Gear pump displacement calculation

【Pump News Asia】 gear pump is to rely on the work of the pump cylinder and the meshing gear formed between the volume change and movement to transport liquid or make it booster pump. In the study of gear pump often involves the calculation of gear pump displacement. Gear pump example Gear pump overall can be divided into external and internal meshing two kinds of external gear pump gear teeth, helical, human gear and several other types of gears, generally involute tooth shape, internal gear pump circular arc A cycloidal tooth or involute tooth shape. Gear pump meshing Gear number of external gear pump The most commonly used two gear, internal gear is only one of two gears. Gear pump is suitable for conveying a variety of liquids without solid particles, Can be used as oil pump, fuel pump, infusion pump and hydraulic transmission hydraulic pump, the viscosity of liquid transport up to 5 × 105cSt Gear pump theoretical displacement and flow Theoretical displacement refers to the pump in the absence of leakage loss , The volume of liquid discharged per revolution.When the number of teeth of the two gears are the same, the theoretical displacement of the external gear pump is qth = πb / 2 (d20-a2-1 / 3t20-1 / 3b2tgbgβg) where b- - tooth width, in m; d0 - diameter of the top circle of the gear, in m; a - gear center distance in m; t0 - base circle pitch, in m; bg - helix angle on the cylindrical surface, The theoretical displacement of gear pump per revolution is: gth = 2π bm2 (z + 1-π2 / 12cos2a) 10-3 cm3 / r Where m - gear modulus, mm; z - gear teeth; a - tool pressure angle, degree. The theoretical flow of the gear pump can be pressed Formula: Qth = qthn × 10-3L / min Where n - pump speed, r / min. Considering the efficiency of the gear pump flow is instantaneous flow pump gear pump liquid volume instantaneous discharge is called the instantaneous flow rate , The external gear instantaneous theoretical flow rate is: Q'th = 2πnb (ra2 a r'2 a r2gθ2) × 10-6 L / min Where ra - round top radius, mm; r '- gear pitch Radius, mm; rg - base circle radius, mm; n - speed, r / min; b - tooth width, Bin; θ - helix angle, degree. , So 0 is variable, that is, the instantaneous flow of the pump is pulsating, its pulsation frequency. Gear pump flow pulsation (also caused by pressure pulsation) will make the gear pump noise and vibration. Flow and pressure pulsation degree and the number of teeth. Flow pulsation flow volume uneven flow coefficient ": δ0 = (Q'th max-Q ' th min) / Q'th min where Q'th max - the maximum instantaneous theoretical flow rate; Q'th min - the minimum instantaneous theoretical flow rate for an externally-meshed standard spur gear pump with an equal number of teeth and with an overlap coefficient e greater than 1 unopened unloading tank), have:. δ0 = π2ε2cos2a / 4 (z + 1) calculated as described above displacement gear pumps and flow of the Internet industry (Xiamen) Technology Co., Ltd. All authors: Asian pumps network editor: Wu Enru (QQ / WeChat:) starting: http://beng.liuti.cn/ (service hotline:)

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