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🛢️ Calculators

Hersey Number

Calculate the Hersey number of a bearing, H = μ·N ÷ P, from the dynamic viscosity μ, the rotational speed N and the specific pressure P. The dimensionless result is the horizontal-axis variable of the Stribeck curve, which maps the lubrication regimes: very low values indicate boundary lubrication (metal-to-metal contact, high friction and wear); intermediate values, mixed lubrication; and high values, full hydrodynamic lubrication (complete film, minimum friction). Tracking the Hersey number helps keep the bearing in the hydrodynamic regime, away from contact. Enter the viscosity, the speed and the pressure.

Result

Parâmetro de Hersey e curva de Stribeck

O parâmetro de Hersey (H = μ·N ÷ P, viscosidade × velocidade ÷ pressão) é a chave para entender em qual regime de lubrificação um mancal está operando — informação capturada pela célebre curva de Stribeck, que plota o coeficiente de atrito contra o parâmetro de Hersey. A curva revela três regiões distintas. À esquerda (Hersey baixo: óleo fino, baixa rotação ou alta carga), está a lubrificação limítrofe: o filme é fino demais, as asperezas das superfícies se tocam, e quem evita o engripamento são apenas finas camadas químicas de aditivos aderidas ao metal — o atrito é alto e há desgaste. No meio, a lubrificação mista: parte da carga é suportada pelo filme, parte pelo contato das asperezas; o atrito cai até um mínimo. À direita (Hersey alto), a lubrificação hidrodinâmica plena: o filme de óleo separa completamente as superfícies, não há contato metal-metal nem desgaste, e o atrito vem apenas do cisalhamento do óleo — voltando a subir levemente com a viscosidade. O insight prático é poderoso: o ponto de menor atrito fica na transição mista-hidrodinâmica, e muitos mancais são projetados para operar à direita, no regime pleno, garantindo vida longa. Mas atenção aos transientes: na partida e parada, a rotação cai a zero, o parâmetro de Hersey despenca, e o mancal passa pela região limítrofe de alto desgaste — por isso a maioria do desgaste de um motor acontece na partida a frio. Informe a viscosidade, a rotação e a pressão.

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Film Thickness Ratio (λ)

Calculate the specific film thickness ratio (lambda), λ = h_min ÷ √(Ra₁² + Ra₂²), from the minimum lubricant film thickness h_min and the surface roughnesses Ra of the two contacting surfaces. The dimensionless result indicates the elastohydrodynamic lubrication regime: λ < 1 means direct asperity contact (boundary lubrication, high wear); 1 < λ < 3, mixed lubrication; and λ > 3, full separation of the surfaces by the oil film (full regime, long life). It is a key criterion in gear and rolling-bearing design. Enter the minimum film thickness and the surface roughnesses.

Bearing Power Loss

Calculate the power dissipated by friction in a bearing, P = T × ω, multiplying the friction torque T by the angular velocity ω (rad/s). The result, in watts, is the mechanical energy converted to heat per unit time by friction — a loss that reduces efficiency and heats the lubricant and components. This heat must be dissipated (by convection or oil circulation) to keep a safe operating temperature, since overheating degrades the lubricant and can cause seizure. Estimating the dissipated power is essential to size the cooling and the oil flow. Enter the friction torque and the angular velocity.

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Friction Torque

Calculate the friction torque in a shaft or bearing, T = μ·F·r, multiplying the friction coefficient μ by the normal force (load) F and the radius r where friction acts. The result, in N·m, is the moment friction opposes to rotation — the torque the motor must overcome just to turn the assembly, without doing useful work. Reducing friction torque (with lubrication, rolling bearings and good finishes) saves energy and lowers heating. Multiplied by the angular velocity, it gives the power dissipated by friction. Enter the friction coefficient, the force and the radius.

The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.