A numerical work has been performed to study the entropy generation of micropolar fluid flow and heat transfer in an annulus with porous walls under the transverse magnetic field associated with slip and convective boundary conditions. Assume that the injection velocity at one wall is same as the suction velocity at the other wall. The governing equations of the fluid flow are linearized using quasilinearisation method and further, solved by the Chebyshev spectral collocation method. The numerical data for velocity, microrotation and temperature fields are used to evaluate entropy generation and Bejan number. It has been found that the maximum entropy generation is observed at the inner cylinder and minimum entropy generation is observed at the outer cylinder. Also entropy generation increases with increase in coupling number, Hartman number, cross flow Reynolds number, Biot number and Brinkman number. Whereas it reduces with increase in slip parameter. (C) 2016 Elsevier Ltd. All rights reserved.