Madhumita Mahanta, Ashis Paul

Abstract: The unsteady flow of an incompressible, electrically conducting viscoelastic fluid governed by the second-order fluid model has been investigated in the presence of an oscillating infinite porous plate. The analysis is conducted under the influence of a uniform transverse magnetic field. The governing nonlinear differential equations that describe the flow dynamics are derived and solved. The effects of various physical parameters, particularly the viscoelastic parameter are examined in detail. The results are presented through graphical representations of the velocity profiles, highlighting how the viscoelasticity influences the flow behaviour in presence of the various parameters involved in the solution.

Keywords: MHD, Incompressible, Oscillatory flow, Porous medium, Viscoelastic fluid

Date Published: December 3, 2025
DOI: 10.11159/jffhmt.2025.041

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