On magnetized Newtonian liquid suspension in single backward facing-step (SBFS) with centrally translated obstructions

Abstract

In this paper, the thermally magnetized liquid stream in a single backward facing step (SBFS) is investigated numerically. To be more specific, the magnetized viscous fluid is considered in a partially heated SBFS. Two partially heated square-shaped cylinders are installed as an obstruction in the path of fluid which is initiated with a parabolic profile from an inlet of SBFS. The bottom wall of SBFS is taken uniformly heated while the upper wall is taken an adiabatic. Both inlet and outlet are taken cold. The no-slip condition is carried at each wall. The mathematical modeling is executed to evaluate the drag and lift force experienced by installed uniformly heated obstacles. In this regard three different scenarios are considered subject to translation of centers (d = 0.8, d = 0.6 and d = 0.4) of obstructions. For the positive values of the Reynolds number, the case-wise relations for drag and lift coefficients are examined. In all three cases, the drag force faced by the first uniformly heated square cylinder increases as we increase the magnetic field parameter. For each case, the magnitude of the Nusselt number regarding to the base length of the backward facing phase is reported by using a line graph study.