with reference to the drawings , fig1 illustrates a flowmeter 10 using a slotted orifice 12 constructed according to the teaching of the present invention . flowmeter 10 includes a conduit section 14 , which may consist only of the slotted orifice , having the same inner cavity diameter as the conduit or pipe 15 and 16 carrying a flowing fluid . flowmeter 10 is applicable to either compressible or incompressible fluid , and generally homogeneous or non - homogeneous fluid applications . the direction of the flow is indicated by arrows 18 and 20 upstream and downstream of flowmeter 10 , respectively . portions of conduit sections 15 and 16 are shown in cross - section to illustrate the relative positioning of slotted orifice 12 with respect to pressure sensors 22 and 23 and temperature sensors 24 and 25 . slotted orifice 12 is installed generally transversely so that the plane of slotted orifice 12 is generally perpendicular to the fluid flow . in this manner , the fluid is forced to flow through the plurality of openings in slotted orifice 12 , thus creating a pressure and temperature differential across slotted orifice 12 . the plurality of openings in slotted orifice 12 are shown more clearly in fig2 and are described in more detail below . the pressure and temperature measurements obtained by sensors 22 - 25 are then provided to a computer 27 , which is programmed to compute the flow rate of the fluid from the measurements using conventional equations as known in the field of flow rate measurement . alternatively , slotted orifice 12 may be housed independently in a short section of conduit or between flanges of conduit sections 15 and 16 as shown . replacing conventional flow impedance devices merely constitutes dropping the slotted orifice 12 into place and securing it therein , without having to replace pressure and temperature sensors 22 - 25 . it is also important to note that certain known equations for computing the flow rate do not require a knowledge of the temperature differential across the flow impedance device , and therefore do not require temperature sensor 24 . this does not prevent the advantageous use of slotted orifice 12 , as it may be used in any flowmeter that uses a flow impedance device to create a pressure differential to compute either a mass or volume flow rate . referring to fig2 a preferred geometry of slotted orifice 12 is shown . slotted orifice 12 is embodied in a circular plate 30 , the thickness of which may vary depending upon conduit diameter and upstream flow conditions . for example , plate thickness may vary between 1 / 8 &# 34 ; to 3 / 8 &# 34 ; for a 2 &# 34 ; diameter conduit . circular plate 30 is preferably constructed of rigid and non - corrosive materials that are commonly used for this purpose in conventional flow impedance devices . circular plate 30 comprises a plurality of slots or elongated openings arranged in a predetermined pattern and geometry . conceptually , circular plate 30 may be divided into an inner circle 32 and an outer ring 34 , where the radius of inner circle 32 is one half of the radius of circular plate 30 . circular plate 30 is therefore divided into two sections where dashed line 36 indicates the division line . from simple geometry , the area of inner circle 32 is then one - third of the area of outer ring 34 . as shown in fig2 inner circle 32 encompasses eight slots and outer ring 34 has 24 identical size and geometry slots , realizing a one to three ratio . in other words , the total area of the slot openings in inner circle 32 is one - third that of the slot openings in outer ring 34 , so that the slot areas of each respective section are directly proportional to the surface areas of inner circle 32 and outer ring 34 . in this arrangement , a substantially uniform flow field is obtained across slotted orifice 12 . the geometry described above can be expanded to other arrangements in which the area of circular plate 30 is subdivided into multiple subsections , and each subsection has the number of slots proportional to its area with respect to other subsections . for example , circular plate 30 may be divided conceptually by three concentric circles into an outermost ring , a middle ring and an inner circle , where the area of the outermost ring is five times the area of the inner circle and the area of the middle ring is three times the area of the inner circle . a possible arrangement to obtain a uniform flow field would be to provide an inner circular row of x number of slots , 3x slots in the next circular row , and 5x slots in the outermost circular row . furthermore , although the geometry of slotted orifice 12 is shown for a conduit having a circular cross - section , it is contemplated that the slot geometry and arrangement pattern may be modified accordingly to conform with the shape of the conduit to achieve relatively the same effect . in addition , for certain applications the slots could be long vertical slits of equal length . referring to fig3 an alternate embodiment 40 of the slotted orifice is shown . slotted orifice 40 comprises a circular plate 41 having a series of slots 42 - 46 . slots 42 - 46 are vertical rectangular openings of equal width and length generally arranged in a row . slotted orifice 40 is suited to certain applications such as flow rate measurement of non - homogenous fluids . as shown in fig2 the preferred shape of the slots in circular plate 30 is rectangular with semi - circular ends , although other similar shapes are contemplated . for example , the slots may be rectangular with square ends , or generally oblong in shape as long as all slots have substantially the same properties . for example , all slots should pass fluid at generally the same rate and cause substantially the same pressure drop . additionally , the hydraulic diameter of all slots should be equal . the hydraulic diameter is a numeric figure indicative of the characteristic length of flow for an opening , and is equal to four times the area of the opening divided by the wetted perimeter of the opening . therefore , the hydraulic diameter for the slots shown can be expressed as : ## equ1 ## where hd is the hydraulic diameter , and w and l are the width and length of the slots , respectively . optimally , the slot shape is long and narrow , thus making the optimal hd equal 2w . the performance equation of slotted orifice 12 of the preferred embodiment of the present invention may be expressed by : ## equ2 ## where ## equ3 ## and v is the volumetric flow rate , c d is the discharge coefficient , a slots is the combined area of the slots , a pipe is the cross - sectional area of the pipe or conduit , ρ is the fluid density , and δp is the pressure differential across slotted orifice 12 . the performance equation may be written in terms of the mass flow rate : ## equ4 ## where m is the mass flow rate . although the present invention has been described in detail , it should be understood that various changes , substitutions and alterations can be made thereto without departing from the spirit and scope of the present invention as defined by the appended claims .