Publication

Abstract : Perforated fins have been regarded as one of the most effective ways in fin optimization and are used in film cooling turbine blades. The convective heat transfer from a rectangular fin with circular perforations by considering the effect of internal heat generation, is studied in this analysis. The solution to the modelled heat transfer-perforation fin problem is explored using the Chelyshkov polynomial collocation method. The operational-matrix form of the heat transfer-perforation fin problem is established using this collocation method. The governing heat equation is developed and is transformed into a dimensionless ordinary differential equation (ODE) using appropriate dimensionless variables. This equation is solved via matrix based Chelyshkov polynomial collocation approximations (MBCPCA). The comparison with alternative approaches to solving the perforated fin equation is executed, and an error analysis is also presented. The effect of parameters, including the number of perforations and their geometrical dimensions, is considered in this analysis. The variation in thermal profiles for various parameters is illustrated through tabulated and graphical statistics. The outcomes demonstrated that the perforated fin with circular holes exhibited a lower fin temperature than the non-perforated one. The rate of heat transmission is increased by 39.83% when the Biot number is increased from 1 to 2.