Tecquipment h10 flow-measuring apparatus




ИмеTecquipment h10 flow-measuring apparatus
Дата на преобразуване21.12.2012
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източникhttp://facultad.bayamon.inter.edu/eperezd/MECN 3110 Fluids/laboratorios/Lab 4/Annex-Lab4.docx
TECQUIPMENT H10 FLOW-MEASURING APPARATUS

1.0 INTRODUCTION

The Flow-Measuring Apparatus is designed to accustom students to typical methods of measuring the discharge of an essentially incompressible fluid, whilst at the same time giving applications of the Steady-Flow Energy Equation (Bernoulli's Equation). The discharge is determined using a venturi meter, an orifice plate meter and a rotameter. Head losses associated with each meter are determined and compared as well as those arising in a rapid enlargement and a 90-degree elbow. The unit is designed for use with the TecQuipment HI Hydraulic Bench, which provides the necessary liquid service and gravimetric evaluation of flow rate.

    1. Description of Apparatus




Figure 1. Flow measuring apparatus.


The TecQuipment HI0 Flow-Measuring Apparatus is shown Figure 1. Water from the HI Hydraulic Bench enters the equipment through a Perspex venturi meter, which consists of a gradually-converging section, followed by a throat, and a long gradually-diverging section. After a change in cross- section through a rapidly diverging section, the flow continues along a settling length and through an orifice plate meter. This is manufactured in accordance with BSI042, from a plate with a hole of reduced diameter through which the fluid flows.


Following a further settling length and a right-angled bend, the flow enters the rotameter. This consists of a transparent tube in which a float takes up an equilibrium position. The position of this float is a measure of the flow rate.


After the rotameter the water returns via a control valve to the Hydraulic Bench and the weigh tank. The equipment has nine pressure tappings as detailed in Figure 2 each of which is connected to its own manometer for immediate read out.


scan0005.jpg


Figure2. Explanatory diagram of a flow measuring apparatus.


1.2 Installation and Preparation

  1. To fit the rotameter float, remove the control valve support nut, top 'U' clamp assembly and bottom pipe clips. Position the float and reassemble.

  1. Connect the supply hose from the Hydraulic Bench to the inlet of the venturi meter and secure with a hose clip. Connect a hose to the control valve outlet and direct its free end into the central hole in the Bench. Before continuing, refer to the TecQuipment HI Hydraulic Bench manual to find the method of flow evaluation by weighing.

  1. With the air purge-valve closed, close the apparatus valve fully then open it by about 1/3. Switch on the bench and slowly open its valve until the water starts to flow, allow the apparatus to fill with water then continue to open the bench valve until it is fully open. Close the apparatus valve fully. Couple the hand pump to the purge valve and pump down until all the manometers read approximately 280mrn. Dislodge entrained air from the manometers by gentle tapping with the fingers. Check that the water levels are constant. A steady rise in levels will be seen if the purge valve is leaking.

  1. Check that the tube ferrules and the top manifold are free from water blockage, which will suppress the manometer level. Ferrules blockage can be cleared by a sharp burst of pressure from the hand pump.

1.3 Routine Care and Maintenance

  1. When not in use do not allow water to stand in the apparatus for long periods. After use fully drain the apparatus and dry externally with a lint- free cloth.

  1. If the control valve shows signs of leaking, the procedure for checking and inspecting is as detailed in the TecQuipment HI Hydraulic Bench manual.

  1. If plastic manometer tubes become discolored a stain and deposit remover is available.




2.0 THEORY


scan0006.jpg

Figure 3. The steady-flow energy equation


For steady, adiabatic flow of an incompressible fluid along a stream tube, as shown in Figure 3, Bernoulli's equation can be written in the form;

(1)

Where is termed the hydrostatic head.

is termed the kinetic head ( is the mean velocity i.e. the ratio of volumetric discharge to cross-sectional area of tube).

z is termed potential head

represents the total head.

The head loss may be assumed to arise as a consequence of vortices in the stream. Because the flow is viscous a wall shear stress then exists and a pressure force must be applied to overcome it. The consequent increase in flow work appears as increased internal energy. Also, because the flow is viscous the velocity profile at any section is non-uniform. The kinetic energy







per unit mass at any section IS then greater than V2/2g and Bernoulli's equation incorrectly assesses this term. The fluid mechanics entailed in all but the very simplest internal flow problems is too complex to permit the head loss to be obtained by other than experiential means. Since a contraction of stream boundaries can be shown (with incompressible fluids) to increase flow uniformity and a divergence correspondingly decreases it, is typically negligibly small between the ends of a contracting duct but is normally significant when the duct walls diverge.


scan0007.jpg


Figure 4. Construction of the orifice meter


3.0 EXPERWENT AL PROCEDURE


With the equipment set as in Section 1.2, measurements can be taken in the following manner.


Open the apparatus valve until the rotameter shows a reading of about 10mm. When a steady flow is maintained measure the flow with the TecQuipment HI Hydraulic Bench as outlined in its manual. During this period, record the readings of the manometers in a table of the form of Figure 5. Repeat this procedure for a number of equidistant values of rotameter readings up to a maximum of approximately 220mm.



H/inlet kinetic head

Elbow

(17)




Diffuser

(16)




Rota

meter




Orifice

(14)




Venturi

(13)




(kg/s)

Weigh

tank




Rota

meter




Orifice

(11)




Venturi

(8)




T

sec




Water

W

kg




Rota

Meter

cm




Manometric Levels (mm)

I




H




G




F




E




D




C







B




A




Test

No







Figure 5 form of result table.


4.0 RESULTS AND CALCULATIONS


4.1 Calculations of Discharge


The venturi meter, the orifice plate meter and the rotameter are all dependent upon Bernoulli's equation for their principal of operation. The following have been prepared from a typical set of results to show the form of calculations.


Venturi Meter


Since ΔH12 is negligibly small between the ends of a contracting duct it, along with the Z terms, can be omitted from Equation (1) between stations (A) and (B).


From continuity


The discharge, Q = ABVB

(2)

With the apparatus provided, the bores of the meter at (A) and (B) are 26mm and 16mm respectively. Thus:- AB/AA = 0.38 and AB = 2.01 x 10-4 m2, since g = 9.81 m/s2 and pA/ρg, pB/pg are the respective heights of the manometric tubes A and B in meters, we have from Equation (2).



Taking the density of water as 1000 kg/m3, the mass flow will be




e.g. if


and


(The corresponding weigh tank assessment was 0.47 kg/s)

Orifice Meter

Between tapping’s (E) and (F) ∆H12 in Equation (1) is by no means negligible. Re-writing the equation with the appropriate symbols,










i.e. the effect of the head loss is to make the difference in manometric height (hE- hF.) less than it would otherwise be.

An alternative expression is





where the coefficient of discharge K is given by previous experience in BS1042 (1943)* for the particular geometry of the orifice meter. For the apparatus provided K is given as 0.601.

Reducing the expression in exactly the same way as for venturi meter,



=

Since with the apparatus provided, the bore at (E) is 51mm and at (F) is 20mm.








Thus


e.g. if


and


(The corresponding weigh tank assessment was o.47 kg/s)


*NB It is found that the value of C given in the 1943 BS1042 publication gives better results over the velocity range of the apparatus then the figures given in later editions and has thus been retained for use in this manual.


Rotameter


Observation of the recordings for the pressure drop across the rotameter (H)-(I) shows that this difference is large and virtually independent of discharge. Though there is a term which arises because of wall shear stresses and which is therefore velocity dependent, since the rotameter is of large bore this term is small. Most of the observed pressure difference is required to maintain the float in equilibrium and as the float is of constant weight, this pressure difference is independent of discharge.


The cause of this pressure difference is the head loss associated with the high velocity of water around the float periphery. Since this head loss is constant then the peripheral velocity is constant. To maintain a constant velocity with varying discharge rate, the cross-sectional area through which this high velocity occurs must vary. This variation of cross-sectional area will arise as the float move up and down the tapered rotameter tube.


scan0008.jpg

Figure 6. Principle of the rotameter.


From Figure 6, if the float radius is Rf, and the local bore of the rotameter tube
is 2Rt then,


= Cross sectional area

= Discharge/Constant peripheral velocity


Now δ = lθ, where 1 is the distance from datum to the cross-section at which the local bore is R, and 8 is the semi-angle of tube taper. Hence 1 is proportional to discharge. An approximately linear calibration characteristic would be anticipated for the rotameter.


scan0009.jpg


Figure7. Typical rotameter calibration curve

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