Transient Heat Flux Calculation

Transient Heat Flux Calculation from Surface Temperature

qdot.m
Incorporates the effects of surface curvature and variable thermal properties of the substrate (which is assumed to be fused quartz). For more information on this routine, see the report, A Finite Difference Routine for the Solution of Transient One Dimensional Heat Conduction Problems with Curvature and Varying Thermal Properties
specht.m, conduct.m
Specific heat and conductivity of fused quartz as a function of temperature.
smooth.m
A little moving-average smoothing routine which averages results at each point over a maximum of 20 points forwards and backwards. A neater moving-average filter is smo.m

heat1_pde.m
Discretisation of the one dimensional heat diffusion problem suitable for solution using one of Matlab's ode solvers. Assumes constant thermal properties.
call_step_heat1_pde.m, call_period_heat1_pde.m
Example scripts illustrating how heat1_pde can be used.

These routines have an optional first order correction for substrate curvature.

qsolve.m
Returns the heat flux (W/m^2) for a given surface temperature history.
tsolve.m
Returns the surface temperature (relative to the pre-run level) for a given surface heat flux (W/m^2) history.