Skip to content

Commit d3341da

Browse files
committed
Remove analytical solution part from Heat Conduction 1D Wall tutorial
1 parent b063822 commit d3341da

File tree

1 file changed

+0
-24
lines changed

1 file changed

+0
-24
lines changed

tutorials/HeatConduction1DWall.html

Lines changed: 0 additions & 24 deletions
Original file line numberDiff line numberDiff line change
@@ -114,30 +114,6 @@ <h2 id="mathematicalformulation"><a name="Mathematical formulation"></a>Mathemat
114114
temperature, implemented as Dirichlet type in the finite element code.
115115
</p>
116116

117-
<p>
118-
This problem has an analytical solution. Since the governing equation is \(\frac{d^2T}{dx^2} = 0\),
119-
the general solution is a linear function \(T(x) = Ax + B\), where \(A\) and \(B\) are constants
120-
determined by the boundary conditions:
121-
</p>
122-
<ol>
123-
<li>
124-
At \(x=0\): \(\frac{dT}{dx} = -\frac{h}{k}(T-T_{in})\)
125-
</li>
126-
<li>
127-
At \(x=W\): \(T(W) = T_0\)
128-
</li>
129-
</ol>
130-
<p>
131-
Solving these equations for our specific values (\(\frac{h}{k} = 1\) m<sup>-1</sup>, \(T_{in} = 25\) &deg;C,
132-
\(T_0 = 5\) &deg;C, and \(W = 0.15\) m), we get the analytical solution:
133-
</p>
134-
<p>
135-
\(T(x) \approx 23.53x + 1.47\)
136-
</p>
137-
<p>
138-
The numerical solution using finite elements should closely match this analytical result.
139-
</p>
140-
141117
<h2 id="solvingwithfeascript"><a name="Solving with FEAScript"></a>Solving with FEAScript</h2>
142118
<p>
143119
Below is a demonstration of how to use the FEAScript library to solve this stationary heat transfer

0 commit comments

Comments
 (0)