Figure 2

(a) Schematic of the boundary conditions used for the simulation of racetrack-shaped magnetic cooling device*. No-slip boundary condition is considered at the flow channel wall. (b) Outline of the one-dimensional flow loop approach used for the analytical derivation of temperature, magnetic pressure, and friction factor. The green ellipse denotes the flow loop length (l) origin l = 0. The yellow ellipses denote locations and lengths of the flow loop (l) from the origin required to derive the figure of merit. Pink arrows represent the ferrofluid flow direction along the flow loop. Notations: QHL (heat load power), QIN (input power), QHS (heat sink power), QOUT (output power), TLOAD (heat load temperature), TSINK (heat sink temperature), TAMB (Ambient temperature), v (fluid velocity at the wall), l (flow channel length from the origin), lHL (heat load arc length), l′ (inflow and outflow channel lengths). *Not shown here: heat load insulation by a ceramic fiber blanket wool.