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The current communication aims to discuss the influence of MHD slip velocity on curved circular and rough flat plate under the non-Newtonian fluid is considered. MHD momentum equation is reduced to ordinary differential equation and solved analytically. Christenson Stochastic theory is used to derive the radial and azimuthal surface roughness expression. From the Stochastic theory we derived non dimensional Reynolds equation also mathematical derivations for squeeze film pressure, load and squeezing time are derived analytically. Applied numerical method to illustrate pressure, load support & response time graphically. In contrast to the smooth case, the load-carrying capacity and response time for azimuthal (radial) roughness patterns are affected by the roughness parameter. Also the impact of MHD couple stress with slip velocity provides the rise of squeeze film attributes than the case of non-magnetic, Newtonian and smaller values of slip velocity. • MHD slip velocity impact on curved plates. • Christenson Stochastic theory for surface roughness analysis. • Analytical solutions for squeeze film attributes. • Numerical methods for graphical representation. • Influence of MHD couple stress on squeeze film. [ABSTRACT FROM AUTHOR]

This study explores the effect of theoretical MHD on curved circular and flat plates using non-Newtonian lubricant. Lower flat plate is porous and rough. The Stokes theory has been used to incorporate the couple stress effects. Furthermore, Darcy law is taken into account for porous medium. Average pressure, load support and squeeze film time are determined from Christensen theory. The numerical results for bearing characteristics such as pressure, load carrying capacity and squeeze film time are plotted graphically to study the influence of curved circular and flat plate. This investigation shows that the squeeze film characteristics are higher in azimuthal roughness patterns and lower in radial patterns due to roughness parameter. In addition, MHD and couple stress boost the pressure, load support and squeezing time compared to Newtonian and non-magnetic cases. The effect of permeability of the porous layer is to decrease the load carrying capacity as it gives an easy path for the lubricant to pass through. [ABSTRACT FROM AUTHOR]