|
Vol.26, Special Issue B, 2026, pp. S53–S60 |
|
STOKES FLOW AROUND STAGGERED CIRCULAR CYLINDERS IN RECTANGULAR MICROCHANNEL Vishal Chhabra1
1) Department of Mathematics, School of Basic and Applied Sciences, K.R. Mangalam University, Gurugram, Haryana, INDIA V. Chhabra https://orcid.org/0009-0000-5612-0245 2) Department of Science and Mathematics, International Institute of Information Technology, Naya Raipur, Chhattisgarh, INDIA C.S. Nishad https://orcid.org/0000-0002-8941-4079 3) Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, INDIA M. Sahni https://orcid.org/0000-0001-7949-9147 , *email: Manoj.Sahni@sot.pdpu.ac.in
|
|
Abstract The present work formulates a two-dimensional hydrodynamical model for steady, viscous, incompressible, pressure driven fluid around circular cylinders of fixed radii configured in staggered arrangement within a rectangular horizontal microchannel. To enhance our understanding towards the hydrodynamics of microchannel flows, we consider surface roughness of both horizontal surfaces of the microchannel which is mathematically possible with the utilisation of Navier slip boundary conditions in alternative manner. The Stokes equations govern the considered fluid flow at low Reynolds number, which is solved numerically by using boundary element method (BEM). The MATLAB® software is used to implement the BEM. The hydrodynamic quantities are systematically analysed to study in-depth dynamics of Stokes flow. We analysed a noticeable change in the pressure gradient at the slip regime, which occurs due to the reduced wall resistance that alters the near-wall velocity and modifies the overall pressure distribution. The proposed model holds practical significance in various fields, including hemodynamic flow analysis and the design of lab-on-chip diagnostic devices. Keywords: • boundary element method • staggered circular cylinders • microchannel • slip patterning • Stokes equation |
|
full article (792 kB)
|
