Membrane filtration is essential to people, it appears in water desalination, food processing, and bioproduct purification. Concentration polarization limits the performance of membrane-based processes due to the accumulation of particles on the membrane surface. In order to mitigate the negative effects, curved tubes are used to induce dean vortex through centrifugal force. In this study, a sensitivity analysis is performed to determine the relationship of mass transfer with aspect ratio, pitch and Re. Besides that, computational fluid dynamic simulations are used to examine the mass transfer in straight, twisted elliptical and helically-coiled hollow fiber membranes for laminar flow ($Re<200$). The study has found the concentration decreases with increasing aspect ratio, Re and decreasing normalized pitch in the twisted elliptical fiber. The twisted fiber with same inlet mass flow rate is found to have the lowest azimuthally-averaged concentration, the least fouled area and the smallest pressure drop. According to the findings, a potential increase in mass transfer could be expected by lowering the normalized pitch of twisted fiber while operating at the same Re as a helical fiber.