Laminar flow in the entrance region of an annular channel with dissipation

In this paper we analyze the Laminar flow in the entrance region of an annular channel with dissipation. The motion of fluid is between the two insulating cylinders which are concentric. The origin of the coordinate system is located at the extreme left of the channel along the central line of the cylinders, Z is the coordinate which increases in the down stream direction, R is the radial coordinate and θ is the angular coordinate and is perpendicular to the (R, Z) plane. The flow problem is described by means of partial differential equations and the solutions are obtained by using an implicit finite difference technique. The velocity, temperature and pressure profiles are obtained and their behaviour is discussed computationally for different values of governing parameters like Eckert number Ek and Prandtl number Pr.