  This work focuses on determining the coefficient of thermal diffusivity in a
one-dimensional heat transfer process along a homogeneous and isotropic bar,
embedded in a moving fluid with heat generation. A first type (Dirichlet)
condition is imposed on one boundary and a third type (Robin) condition is
considered at the other one. The parameter is estimated by minimizing the
squared errors where noisy observations are numerically simulated at different
positions and instants. The results are evaluated by means of the relative
errors for different levels of noise. In order to enhance the estimation
performance, an optimal design technique is chosen to select the most
informative data. Finally, the improvement of the estimate is discussed when an
optimal design is used.
