Jet impingement near the mid-chord of the gas turbine blade is treated as a flat plate. Experimental and numerical investigations are carried out for a single slot air jet impinging on flat surface for two different rectangular slots of dimension. Now, that give the velocity immediately at the exit of the slot at a given fluid height. You can then use that to find volumetric flow rate. The volumetric flow rate through an arbitrarily small area of the slot is: texdQ = v2;dx;dy/tex Integrating over a slot that is itexW/itex in width, we get.
Orifice Discharge into Free Air
An orifice is an opening with a closed perimeter through which water flows. Orifices may have any shape, although they are usually round, square, or rectangular.
Discharge through a sharp-edged orifice may be calculated from:
Q = Ca?2gh
Air Flow Through Rectangular Slot
This article provides calculation methods for correlating design, flow rate and pressure loss as a fluid passes through a nozzle or orifice. Nozzles and orifices are often used to deliberately reduce pressure, restrict flow or to measure flow rate. A definition sketch for flow through a typical multiple-opening constriction in a rectangular channel is shown in figure 16. At some upstream section (section 0), the flow is undisturbed and the flow dis tribution is governed by the channel characteristics.
where
Q= discharge, ft3/s (m3/s)
C =coefficient of discharge
a =area of orifice, ft2 (m2)
g =acceleration due to gravity, ft/s2 (m/s2)
Flow Through A Rectangular Sloth
h =head on horizontal center line of orifice, ft (m)
The coefficient of discharge C is the product of the coef- ficient of velocity Cv and the coefficient of contraction Cc. The coefficient of velocity is the ratio obtained by dividing the actual velocity at the vena contracta (contraction of the jet discharged) by the theoretical velocity. The theoretical velocity may be calculated by writing Bernoulli's equation for points 1 and 2.Thus
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V2= ?2gh
The coefficient of contraction Cc is the ratio of the smallest area of the jet, the vena contracta, to the area of the orifice.
Submerged Orifices
Flow through a submerged orifice may be computed by applying Bernoulli's equation to points 1 and 2 in figure below
Values of C for submerged orifices do not differ greatly from those for nonsubmerged orifices.