4.
EXPERIMENTS
        4.1 Cussons P6231 Bernoulli's Apparatus allows two experiments to be
        conducted
        Experiment 1 Verification of Bernoulli's Equation
        Experiment 2 Demonstration of Laminar and Turbulent Flow
        4.2 Equipment Preparation
        Position the Inlet Head Tank and the Variable Head Outlet Tank on the mounting studs
        provided on the Hydraulic Bench working surface and connect the Bernoulli Apparatus
        between them using the union connections. Connect the Bench Feed hose to the Inlet Head
        Tank and attach an overflow hose to the overflow outlet of the Inlet Head Tank. Attach the
        Dye Reservoir to the top of the Inlet Head Tank using the attached mounting clip and ensure
        that the spring clip is attached to the rubber hose so that ink cannot flow to the injector
        needle. Fill the ink reservoir with a water miscible dye, washable blue ink is recommended.
        Make sure that the dye is free to flow through the dye injector needle when the spring clip is
        adjusted. If a blockage of the ink does occur in the injector needle, this is usually caused by
        a failure to wash out all the ink when the equipment has been previously used. The
        blockage can normally be rectified by flushing the dye injection system thoroughly with clean
        water. Remove the brass blanking plug from the side of the Inlet Head Tank and insert the
        Dye Injector Needle so that the tip protrudes approximately 20mm into the transparent
        Bernoulli Test section. In order to record the height of the water level in each of the
        manometer tubes, a sheet of paper should be positioned as in figure 1.
        EXPERIMENT 1 - VERIFICATION OF BERNOULLI'S EQUATION
        Aim. To verify Bernoulli's equation by demonstrating the relationship between pressure
        head and kinetic head.
        Equipment Preparation. Prepare the equipment to the following specification
Inlet                 P6103 Constant Head Inlet Tank with overflow extension fitted.
Test Section          P6231 Bernoulli's Apparatus
Exit                  P6104 Variable Head Outlet Tank
Manometer             Insert a sheet of graph paper 440mm high by 325mm wide behind the manometer
                      tubes to provide an easy method of obtaining a record of the results.
        Experimental Procedure.
            1. Start the pump and initiate a flow of water through the test section. Regulate the
               flow to the inlet head tank so that there is a small but steady overflow from the
               reservoir. Adjust the swivel tube of the outlet tank to obtain a differential head.
            2. Measure the height of the water level in each manometer tube by marking the paper
               positioned behind the tubes and record on the test sheet. Measure the time taken to
               fill the bench measuring tank from zero to 10 litres and record.
            3. Increase the differential head between the inlet and outlet head tanks by 50mm
               increments, until the water level in the centre manometer tubes drops off the scale.
               For each condition record the heights of liquid in the manometer tubes by once
               again marking the paper positioned behind the tubes and measure the flow rate.
        Results and Analysis.
            1. Record the results on a copy of the result sheet provided.
            2. Calculate the flow rate for each set of results.
            3. For each set of results calculate at the cross-section adjacent to each manometer
               tube, the flow velocity and the Reynolds number.
            4. Plot a graph of head against distance and also H + V2 / 2g against distance.
        EXPERIMENT 2 - DEMONSTRATION OF LAMINAR AND TURBULENT FLOW
        Aim. To demonstrate visually laminar (or streamlined) flow and its transition to turbulent flow
        at a particular velocity.
        Equipment Preparation. Prepare the equipment to the following specification
Inlet                 P6103 Constant Head Inlet Tank with overflow extension fitted.
Test Section          P6231 Bernoulli's Apparatus
Exit                  P6104 Variable Head Outlet Tank
Manometer             Insert a sheet of graph paper 440mm high by 325mm wide behind the manometer
                      tubes to provide an easy method of obtaining a record of the results.
Dye injection         Fitted
        Experimental Procedure.
            1. Start the pump and initiate a flow of water through the test section. Regulate the
               flow to the inlet head tank so that there is a small but steady overflow from P6103.
               Adjust the swivel tube of the outlet tank to obtain a differential head of 20mm.
            2. Raise the dye reservoir to the top of its column (the spring loaded bracket can be
               freed by squeezing the two ends together between the fingers) and open the tube
               clip.
            3. Open the small cock on the base of the reservoir to permit dye to flow from the
               nozzle at the entrance to the channel. This will be visible as a coloured stream
               along the passage. If the dye accumulates around the nozzle, increase the velocity
               of flow in the passage and/or check the flow from the dye reservoir.
            4. Under laminar flow conditions the stream will be visible along the whole length of
               the passage. If this is not so, reduce the flow until a continuous stream of dye is
               visible along the passage.
            5. Steadily increase the flow rate by increasing the total differential head, while
               carefully observing the condition of the fluid in the channel. When instability occurs
               leading to the break-up of the dye stream, note the position in the passage and
               measure the corresponding value of the flow rate.
   6. Continue to maintain close observation of the passage while further increasing the
      flow rate until the whole system is turbulent with no visible dye stream at any point.
   7. Reduce the flow rate to the point at which turbulence disappears and stable laminar
      flow conditions are regained along the whole passage. Measure the flow rate and
      position of the last traces of turbulence.
   8. Continuous manipulation of the flow rate while observing the flow conditions may be
      conducted as a useful visual aid to the appreciation of laminar and turbulent flow
      conditions.
   9. Switch off the pump and allow the apparatus to drain back to the main reservoir.
       Note : Continuous use of the dye will tint the circulating water. When this becomes
       severe the water should be changed. Do not use water containing dye in other
       apparatus
   10. Completely clean all the apparatus of any trace of water containing dye before
       returning the apparatus to store.
Results and Analysis.
   1. Record the results on a copy of the result sheet provided.
   2. Calculate the flow rate for each set of results.
   3. For each set of results calculate at the cross-section adjacent to each manometer
      tube, the flow velocity and the Reynolds number.
   4. For a set of results in which the flow changed from laminar to turbulent determine
      the higher critical Reynolds number.
                                                 RESULTS SHEET P6231 BERNOULLI'S APPARATUS
                                        EXPERIMENT 1 VERIFICATION OF BERNOULLI'S EQUATION
                        Results and Analysis
  Water Temperature                                                      3                             Vicosity of Water
         o                                       Density of Water kg/m                                             2
          C                                                                                                 Ns/m
   Quantity of Water                             Time to Collect Water                               Volumetric Flow Rate
    Collected litres                                      sec                                            Q litres/min
                         1       2         3               4                  5       6       7               8              9       10      11
  Tapping Number
                 2     102.56   90.11    77.66           65.22               52.77   40.32   52.77          65.22           77.66   90.11   102.56
  Flow Area mm
  Static Head mm
  Velocity m/s
  Reynolds Number
Observations
                                                 RESULTS SHEET P6231 BERNOULLI'S APPARATUS
                                        EXPERIMENT 1 VERIFICATION OF BERNOULLI'S EQUATION
                        Results and Analysis
  Water Temperature                                                      3                             Vicosity of Water
         o                                       Density of Water kg/m                                             2
          C                                                                                                 Ns/m
   Quantity of Water                             Time to Collect Water                               Volumetric Flow Rate
    Collected litres                                      sec                                            Q litres/min
                         1       2         3               4                  5       6       7               8              9       10      11
  Tapping Number
                 2     102.56   90.11    77.66           65.22               52.77   40.32   52.77          65.22           77.66   90.11   102.56
  Flow Area mm
  Static Head mm
  Velocity m/s
  Reynolds Number
Observations