Determining the flow between eccentric cylinders is crucial in a wide range of industries. The governing equations for the flow
between eccentric cylinders cannot be solved analytically. Therefore, three-dimensional incompressible viscous fluid flow
between eccentric and concentric cylinders has numerically been simulated in this paper to investigate them using a
characteristic-based approach. The first-order characteristic-based scheme is used to calculate convective terms, whereas the
second-order averaging technique is used to calculate viscous fluxes. The Taylor number, eccentricity distance, Reynolds
number, and radius ratio are considered the controlling parameters of fluid flow between the cylinders. The influence of flow
between cylinders on flow patterns is presented in terms of velocity, pressure, and flow contours. It is found that at a constant
Taylor number, the asymmetric centrifugal forces produce the Taylor vortices on the right of the internal rotating cylinder as
the eccentric distance increases. When the eccentric distance increases, the magnitude of shear stress and its fluctuation on the
cylinder wall, as well as the pressure on the cylinder wall, rise. The numerical results obtained were validated by comparing
them to previously published experimental results, which showed a high level of agreement.