Poiseuille flow of Jeffrey fluid with variable transport properties in porous media under magnetic and radiative effects

Objective

The aim of this study is to analyze the momentum and heat transfer characteristics within a porous medium influenced by thermal radiation, slip boundary conditions, and temperature-dependent viscosity and thermal conductivity.

Problem statement

The Poiseuille flow of MHD Jeffrey fluid through the horizontal infinite slippery walls filled by porous medium is discussed in this theoretical analysis under the contribution of variably viscosity and thermal conductivity along viscous dissipation and thermal radiation effects.

Methodology

The problem is simplified into ordinary differential equations through the dimensionless numbers and parameters. The resultant boundary values problem is solved by using the numerical technique (shooting method based on Runge-Kutta method) to regulate the velocity and temperature profiles. The graphs of velocity and temperature are drawn against the dimensionless parameters and numbers under the acceptable range.

Outcomes

The outcome of the study reveals that the temperature dependent viscosity improves the flow phenomena and thermal profile, but variable thermal conductivity declines the profile of temperature. The velocity slip upgrades the velocity distribution and thermal sip enhances the temperature field. The velocity and thermal profile of Jeffrey fluid is superior to the Newtonian fluid under the impact of each dimensionless parameter and numbers.

Applications

The results offer valuable insights for applications that demand effective thermal regulation and accurate fluid flow control, enhancing their relevance to both engineering and biomedical fields.

Originality/value

Earlier research has not presented a comparative investigation of Newtonian and non-Newtonian fluid flows through porous media, considering the combined influences of a uniform magnetic field, thermal radiation, slip boundary conditions, and temperature-dependent viscosity and thermal conductivity. This study is undertaken to address this identified gap in literature.