# Biomechanically driven flow of a magnetohydrodynamic bio-fluid in a micro-vessel with slip and convective boundary conditions

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## Abstract

The main objective of the present study is to model the peristaltic transport of an incompressible couple stress fluid in an inclined asymmetric channel under the impact of porous medium, inclined magnetic field, heat and mass transfer. The effects of viscous dissipation, thermal radiation, Joule heating, chemical reaction, slip and convective boundary conditions are also taken into account. The entropy generation analysis is also studied. The non-dimensional and non-linear partial differential equations that govern the fluid flow model are simplified under the long wavelength and low Reynolds number assumptions. The entropy generation number due to heat transfer, fluid friction and magnetic field is formulated. The exact solutions for the stream function, pressure gradient, temperature, concentration, heat transfer coefficient and Nusselt number are derived. The trapping phenomenon is also presented for different wave shapes through streamline patterns. The comparison has been made with the results obtained in the symmetric and asymmetric channel, and Newtonian and couple stress fluid model. The results indicate that the entropy generation number achieves higher values in the region close to the walls of the channel, while it gains low values near the center of the channel. Temperature is a decreasing function of radiation parameter, Prandtl number and thermal Biot number. The size of the trapped bolus is greater in the Newtonian fluid model than the couple stress fluid model.

## Notes

## References

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