  We consider the steady heat conduction problem within a thermal isotropic and
homogeneous infinite strip composite reinforced by uniformly and randomly
distributed non-overlapping carbon nanotubes (CNTs) and containing voids. We
treat the CNTs as thin perfectly conducting elliptic inclusions and assume the
voids to be of circular shape and act as barriers to heat flow. We also impose
isothermal conditions on the external boundaries by assuming the lower infinite
wall to be a heater under a given temperature, and the upper wall to be a
cooler that can be held at a lower fixed temperature. The equations for the
temperature distribution are governed by the two-dimensional Laplace equation
with mixed Dirichlet-Neumann boundary conditions. The resulting boundary value
problem is solved using the boundary integral equation with the generalized
Neumann kernel. We illustrate the performance of the proposed method through
several numerical examples including the case of the presence a large number of
CNTs and voids.
