary conditions for a one-dimensional frozen/unfrozen soil column, scales the equations to machine variables, and presents temperature-transition curves (time and depth as parameters) obtained from the simulation. A full block diagram for the HITAC 505 High-Precision Analog Computer implementation is included, showing 7 integrators, 19 summing amplifiers, 12 sign-changers, 7 potentiometers, 2 dead-zone units, and 15 diodes.
heat conductionpartial differential equationsfinite difference methodsfrozen layer / permafrost