Analysis of a magnetic field and Hall effects in nanoliquid flow under insertion of dust particles

Abstract

AbstractIn this study, the two‐phase hydromagnetic flow of a viscous liquid through a suspension of dust and nanoparticles is considered. The influence of the Hall current is also taken into account. The similarity variables are utilized to transform the problem into one independent variable. The obtained expressions in one independent variable are solved through the Runge–Kutta–Fehlberg scheme connected with the shooting procedure. The computed results are sketched for employing multiple values of physical constraints on the temperature and velocity of the nanofluid and dust phase. The characterization of various nanoparticles like Cu, Al2O3, TiO2, and Ag on velocities and temperatures of both phases is made through plots. A comparative analysis in the limiting approach is presented to justify the present solution methodology. The range of emerging parameters is taken as 0 ≤ l ≤ 3, 0.1 ≤ βt ≤ 3, 0 ≤ m ≤ 2.5, 0 ≤ M2 ≤ 2, 0.1 ≤ βv ≤ 3, 0 ≤ ϕ ≤ 0.4, and −0.8 ≤ λ ≤ 0.8. From the study, it is revealed that βt has the opposite effect on the temperature of dust and nanofluid phases. The Hall parameter m raises the profiles of velocities in the nanoliquid and dust phases. Also, it is found that the transverse velocities h(η) and H((η) and temperatures θ(η) and θp(η) rise for larger ϕ.