How is the relationship between surface roughness and mesh number determined?
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I came across a table online that shows the relationship between the surface roughness of stainless steel seamless tubes and their grit levels: 1.400 grit corresponds to Ra0.1–0.2μm; 2.350 grit corresponds to Ra0.2–0.3μm; 3.300 grit corresponds to Ra0.3–0.4μm; 4.250 grit corresponds to Ra0.4–0.6μm; 5.200 grit corresponds to Ra0.6–0.8μm; 6.150 grit corresponds to Ra0.8–1.6μm; 7.100 grit corresponds to Ra1.6–3.2μm； I saw that the particle size for 300 mesh is 48 μm. How is the relationship between mesh number or particle size and surface roughness determined? Is there a precise numerical relationship, or are it just empirical values?
In practical applications, it has been found that it is very difficult to achieve a surface roughness of Ra0.1–0.2 μm using domestic polishing materials with 400 grit; in the industry, polishing materials with 800 to 1200 grit are generally used to ensure such a surface roughness