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In this paper, we investigate time-dependent viscous fluid flow along a stretching horizontal plate with a magnetic field, viscous dissipation and chemical reaction are taken into account. A system of partial differential equations (PDEs) governs the flow problem. Using dimensionless variables, system of governing PDEs is transformed to dimensionless form. Finite difference method is the numerical method adopted for solving the system of PDEs with initial and boundary conditions. The impact of potential variables is examined and displayed graphically. The results suggest that greater Hartmann number reduces velocity and temperature, whereas raising chemical reaction parameter decreases concentration profile. Moreover, skin friction increases with Hartmann number values and Nusselt number, showing increase for growing Eckert and Prandtl numbers. [ABSTRACT FROM AUTHOR]

In this analysis, rotation, magnetic fields, and Hall current effects are considered as they pertain to the flow of a Prandtl fluid via a conduit with slip boundary conditions. Closed-form solutions for velocity and temperature are derived using a long-wavelength approximation and conditions of low Reynolds numbers in the analysis. The results show that the pressure gradient rises for larger values of the first-order slip parameter and the second-order slip parameter but falls for larger values of the Prandtl fluid parameter. Furthermore, in the free, peristaltic, and retrograde pumping regimes, pumping rates increase with an increase in the slip parameters, while pumping rates drop in the back-pumping zone. Although fluid temperature drops with an increase in the Prandtl fluid parameter, it is still affected by the Prandtl fluid parameter and the slip parameters. The ramifications of these findings for developing pumping systems and gastrointestinal health are substantial. They allow the body's fluids to flow smoothly, which improves the efficiency of functions, including oxygen delivery, waste removal, and nutrient delivery. [ABSTRACT FROM AUTHOR]