ABSTRACT
More recently, with the use of hybrid method of solutions, the powers of numerical and analytic approaches have been combined and new possibilities opened for solving heat transfer problem. Consider, for example, the determination of heat flux, heat transfer coefficient or the Nusselt number. Accurate calculation of temperature gradients at the walls is essential. This requires a very fine mesh if the numerical calculations are performed with finite difference. Such a difficulty may be alleviated with the hybrid method utilizing the integral transform technique for the analytic part of the problem, finite differences for the numerical part. This can be achieved by developing an analytic solution along the space variable normal to the wall, while using numerical solution technique in the remaining space variables.
