Abstract
AbstractIn this paper the steady laminar flow of viscous incompressible ferromagnetic fluid is considered in a slot between fixed surfaces of revolution having a common axis of symmetry. The boundary layer ferromagnetic equations for axial symmetry are expressed in terms of the intrinsic curvilinear orthogonal coordinate system x, θ ,y.The method of perturbation is used to solve the boundary layer equations. As a result, the formulae defining such parameters of the flow as the velocity components vx, vy, and the pressure , were obtained.
Highlights
BASIC EQUATIONSMagnetic fluids are a group of materials with properties hardly ever encountered in nature [9, 15]
Modeling of laminar flow of viscous fluids going through slots between movable and non-movable rotating surfaces exposed to magnetic field still plays a significant role in engineering [6, 7, 12, 14, 16]
With the diagram and equations describing the components of the field of velocity and pressure, it is possible to formulate the following conclusions: For longitudinal velocity vx (Fig. 3): – the main profile of velocity vx is a parabolic profile identical to traditional Poisseuille flow profile caused by a steady gradient of pressure characteristic for the so-called Reynolds approximation; – the so-called secondary profile symmetric to the slot symmetry axis formed due to the occurrence of the flow inertia effects, overlaps the main velocity profile vx (Fig. 4)
Summary
Magnetic fluids are a group of materials with properties hardly ever encountered in nature [9, 15]. A combination of fluid and ferromagnetic material makes, without external magnetic field, magnetic fluids not to show magnetization and, reversely, the magnetic fluid, when subjected to external magnetic field, changes its properties [3, 8, 10]. Depending on the concentration of ferromagnetic particles, the magnetic fluid behaves like Newton fluid or non-Newton fluid [10]. Modeling of laminar flow of viscous fluids going through slots between movable and non-movable rotating surfaces exposed to magnetic field still plays a significant role in engineering [6, 7, 12, 14, 16]. It is important for the studies in this field to be performed both in terms of theory and possible practical applications [2, 4, 5]
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