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🗜️ Calculators

Compression Ratio (Refrigeration)

Compute a refrigeration system's compression ratio, rc = Pcondensation/Pevaporation, the ratio of the compressor's absolute discharge to suction pressures. High ratios (above ~10) lower volumetric efficiency, raise the discharge temperature (risking oil and refrigerant degradation) and may require two-stage compression — common at low temperatures and in cryogenics. Enter the condensation and evaporation pressures (absolute).

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Compression ratio (refrigeration)

The compression ratio rc = Pcondensing/Pevaporating (absolute pressures) is one of the numbers that most condition the design and the operation of a refrigeration system. It climbs when evaporation has to happen at very low temperatures (the evaporating pressure drops) or when condensing happens at high temperatures (hot days, fouled condenser). And high ratios bring three cascading problems: the volumetric efficiency of the compressor falls (more re-expansion of the clearance volume), cutting capacity; the discharge temperature soars, which can carbonize the lubricating oil and break down the refrigerant (forming acids that corrode the system); and the COP worsens, burning more energy. Above a ratio of roughly 8 to 10, engineering turns to two-stage (or multistage) compression with intercooling between the stages — standard practice in frozen-storage rooms, industrial freezers and, taken to the extreme, in cryogenics and gas liquefaction, where cascades of several different refrigerants get chained together. Enter the absolute condensing and evaporating pressures.

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Calculate the reduction ratio of a crusher or mill, RR = F ÷ P, dividing the feed size F by the product size P (usually F₈₀/P₈₀ or crusher openings). The dimensionless result shows how many times the material was reduced in size in one stage. Each equipment type has a typical reduction ratio range: jaw crushers 4-7, cone crushers 5-8, ball mills up to 100 or more. Since each stage has a limited ratio, reducing large blocks to fine powder requires several stages in series, whose product of ratios gives the total reduction. Enter the feed and product sizes.

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Calculate the base circle diameter of an involute gear, d_b = d·cos(φ), from the pitch diameter d (mm) and the pressure angle φ (degrees). The base circle is the circle from which the INVOLUTE tooth profile is generated — the standard profile of modern gears. The involute is the curve traced by the tip of a string unwinding from a cylinder: that cylinder is exactly the base circle. The entire active tooth profile (the part that actually transmits force) is ABOVE the base circle; below it there is no involute profile. The base diameter is fundamental in gear geometry because it defines the involute profile and, with it, key properties: the LINE OF ACTION (the line tangent to both base circles of the mesh, along which tooth contact travels, always in the same direction — why involute gears transmit uniform motion), the base pitch and the contact ratio. The relation d_b = d·cos(φ) shows that the pressure angle is the angle between the line of action and the tangent to the pitch circles. It is an essential parameter in designing and manufacturing (generating) involute gears. Enter the pitch diameter and the pressure angle.

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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.