Fluid film squeezed between two rotating disks in the presence of a magnetic field

Study of Nonlinear MHD Tribological Squeeze Film at Generalized Magnetic Reynolds Numbers Using DTM

“…Hence, the axial magnetic force N 2 can be used to increase the azimuthal velocity of the fluid. The increase of g with N 2 agrees with the results obtained by Elshekh and Elhady [ 24 ] and Hamza [ 43 ]. The effect of the magnetic force N 2 will be dominant Ω 1 .…”

“…For liquid metals μ 2 = μ 0 , where μ 0 is the permeability of free space. Following the experimental study, H θ and H z are assumed to be zero on the lower disk [ 24 ]. This applied magnetic field ( H ) generates an induced magnetic field B with components ( B r , B θ , B z ) in the squeeze film, between the disks.…”

“…This applied magnetic field ( H ) generates an induced magnetic field B with components ( B r , B θ , B z ) in the squeeze film, between the disks. By neglecting the convective acceleration components in the Navier–Stokes equations and considering the above assumptions, the governing equations of the hydro-magnetic squeeze film regime for the momentum and magnetic field equations in a ( r , θ , z ) coordinate system are [ 24 , 34 , 35 ]: where ν is the kinematic fluid viscosity, ρ is fluid density, μ 2 is magnetic permeability of the medium between the two disks (squeeze film regime) and σ is the electrical conductivity of fluid (squeeze film).…”

“…It should be noticed that the Eqs ( 4 )–( 6 ) are the components of magnetic field equation in the directions of polar coordinate system, where B = μ 2 H [ 24 , 36 ]. The governing equations can be reduced from a system of partial differential equations (PDEs) to dimensionless, coupled and nonlinear ordinary differential equations (ODEs) by introducing the following transformations: …”

“…Several researchers have studied magnetic induction effects. Elshekh and Elhady [ 24 ] investigated magnetic squeeze film flow between co-rotating disks with induced magnetic field effects, computing the response of radial and azimuthal magnetic fields to squeezing rates and relative disk rotation, although only for a single value of Batchelor number. Gul et al .…”