Generalized Neumann Values 

Compute heat transported away with a heat sink.

In[1]:=

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Load the finite element package and generate a fine mesh from the boundary representation given for the heat sink.

In[2]:=

X Needs["NDSolve`FEM`"] mesh = ToElementMesh[bmesh, "MaxCellMeasure" -> 10]

Out[2]=

Solve a Laplace equation over a heat sink with two generalized Neumann boundary conditions applied at cells indicated by element markers distributed in the boundary representation and the mesh.

In[3]:=

X uif = NDSolveValue[-232.6 Laplacian[u[x, y, z], {x, y, z}] == NeumannValue[1000, ElementMarker == 2] + NeumannValue[(x/100 + 2) 58.15*(273.15 + 20 - u[x, y, z]), ElementMarker == 1], u, {x, y, z} \[Element] mesh];

Visualize the solution using the finite element package.

show complete Wolfram Language inputhide input

In[4]:=

X ElementMeshSurfacePlot3D[uif, Boxed -> False, Lighting -> "Neutral", ViewPoint -> {-2, -2, -1.6}]

Out[4]=