Micropolar fluid flow and heat transfer in a permeable channel using analytical method

- Micropolar fluid flow in a channel subject to a chemical reaction is investigated analytically.
- Homotopy perturbation method (HPM) is applied for solving the problem.
- Reynolds number and Peclet number have direct relationship with Nusselt number and Sherwood number.

In this study, micropolar fluid flow in a channel subject to a chemical reaction is investigated analytically using homotopy perturbation method (HPM). The concept of homotopy perturbation method is briefly introduced and employed to derive solutions of nonlinear equations. The obtained results from HPM are compared with those of obtained from numerical method (four-order Runge-Kutta method) to verify the accuracy of the proposed method. The results reveal that the HPM can achieve suitable results in predicting the solution of such problems. The effects of significant parameters such as Reynolds number, micro rotation/angular velocity and Peclet number on the flow, heat transfer and concentration characteristics are discussed. For both suction and injection it can be found that Reynolds number and Peclet number have direct relationship with Nusselt number and Sherwood number.