1. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Spray Pattern Simulation Model for Standardisation of Boom Behaviour Tests Ir LEBEAU F Ir BOUCHAT X Ir RUTER R Prof DESTAIN M-F

2. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Context Repartition: criterion for sprayer performance Quality affected by boom movements Need of a test methodology of the repartition in dynamic conditions Longitudinal PitchVertical Roll Yaw Transversal

3. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 State of the art Many dynamic test methodologies are used : field trials, bump tests, shakers, modal analysis, FE Analysis, Multi-body analysis... Spray distribution evaluation relies either on measurements or simulation Simulation model are often preferred

4. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Consensus on models The individual spray distribution of the nozzles must be taken into account The spray repartition can be calculated as a sum of static spray distribution

5. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Needed General analytical description of the model Global procedure description Validation in realistic controlled conditions Discussion of the limitations

6. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Static distribution measurements 24 1-D patternator measurements at 7°30’ interval angles.

7. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Static distribution measurements Results is a sinogram

8. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Static distribution measurements 2-D distribution reconstruction using filtred back-projection

9. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Static distribution measurements Results of 2-D distribution reconstruction

10. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 3-D Distribution matrix The distributions were measured at 3 heights

11. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 3-D Distribution matrix Exponential decreasing law for other heights

12. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 3-D Distribution matrix Computation of the flow for 25 mm² cells on a 6.25 square plane at 41 heights between 0 and 2 m. Results are stored in a 500*500*41 3-D matrix D(x,y,z) used as input to the dynamic repartition model

13. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 3-D Distribution matrix

14. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Dynamic repartition model Release velocity caused by boom movement and atmospheric parameters are neglected. Assuming y motion negligible, movement equation is expressed as x y z

15. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 The time spent at a particular location is the partial derivative of the movement equation Dynamic repartition model

16. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Dynamic repartition model Repartition isa function of time spent by the nozzle at each successive position Assuming the spray distribution is constant for an uniform height z, repartition is given by

17. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Dynamic repartition model The global repartition is the sum of each height influence

18. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Experimental procedure for model validation 1 3 4 5 2 6

19. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Results: Uniform speed and height

20. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Results: Variable speed, uniform height

21. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Results Uniform speed, variable height

22. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Conclusions Alterations of the lateral spray distribution Nozzle speed effect on longitudinal distribution Height effect is well predicted but repartition measurement method shows limitations

23. Unité de Mécanique et Construction Gembloux Agricultural University 30 August, 2015 Discussion The model is promising (CV) Structure based on sound physical description Easy implementation using standard experimental set-up and software Precision needed for simulation has to be discussed Need of more data to propose a standard