Abstract:
This paper deals with the numerical study of a conductive, convective and radiative cylindrical porous fin.
At first, Runge–Kutta method-based numerical solution is obtained for calculating the temperature distribution, and then an inverse problem is solved for estimation of unknown parameters. Five critical
parameters such as the porosity, emissivity, solid thermal conductivity, thickness and the permeability
have been simultaneously predicted for satisfying a prescribed temperature distribution on the surface
of the porous fin. This is achieved by solving an inverse problem using the hybrid evolutionary–nonlinear
programming optimization algorithm. The effect of random measurement errors between ±10% has
been considered. The estimated values of non-dimensional entities such as porosity and surface emissivity are found to be approximately within the range, 0.28–0.92 and 0.27–0.75, respectively. Additionally,
the thermal conductivity, thickness and the permeability are found to be almost between 17 and
140 W/m K, 8.7 104 to 0.007 m and 2 1011 to 5 108 m2
, respectively. The present study reveals
that many feasible combinations of available materials satisfy the same temperature field, thus providing
an opportunity for selecting any combination from the available alternatives. Moreover, the hybrid
method is found to perform better and yield relatively faster convergence than individual methods.
The sensitivity analysis reveals that the effect of fin permeability on the temperature field is considerably
high than other parameters
