“…It is noted, however, that limited published literature is available about the performance evaluation of integral pumping rings for dual seal cartridges, even though this design has been widely applied in the industry. For this reason, the previous companion works (Warda et al, 2016(Warda et al, , 2018bWarda, Wahba, et al, 2018;Warda et al, 2015) and the present one have been conducted in a quest to enrich the available literature investigating various designs of integral pumping rings for dual mechanical seals. In the first companion work (Warda et al, 2015), experimental and numerical setups were constructed to review the hydraulic performance of axial and radial flow integral pumping rings, which was the foundation stone of the following studies.…”