Solids

We provide an artificial temperature floor of 20 Kelvin to prevent DELTAE from trying to use negative temperatures when it is really lost. Consequently no temperature below 20 Kelvin can be used.

In what follows, ta is temperature in Kelvin, t1 is temperature in Celsius.

DELTAE looks for a 10-character field to determine solid type. Be sure to use plenty of trailing spaces after short solid names like ``mylar" to get comments like ``solid-type" out of the field.

ideal

ks, rhos, and cs are effectively infinite, so = 0.

copper

ks=398.-.0567*(ta-300.)
rhos=9000.
cs=420.

nickel

if (ta.lt.631) then   
 ks=63.8+.08066*(631.-ta)
else   
 ks=63.8+.02156*(ta-631.)
endif
rhos=8700.
cs=530.

stainless (stainless steel)

rhos=8274.55 -1055.23 *\exp (-((T1-2171.05)/2058.08)**2)  
cs=512.988 +146.608 *\exp (-((T1-688.183)/302.591)**2)  
ks=(3.64187 +0.00267962 *T1+4.49327e-07*T1**2)*4.186

molybdenum

rhos= 10868.6 -2637.52 *\exp (-((T1-11383.7)/9701.36)**2)
cs= 253.791 +0.0583812 *T1-2.73919e-06*T1**2 
ks= (33.9616 -0.00947953 *T1-4.12809e-08*T1**2)*4.186

tungsten

cs=.13576e3*(1.-4805./ta**2)+.0091159*ta+2.31341e-9*ta**3
ks=135.5+1.05e4/ta-.023*ta
rhos=19254*(1.-3.*(-8.69e-5+3.83e-6*t1+7.92e-10*t1**2))

kapton

ks=0.2*(1.-exp(-ta/100.))
rhos=1445.-0.085*ta
cs=3.64*ta

mylar

ks=0.11+1.7e-4*ta
rhos=1400.-0.175*ta
cs=3.7*ta

External-provided by user's file.

External solids, like external fluids, are derived from coefficients in user-written text files. Up to five external solids can be used at once. Each property is specified by a line containing 1-10 real coefficients to be read in as C_0-9, where unused parameters are set to zero. The order of the property lines is . Comment lines can be added with an initial `!', and blank lines are ignored.

Each of the three properties is derived from its 10 coefficients using the following equation:

To request a user-defined solid, simply use the root file name as you would any other solid. The .tpf file should be in the same directory or folder as the model file. If the name matches any pre-defined solid name, the (constant) user-defined properties will replace DELTAE's internal calculations. External solids are similar in most respects to external fluids; see Section V.C.12 for more relevant information.