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˙ is the shaft power (units of power, or energy/time). [ 3 ] These laws assume that the pump/fan efficiency remains constant i.e. η 1 = η 2 {\displaystyle \eta _{1}=\eta _{2}} , which is rarely exactly true, but can be a good approximation when used over appropriate frequency or diameter ranges.
Hydraulic power is still needed though, as 1 500 to 5 000 W are required to push mud through the drill bit to clear waste rock. Additional hydraulic power may also be used to drive a down-hole mud motor to power directional drilling. [22] When using SI units, the equation becomes coherent and there is no dividing constant.
Volumetric flow rate should not be confused with volumetric flux, as defined by Darcy's law and represented by the symbol q, with units of m 3 /(m 2 ·s), that is, m·s −1. The integration of a flux over an area gives the volumetric flow rate. The SI unit is cubic metres per second (m 3 /s). Another unit used is standard cubic centimetres per ...
V is velocity (in ft/s for US customary units, in m/s for SI units) k is a conversion factor for the unit system (k = 1.318 for US customary units, k = 0.849 for SI units) C is a roughness coefficient; R is the hydraulic radius (in ft for US customary units, in m for SI units) S is the slope of the energy line (head loss per length of pipe or h ...
The turbine flowmeter (better described as an axial turbine) translates the mechanical action of the turbine rotating in the liquid flow around an axis into a user-readable rate of flow (gpm, lpm, etc.). The turbine tends to have all the flow traveling around it. The turbine wheel is set in the path of a fluid stream.
A hydraulic pump is a mechanical source of power that converts mechanical power into hydraulic energy (hydrostatic energy i.e. flow, pressure). Hydraulic pumps are used in hydraulic drive systems and can be hydrostatic or hydrodynamic. They generate flow with enough power to overcome pressure induced by a load at the pump outlet.