Use of the Alternating Directions Method in Cylindrical Coordinates, Applied to the Two-Dimension Unsteady Conduction Heat Transfer

Abstract Finding analytical solutions for the unsteady conduction heat transfer equation is generally very difficult due to intrinsic complexity of problem. In most cases, has no solutions. A numerical approach that surmounts these difficulties consists finite difference technique. The alternate directions finite-difference technique especially suits two-dimension conduction. paper considers a hollow cylinder consisting medium, and two-direction propagation within this medium studied by means method. simulates process during charge-discharge cycle single borehole storage.