A new analytical study examines how hemodynamic and electroosmotic effects combine to drive the peristaltic transport of a Bingham fluid through an inclined microchannel. The work, published as open access research in Discover Applied Sciences, builds a unified mathematical model that brings together electroosmotic forcing, channel inclination, velocity slip, temperature-dependent viscosity, variable thermal conductivity, and compliant wall deformation in a single treatment of non-Newtonian flow at small scales.

The researchers, Basavachinmayashree B, Manjunatha Gudekote, Prathiksha Sanil, and Balachandra S. Hadimani, model a Bingham fluid, a material that behaves as a solid until the applied stress exceeds a yield threshold and only then begins to flow. This class of non-Newtonian behavior is relevant to biological fluids and to the engineered liquids used in microfluidic devices, which is why the authors frame the study around applications such as electroosmotic micropumps, targeted drug-delivery technologies, and lab-on-a-chip biomedical devices that handle non-Newtonian fluids.

The mathematical model incorporates the combined effects of electroosmotic forcing, channel inclination, velocity slip, temperature-dependent viscosity, variable thermal conductivity, and compliant wall deformation. To make the governing nonlinear equations tractable, the analysis assumes a long wavelength and a low Reynolds number, conditions typical of peristaltic motion in narrow channels where viscous forces dominate over inertia. Under these assumptions the equations are simplified, while the electric potential distribution near the channel walls is represented using the Debye–Hückel approximation, a standard linearization for the electrostatic double layer that forms when a liquid contacts a charged surface.

From this framework the team derives analytical solutions using the perturbation method for four fields at once: the velocity, the stream function, the temperature, and the concentration. Obtaining closed-form expressions for all of these quantities in a single model is presented as the study’s main contribution, because it allows the interplay between electrical, mechanical, and thermal effects on Bingham fluid transport to be examined within one consistent treatment rather than in separate analyses.

The obtained results indicate that electroosmotic forcing enhances the axial velocity and improves fluid transport. In electroosmosis, an applied electric field moves charged liquid near the channel walls, and the model shows this mechanism working alongside peristaltic pumping to push the Bingham fluid along the inclined channel. The results also show that velocity slip reduces wall resistance and promotes flow movement, meaning that allowing the fluid to slip at the boundary rather than stick to it lowers the friction that would otherwise slow the peristaltic motion.

Fluid properties prove to be a decisive factor in the thermal and compositional behavior of the flow. According to the study, variations in liquid properties significantly alter the temperature and concentration distributions, reflecting the inclusion of temperature-dependent viscosity and variable thermal conductivity in the model. Because viscosity and thermal conductivity change with temperature in many liquids of practical interest, the coupling between the velocity field and the temperature field feeds back into the overall transport behavior.

The mechanical configuration of the channel matters as well. The results reveal that channel inclination and compliant wall parameters strongly influence the pumping performance and transport characteristics of the fluid. Compliant walls deform in response to the peristaltic wave, and the model treats this flexibility together with the angle of the channel relative to gravity, both of which shape how effectively the wave moves the Bingham fluid through the microchannel.

The study’s highlights state that a unified analytical model is developed for electroosmotic peristaltic flow of a Bingham fluid, that the effects of channel inclination, wall compliance, and velocity slip on fluid transport are investigated, and that temperature-dependent viscosity and thermal conductivity are included to account for variable liquid properties. A further highlight notes that electroosmotic forcing significantly modifies velocity, thermal, concentration, and trapping characteristics, extending the model’s reach to the trapping phenomena often analyzed in peristaltic flow studies.

The authors position the work as a step toward the development and optimisation of electroosmotic micropumps, targeted drug-delivery technologies, and lab-on-a-chip biomedical devices that employ non-Newtonian fluids. Because the analysis is analytical rather than experimental, its findings describe how the modeled parameters affect the solved velocity, temperature, concentration, and trapping fields under the stated assumptions of long wavelength, low Reynolds number, and the Debye–Hückel approximation for the electric potential. Within that scope, the study offers a consolidated mathematical description of how electroosmotic forcing, inclination, slip, variable properties, and wall compliance jointly govern Bingham fluid peristalsis in inclined microchannels.

Subject of Research: Electroosmotic peristaltic transport of a non-Newtonian Bingham fluid through an inclined microchannel with variable fluid properties and compliant walls

Article Title: Hemodynamic effects on peristaltic transport of non-Newtonian Bingham fluid through inclined microchannel

Article References: B, B., Gudekote, M., Sanil, P., & Hadimani, B. S. (2026). Hemodynamic effects on peristaltic transport of non-Newtonian Bingham fluid through inclined microchannel. Discover Applied Sciences. https://doi.org/10.1007/s42452-026-09636-4

Image Credits: AI Generated

DOI: 10.1007/s42452-026-09636-4

Keywords: Bingham fluid, peristaltic transport, electroosmosis, microchannel, non-Newtonian fluid, velocity slip, temperature-dependent viscosity, compliant walls, channel inclination, perturbation method, Debye–Hückel approximation, lab-on-a-chip