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# 1d_float_zone

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# 1d_float_zone   {  1D_FLOAT_ZONE.PDE

This is a version of the example FLOAT_ZONE.PDE in 1D cartesian geometry.

}

title

"Float Zone in 1D Cartesian geometry"

select

cell_limit=100

coordinates

cartesian1

variables

temp(threshold=100)

definitions

k = 10   {thermal conductivity}

cp = 1   { heat capacity }

long = 18

H = 0.4   {free convection boundary coupling}

Ta = 25   {ambient temperature}

A = 4500 {amplitude}

source = A*exp(-((x-1*t)/.5)^2)*(200/(t+199))

initial value

temp = Ta

equations

temp : div(k*grad(temp)) + source -H*(temp - Ta) = cp*dt(temp)

boundaries

region 1

start(0) point value(temp) = Ta

line to (long) point value(temp) = Ta

time -0.5 to 19 by 0.01

monitors

for t = -0.5 by 0.5 to (long + 1)

elevation(temp) from (0) to (long) range=(0,1800) as "Surface Temp"

plots

for t = -0.5 by 0.5 to (long + 1)

elevation(temp) from (0) to (long) range=(0,1800) as "Axis Temp"

elevation(source) from(0) to (long)