#Example_333 Heating of a cast iron furnace wall
fem #Set the FEM environment
fem define nodes;r;furnace;example #Read in the nodes to define a furnace wall
fem define window;c #Calculate the window size
fem define bases;r;;example #Defines a bilinear basis function
fem define elements;r;;example #Read in the elements to define a furnace wall
fem draw line #Draw the lines
fem define equation;p #Define a TIME INTEGRATION analysis of
# ! the ADVECTION-DIFFUSION equation
# ! using GALERKIN FINITE ELEMENTS with
# ! LINEAR ANALYSIS. Default all other options.
# ! Note that the advection-diffusion equation
# ! in CMISS is of the form
# ! s. del T/del t + u. grad T =
# ! D_i. del^2 T/del x_i^2 + a + b.T
# ! where a is the constant source term, b
# ! is the linear source term, s the storage
# ! coefficient, D_i the diffusion coefficients
# ! (in each direction) and u the velocity
# ! vector (mass flow in each direction).
# ! The heat equation is, on the other hand, of
# ! the form 1/alpha. del T/del t =
# ! del^2 T/del x_i^2 where alpha is the thermal
# ! diffusivity and is equal to k/(rho.C) where
# ! k is the thermal conductivity, rho the
# ! density and C the specific heat.
fem define material;p #Define material properties. Comparing the
# ! advection-diffusion equation with the heat
# ! equation (above) we can make the
# ! advection-diffusion equation govern the
# ! heat flow in the cast iron wall by setting
# ! both the constant and linear source terms
# ! to zero, the storage coefficient to be
# ! 1/alpha (= 6.585 s/cm^2 because
# ! 1/alpha=65850 s/m^2 for grey cast iron,
# ! however the wall is only 1 cm thick),
# ! the diffusion coefficients to be 1,
# ! and the mass flows zero. (Default the rest).
fem define initial;p #Define the initial conditions. The initial
# ! solution is zero. Set Nodes 1 and 7 to
# ! zero degrees C and nodes 6 and 12 to 1000
# ! degrees C.
fem define solve;p #Defines solver options. Default all options
# ! except set the final time to 3 seconds and
# ! the time increment to 0.1 seconds.
fem solve #Solve the time integration problem
fem display history #Display the nodal time history.
fem draw field animate #Show the temperature field over time. You
# ! want to ensure that the spectrum in the
# ! GX window #1 is set to Light to Dark.
# ! Note this may take a little while.
Name Modified Size
example_333.com 02-Mar-2005 3.6k furnace.com 10-Apr-2000 118 furnace.ipbase 10-Apr-2000 1.1k furnace.ipelem 10-Apr-2000 1.4k furnace.ipequa 26-May-2003 1.2k furnace.ipequa.old 18-Jun-2002 1.2k furnace.ipinit 10-Apr-2000 762 furnace.ipmate 07-Apr-2003 2.6k furnace.ipmate.old 10-Apr-2000 2.0k furnace.ipnode 10-Apr-2000 1.8k furnace.ipsolv 13-Apr-2007 1.7k timedep4.iphist 10-Apr-2000 45k
Name Modified Size
examples_3_33_333.tar.gz 14-Apr-2007 9.2k
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