Friction Force of the Sliding Surface with Pores Having a Semicircular Cross Section Form

Friction Force of the Sliding Surface with Pores Having a Semicircular Cross Section Form

Leonid Burstein (Kinneret Academic College, Tzamah, Israel)
DOI: 10.4018/IJSEIMS.2016070101
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Abstract

A theoretical solution of the mathematical model is represented for obtaining the hydrodynamic pressure and friction force of the non-contacting sliding surfaces with pores having a semicircular cross section form. The expressions for the hydrodynamic pressure, shear stress, and friction force were obtained for a control cell that includes the inside and outside of the pore areas. The pore radii have been studied in the range from 0.5µm to about 18 µm. The parametric study of the pore performance is obtained with the specially written MATLAB program used the theoretically defined expressions. It is found that better performance in terms of positive hydrodynamic pressure and optimal friction forces can be achieved with proper selection of pore and outside of pore sizes. Better hydrodynamic pressures were observed at the gap-pore radii and cell-pore radii ratios range between 0.5 … 1 and 2.5 … 5, respectively. The maximal friction forces are achieved at pore radii values about 0.64 of the cell dimensions, which correspond to a r1 range of about 5 … 13 µm.
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2. Physical Model And Government Equations

Assume that the pores are arranged regularly (Fig.1,a) and the distance 2r1 between pores is sufficiently large so that the interaction between the pores can be neglected. Therefore, only one pore with the adjoining part, called the control cell, should be studied. A cross-section of the control cell on the sliding surface and opposite non-porous surface is shown in Fig.1b; each pore has radius r0; the gap between surfaces equals h0; and the direction of the friction force is opposite to the lower surface motion.

Figure 1.

Pore cell geometry: regular pore arrangements, computer produced image (a); semicircular profile of the pore (b)

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