Magneto–Peristaltic Transport and Thermal Radiation Effects on Phan‐Thien–Tanner Viscoelastic Fluid With Drug Delivery

ABSTRACT

The present work describes the influence of peristaltic thrusting on the behavior of a non‐Newtonian fluid called Phan‐Thien–Tanner fluid or, in short, PTT fluid as they move through a non uniform wavy channel, while also considering both heat and mass transfer. The current study focuses on both linear and exponential models of the PTT equation, taking into consideration nonlinear thermal radiation and induced magnetic field. Intricate mechanisms regulate the fluid flow, and solutions are derived using both perturbation techniques and numerical approaches. We choose the finite difference technique in order to obtain solutions of exponential models numerically, whereas the governing linear PTT equations are solved approximately using a perturbation technique. Also, this work clearly analyzes physiological factors to observe the effects of several developing characteristics. The effects of physical factors on the pressure difference, current density function, induced magnetic field, axial velocity, concentration, heat transfer, and streamlines have been analyzed and presented as graphical illustrations. The Lorentz force associated with a higher Hartmann number cuts the longitudinal velocity by roughly and increases the pressure by , which translates to greater pumping power requirements. The induced magnetic field increases by up to as the Hartmann and magnetic Reynolds numbers increase; yet, it decreases at higher Weissenberg numbers due to fluid elasticity. The temperature decreases significantly by due to strong magnetic forces and by due to thermal radiation. Moreover, the concentration increases by nearly , a shift that favors controlled transport and better drug preservation. The capacity of nonlinear thermal radiation and magnetic fields to dictate the flow, temperature, and concentration highlights their potential as reliable tuning mechanisms in biomedical engineering. Consequently, the current work offers a solid foundation for developing upgraded microfluidic technologies and more accurate drug delivery applications.