Numerical Simulation of Fluid Flow and Heat Transfer on the Lubricating Surface with Micro‐Groove

Abstract

The effect of the lubricant flow in the micro‐grooves which resulted from the machining can be expressed in the flow fluid and heat transfer during the mechanical lubrication process. In this paper, a thermal lattice Boltzmann model (LBM), which consists of the heat viscous dissipation term, was proposed to investigate on the lubricants flow and heat transfer in the micro‐grooves. The heat, generated in the lubricating flowing process, was equivalent to a heat source R (x, t) within the fluid and added to the internal energy distribution function. The effect of the heat generated by the fluid on the flow and temperature field can be derived by comparing these two models. The results showed that the fluid temperature rises slower than the mainstream area on account of the vortex motion in the grooves. When the heat source is added to the function, the vortex became larger and the solid boundary was heated by the fluid. Thus, the improved thermal lattice Boltzmann method can accurately simulate the flow of lubricants.

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“…For this reason, the Cartesian IP coordinate values (x, y) and u corresponding to the neighboring fluid points NP are entered in Eq. (11). Once the coefficients are calculated, the x and y values of an IP are inserted into Eq.…”

“…The inherent advantages of the LBM, as one of the approximate solutions of the Boltzmann equation with a lower computational cost, cause the significant development of this method for simulating flows. Boltzmann's basic equations, LBM, have the power to simulate continuous and rarefied flows [9], [10], so further details of the thermodynamic imbalance behavior can be examined in this way [11], [12]. It is often used instead of the Navier-Stokes equation (NSE) because the solution of the Boltzmann equation (BE) is much simpler [13].…”