The characteristics of hydrostatic bearings can be influenced by the compensating device they use, for example, a thin-walled orifice (diaphragm). The flow through the orifice is given by a law where an ad hoc discharge coefficient appears, and, in order to guarantee the characteristics of the hydrostatic bearing, this coefficient must be calibrated. The aim of this work is to provide an accurate estimation of the discharge coefficient under specific conditions. Therefore an experimental bench was designed and a numerical model was carried out. The results obtained then by the experimental and theoretical approach were compared with the values given by the literature. Finally, the influence of the discharge coefficient on the behavior of a thrust bearing is examined.

The movement physiognomies and heat transmission of viscous dissipative Casson hybrid nanoliquid (cupric oxide CuO titania TiO2/ethylene glycol EG) and nanoliquid (titania TiO2/ethylene glycol EG) MHD flow via a wedge saturated with non-Darcy porous medium and forced convection were the focus of this inquiry. The major partial differential equalities beside with the limit conditions were condensed to dimensionless forms by spending proper similarity transformation. The follow-on system of ODEs by the matching limit conditions was elucidated numerically by way of MATLAB, bvp4c solver. The research ramifications for basic TiO2/EG and hybrid CuO–TiO2/EG nanoliquids were presented and explained in detail. The greater upsides of the Casson parameter, magnetic parameter, first and second order porous resistance parameters, the velocity increases and the temperature profile decreases. Furthermore, the thermal field strengthens porosity and Eckert number. It was also found that the Nusselt number is an enhancing function of Casson parameter wheras, greater values of magnetic parameter and porosity parameter lessen the Nusselt number.

The three-dimensional magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid over a stretching surface set into a porous medium with variable thermal conductivity and heat generation/absorption has been researched. Conservation laws of mass, momentum and energy are changed into ordinary differential equations, which are numerically dealt with by applying the fourth order Runge-Kutta integration scheme in relationship with shooting procedure. The dimensionless velocity, temperature, skin friction coefficient and the local Nusselt number inside the boundary layer are processed and examined through tables and illustrations for various physical parameters. The numerical outcomes obtained for the specific case are sensible in great concurrence with the existing results. Results indicate that momentum boundary layer reduces for the Hartman number and Casson fluid parameter. Temperature is found as an enlightened function for the heat generation and thermal conductivity parameter.

The topic of two-dimensional steady laminar MHD boundary layer flow across a wedge with non-Newtonian hybrid nanoliquid (CuO-TiO2/C2H6O2) with viscous dissipation and radiation is taken into consideration. The controlling partial differential equations have been converted to non-linear higher-order ordinary differential equations using the appropriate similarity transformations. It is demonstrated that a number of thermo-physical characteristics govern the transmuted model. The issue is then mathematically resolved. When the method’s accuracy is compared to results that have already been published, an excellent agreement is found. While the thermal distribution increases with an increase in Eckert number, radiation and porosity parameters, the velocity distribution decreases as porosity increases.

The convective three-dimensional magnetohydrodynamic (MHD) boundary layer transport of Casson liquid by an unsteady stretchable sheet set in a permeable medium with variable thermal conductivity is researched. Conservation laws of the mass, the momentum and the energy are changed into ordinary differential equations, which are numerically dealt with fourth order Runge-Kutta integration scheme in relationship with shooting procedure. The dimensionless velocity, temperature, skin friction coefficient and the local Nusselt number inside the boundary layer are processed and examined through graphs and tables for various parameters that portray the flow. The numerical outcomes got for the specific case are sensibly in great concurrence with the existing results.