Heat Flow in Composite Slabs

Finite element analysis of conductive and radiative heating of a thin skin calorimeter

“…In the sounding rocket, the thickness-to-radius ratio is less than 0.02 therefore equivalent wall thickness treatment in W~irme-und Stofftibertragung 22 (1988) Cartesian coordinate is valid [6]. The governing two-dimensional unsteady equation in Cartesian coordinate system assuming constant thermophysical properties is…”

Bondline temperature of a two-layer slab subjected to aeroheating - Graphical solution

“…The dashed curve in Fig. 3 shows the corresponding outer surface temperature T(Q,Fo) history, obtained by performing a radiation equilibrium thermal balance at x = 0, using the Stefan-Boltzmann equation q = ae(T + 460) 4 to obtain T vs F 0 when q vs 8 is given. For F Q = 0 or any other time at which q = 0, the equilibrium temperature is chosen to be zero.…”

“…7 To quote, 7 "If f(x,0) is the solution for the temperature history in a solid whose initial temperature is zero, and whose surface is maintained at a temperature of unity, then the solution v(x,8) is given by (2) Equation (2) By substituting (F 0 -X) for Fo, differentiating f(l,F Q ) with respect to time F Q , and adding the initial temperature 7\, the bondline temperature is obtained (4) The "kernel" [the summation of the bracketed term in Eq. (4) ] is designatedf'(l,F<> -X) and is plotted vs ^0 -X for a wide range of 77 values in Fig.…”

The Aerodynamic Heating of a Composite Flat Plate

“…T(y,t) = 9(y)e -+ C (4) Upon substitution into equation (1) we obtain a differential equation in g(y) which has as its solution:…”