OPTIMUM CONFIGURATIONS OF ANNULUS WITH TRIANGULAR FINS FOR LAMINAR CONVECTION
2017
Optimum configurations of a finned annulus with longitudinal fins of
triangular cross-section have been investigated numerically for the
enhancement of overall (hydraulic and thermal) performance so that optimum
use of energy and saving of cost may be achieved. A steady, laminar and
incompressible flow is considered in the fully-developed region of the finned
annulus subjected to the thermal boundary condition of constant heat transfer
rate per unit axial length. Optimization has been carried out by using
genetic algorithm. Finite element method is employed to perform the numerical
simulation of the flow and provide function values to the optimizer. Using
surface flow area goodness factor as the objective function, various optimum
configurations have been proposed depending on practical and industrial
requirements. A comparison of the present optimum configurations has been
carried out with those based on the Nusselt number as an objective function.
The results indicate that the present objective function gives, in many
cases, cost- and weight-efficient optimum configurations with considerable
reduction in pressure loss and provides optimum use of energy along with
saving of the cost. Relative performance measures recommend the use of at
least 18 fins to have trade off between the gain in heat transfer coefficient
and loss in the pressure gradient.
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