However, the flow of power law fluids in conduits of non-circular (or with multiple connectivity) cross sectional geometries are relatively rare (see for instance ). This is due to the complexity of such flow phenomena due mainly to the geometric complications introduced by non-circular shapes or multiple connectivity where the dependencies of the flow characteristics and attributes become multi dimensional (as opposite to the flow in tubes of circular cross section where these characteristics and attributes depend on a single dimension, i.e. the tube radius).