Entropy generation in a hollow cylinder with temperature dependent thermal conductivity and internal heat generation with convective–radiative surface cooling ☆

摘要: Abstract This article investigates entropy generation in an asymmetrically cooled hollow cylinder with temperature dependent thermal conductivity and internal heat generation. The inside surface of the is by convection on its while outside experiences simultaneous convective–radiative cooling. as well within are linear functions temperature, introducing two nonlinearities one-dimensional steady state conduction equation. A third nonlinearity arises due to radiative loss from cylinder. nonlinear system solved analytically using differential transformation method (DTM) obtain distribution which then used compute local total rates accuracy DTM verified comparing predictions analytical solution for case constant generations depend six dimensionless parameters: parameter Q, β, conduction–convection parameters Nc1 Nc2, conduction–radiation Nr, sink δ radiation η.