The present paper analyzes the static lubrication characteristics of a slider flying over a running boundary wall with arbitrary local temperature distributions using the thermo-molecular gas-film lubrication (t-MGL) equation. We obtain two approximate solutions: (i) a linearized solution when the temperature deviation is small (τW ≪1) and arbitrarily distributed, and (ii) a solution for the case with a very large bearing number (Λ → ∞). We herein numerically calculate the static lubrication characteristics and verify the validities of these two approximate solutions. Moreover, we calculate the characteristics for various temperature distributions produced by laser heating.

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