We study incompressible fluid flow through a straight duct of different cross-section rotating to examine the effects of Coriolis force, Grashof number, Prandtl number, aspect ratio and Pressure-driven parameter (centrifugal force) on the flow. The flow of conductive fluids in highly conductive curved pipes .Spectral method is applied as a main tool for the numerical technique, where the Chebyshev polynomial, the Collocation methods, the Newton-Raphson method, the Are-length method are also used as secondary tools.