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Passage and deformation of oil drops through non-converging and converging micro-sized slotted pore membranes

journal contribution
posted on 17.07.2017 by Asmat Ullah, S.W. Khan, Abdul Shakoor, Victor Starov
The model presented in the paper is the continuation of the previous work where a mathematical model was developed for the passage and deformation of micro-sized oil drops through a 4 μm converging slotted pore membrane. In the previous work, it was assumed that drops deform from a spherical shape to a prolate spheroid when pass through a converging slot. In the present study, it has been assumed that drops deform into an oblate spheroid while passing through a non-converging slot and a mathematical model is developed for the deformation of drops through non-converging slots. After extending the idea of static and drag forces, it is readily seen that the magnitude of static force (Fcx) for the non-converging slotted pore membrane is higher than the static force for the converging slotted pore membranes. This is because of drops deform suddenly in the non-converging slots, while, in case of converging slots, the drops deform gradually. Micro-sized oil drops of two systems with different interfacial tensions (4 and 9 mN/m) have been used in the study and it is observed that a higher interfacial tension leads to a higher rejection rate for both converging and non-converging slotted pore membranes at various in-pore filtration velocities.


This work was supported by KPK (NWFP) University of Engineering and Technology Peshawar Pakistan and Higher Education Commission (HEC) Pakistan.



  • Aeronautical, Automotive, Chemical and Materials Engineering


  • Chemical Engineering

Published in

Separation and Purification Technology




7 - 13


ULLAH, A. al., 2013. Passage and deformation of oil drops through non-converging and converging micro-sized slotted pore membranes. Separation and Purification Technology, 119, pp. 7-13.


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