Magnetized squeezed flow of time‐dependent Prandtl‐Eyring fluid past a sensor surface

Abstract

The present numerical investigation describes the influence of a transverse magnetic field on the heat and mass transfer characteristics of time‐dependent squeezed flow of Prandtl‐Eyring fluid past a horizontal sensor surface. The current physical problem is modeled based on the considered flow configuration. Also, the present problem is analyzed under the influence of Lorentz forces, to explore the impact of a magnetic field on the flow behaviour. The considered physical problem in the present study gives highly nonlinear coupled time‐dependent, two‐dimensional partial differential equations. The governing flow equations are reduced to the system of nonlinear ordinary differential equations by imposing the suitable similarity transformations on the laws of motion. Due to the inadequacy in the analytical methods, the present problem is solved by using the Runge‐Kutta fourth order integration scheme with shooting method. The flow and heat transfer behaviour of various control parameters are studied and presented in terms of graphs and tables. From the current investigation it is noticed that, the increasing magnetic parameter enhances the velocity field and diminishes the temperature profile in the flow region. Also, the magnifying permeable velocity parameter decreases the temperature field. The present similarity solutions are found to be in good agreement with previously published results.

Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach

“…Abdelsalam et al 32 used the Eyring-Powell fluid model as the base fluid to investigate the behavior of a microorganism swimming through a cervical canal. Moreover, Shankar and Naduvinamani 33 carried out the numerical solution for magnetized squeezed unsteady 2D Prandtl–Eyring fluid flow through a horizontal sensor sheet. From their investigation it has been noticed that fluid velocity boosts with magnetic parameter while the fluid temperature diminishes in the flow region with magnetic parameter.…”

Dissipative Lorentz force influence on mass flow over a micro‐cantilever sensor sheet under magnetic Ohmic heating

“…Additionally, the 𝑥 − 𝑦 coordinate system is deployed and in which 𝑥-axis is taken along the axial flow direction. Consequently, under the aforementioned closed channel and boundary layer flow predictions and by deploying the suitable equations from the non-Newtonian second-grade fluid model as depicted in Section 2, the governing flow, thermal and mass distributive Navier-Stokes conservative expressions for the flow of magnetic second-grade fluid under suspended channel regime are shown by generalizing the existing studies [28,29,36,[38][39][40]42].…”

“…However, by virtue of the aforementioned squeezing studies, the pioneering work which is closely associated with the flow and thermal distribution features of traditional fluid around the sensor regime under the outside squeezing condition manifested with transpiration and magnetic force field influences was documented by Khaled and Vafai [28]. The efforts of Khaled and Vafai [28] were significantly elaborated by Usha and Naduvinamani [29] by considering the magnetic unsteady Prandtl‐Eyring rheological liquid under outside squeezing conditions. Further, literature [29] states that the increasing Lorentz force field increases the liquid velocity and decreases the temperature and consequently cools the sensor lubrication region.…”

“…The efforts of Khaled and Vafai [28] were significantly elaborated by Usha and Naduvinamani [29] by considering the magnetic unsteady Prandtl‐Eyring rheological liquid under outside squeezing conditions. Further, literature [29] states that the increasing Lorentz force field increases the liquid velocity and decreases the temperature and consequently cools the sensor lubrication region. Also, the suppressed thermal gradients were recorded for the larger transpiration number in the parallel regime.…”

Fractal Numerical Investigation of Mixed Convective Prandtl-Eyring Nanofluid Flow with Space and Temperature-Dependent Heat Source

“…On the other hand, increasing heat transport was a crucial function of the non-Newtonian one. The phenomenon of Prandtl-Eyring fluid movement through a sensor surface under conditions of magnetic force was studied by Shankar and Naduvinamani [17]. An increase in the velocity field and a decrease in the temperature profile were seen as a result of adding magnetic parameters.…”