Magneto-hydrodynamics of couple stress lubricants in combined squeeze and shear in parallel annular disc viscous coupling systems

This article presents predictive analysis of load-carrying capacity, tractive efficiency and response time of parallel annular discs intervened with a film of lubricant under combined shear and squeeze film motions. This configuration represents operational characteristics of viscous coupling systems. In particular, the case of viscous dampers for tractive torque generation and distribution in all-wheel-drive off road vehicles is studied. Various forms of lubricant behaviour, from idealised Newtonian to that of non-Newtonian silicone-based fluids and incompressible isothermal electrically conducting couple stress fluids, subjected to a magneto-hydrodynamic field are studied. The solution for the magneto-hydrodynamics includes combined solution of modified Reynolds equation and Stoke’s micro-continuum for couple stress fluids in squeeze and shear with rotational fluid inertia, an approach not hitherto reported in the literature. It is shown that in general magneto-hydrodynamic couple stress fluids enhance the load-carrying capacity of the contact and inhibit the incidence of thin films, which can result in direct contact of surfaces. Rotational inertia decreases the load-carrying capacity, although in general the magneto-hydrodynamic fluids show better load-carrying capacity and tractive efficiency than the other alternatives. However, they exhibit a lower response time under the assumed isothermal condition. Nevertheless, the magneto-hydrodynamic fluids are best suited to applications in viscous coupling systems because of their controllability.

[1]  D. Moore A review of squeeze films , 1965 .

[2]  B. Hamrock,et al.  Fundamentals of Fluid Film Lubrication , 1994 .

[3]  H. Hashimoto Squeeze Film Characteristics Between Parallel Circular Plates Containing a Single Central Air Bubble in the Inertial Flow Regime , 1995 .

[4]  T. Ariman,et al.  Applications of microcontinuum fluid mechanics , 1974 .

[5]  James D. Lee,et al.  Constitutive equations of Micropolar electromagnetic fluids , 2011 .

[6]  J. Lin Magneto‐hydrodynamic squeeze film characteristics between annular disks , 2001 .

[7]  Homer Rahnejat,et al.  Analysis of Handling Characteristics of All-Wheel-Drive Off-Road Vehicles , 2008 .

[8]  N. C. Das A study of optimum load-bearing capacity for slider bearings lubricated with couple stress fluids in magnetic field , 1998 .

[9]  Homer Rahnejat,et al.  Non-Newtonian mixed elastohydrodynamics of differential hypoid gears at high loads , 2014 .

[10]  Teoman Ariman,et al.  Couple Stresses in Fluids , 1967 .

[11]  S Latham,et al.  A reference book of driving cycles for use in the measurement of road vehicle emissions , 2009 .

[12]  C. Hsu,et al.  Magneto-hydrodynamic squeeze film characteristics between circular discs including rotational inertial effects , 2008 .

[13]  V. K. Agrawal Inertia Effects in Hydromagnetic Inclined Slider Bearing , 1970 .

[14]  J. Lin,et al.  Combined effects of non-Newtonian rheology and rotational inertia on the squeeze film characteristics of parallel circular discs , 2008 .

[15]  A. Eringen Microcontinuum Field Theories , 2020, Advanced Continuum Theories and Finite Element Analyses.

[16]  J. B. Shukla Hydromagnetic Theory for Squeeze Films , 1965 .

[17]  E. R. Maki,et al.  The magnetohydrodynamic squeeze film , 1964, Journal of Fluid Mechanics.

[18]  E. R. Maki,et al.  Magnetohydrodynamic lubrication flow between parallel plates , 1966, Journal of Fluid Mechanics.

[19]  Homer Rahnejat,et al.  Effect of cylinder deactivation on the tribo-dynamics and acoustic emission of overlay big end bearings , 2014 .

[20]  G. Ramanaiah,et al.  Squeeze films and thrust bearings lubricated by fluids with couple stress , 1978 .

[21]  T. Ariman,et al.  Microcontinuum fluid mechanics—A review , 1973 .

[22]  C. M. Rodkiewicz,et al.  Nonuniform Magnetic Field Effects in MHD Slider Bearing , 1972 .

[23]  D. C. Kuzma Magnetohydrodynamic Squeeze Films , 1964 .

[24]  H. Rahnejat,et al.  Squeeze film lubrication of coupled stress electrically conducting inertial fluids in wide parallel rectangular conjunctions subjected to a magnetic field , 2014 .

[25]  A. Eringen,et al.  Microcontinuum Field Theories II Fluent Media , 1999 .

[26]  J. L. Gupta,et al.  An inclined porous slider bearing with a transverse magnetic field , 1979 .

[27]  A. Eringen,et al.  THEORY OF MICROPOLAR FLUIDS , 1966 .

[28]  A. Cemal Eringen,et al.  Theory of Micropolar Elasticity , 1999 .

[29]  P. Vimala,et al.  Magnetohydrodynamic Squeeze Film Characteristics Between Parallel Circular Plates Containing a Single Central Air Bubble in the Inertial Flow Regime , 1999 .

[30]  S. K. Mohan,et al.  Optimisation of AWD off-road vehicle performance using visco-lock devices , 2008 .

[31]  J. Lin,et al.  Analysis of magneto‐hydrodynamic squeeze film characteristics between curved annular plates , 2004 .