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⚙️ Calculators

Steam Turbine Power

Calculate the mechanical power generated by a steam turbine, P = ṁ × (h₁ − h₂), multiplying the steam mass flow (kg/s) by the enthalpy drop between turbine inlet and outlet (kJ/kg). The result, in kW, is the shaft power delivered to the generator, accounting for the expansion of high-pressure, high-temperature steam down to condenser pressure. It is the core calculation in sizing thermal power and cogeneration plants: the larger the enthalpy drop, the more power per kg of steam. Enter the steam flow and the inlet and outlet enthalpies.

Result

Potência de turbina a vapor

A turbina a vapor converte a energia do vapor em trabalho mecânico de eixo, que aciona o gerador elétrico. A potência produzida é simplesmente a vazão de vapor multiplicada pela energia que cada quilo entrega ao atravessar a turbina: P = ṁ × (h₁ − h₂). A vazão mássica ṁ (kg/s) é quanto vapor passa por segundo; (h₁ − h₂) é a queda de entalpia, a diferença entre a entalpia do vapor na entrada (alta pressão e temperatura) e na saída (baixa pressão, rumo ao condensador), em kJ/kg. O produto dá a potência em kW. Tudo conspira a favor de uma queda de entalpia maior: vapor de entrada mais quente e a maior pressão possível, e pressão de saída a mais baixa possível (vácuo no condensador) — cada um amplia o salto de entalpia disponível e, portanto, a potência por kg de vapor. Na prática multiplica-se ainda pelo rendimento mecânico/elétrico. É o cálculo de partida no projeto de termelétricas e plantas de cogeração. Informe a vazão de vapor e as entalpias de entrada e saída.

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Specific Steam Consumption

Calculate the specific steam consumption (steam rate) of a turbine, SSC = 3600 ÷ Δh, dividing 3600 (s/h) by the available enthalpy drop in the turbine (kJ/kg). The result, in kg/kWh, gives how many kilograms of steam are needed to generate one kilowatt-hour. The lower the specific consumption, the more efficient the conversion: larger enthalpy drops (hotter steam and greater expansion) cut the steam needed per kWh. It is a practical indicator to compare turbines and estimate the steam flow required for a given power. Enter the available enthalpy drop.

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Rankine Cycle Efficiency

Calculate the thermal efficiency of a Rankine cycle, η = (w_turbine − w_pump) ÷ q_boiler × 100%, dividing the net work (turbine work minus pump work) by the heat added in the boiler, all in kJ/kg. The Rankine cycle is the basis of steam power plants: water is pumped, heated and vaporized in the boiler, expands through the turbine producing work, then condenses. The result, in %, measures how much boiler heat becomes useful work; real cycles run 30–45%. Enter the turbine work, the pump work and the boiler heat.

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Solids Mass Flow (Dredge)

Calculate the mass flow of solids transported by a dredge or pipeline, ṁ_s = Q·C_v·ρ_s, from the total slurry flow Q (m³/s), the solids volumetric concentration C_v (fraction) and the solids density ρ_s (kg/m³). Solids mass flow is the MASS of useful material transported per unit time (kg/s, or tonnes per hour), the production indicator used when TONNAGE matters — the typical case of ore transport by pipeline (measured in t/h of dry ore) and mineral processing. It is the product of three factors: the slurry flow (pump capacity), the solids concentration (how 'loaded' the slurry is) and the solids density (iron ores, for example, are very dense, ~5000 kg/m³, so little volumetric concentration already gives high tonnage). Mass flow, integrated over time, gives the total transported tonnage, the basis of billing and operational mass balance. Optimizing it — maximizing tonnage per unit pumping energy — is the central goal of pipeline operation, which moves hundreds of millions of tonnes of ore per year over long distances far more energy-efficiently than trucks or trains. Enter the slurry flow, the volumetric concentration and the solids density.

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.