The Polar Equation from Butterfly Sprinkler Heads
This project aims to create the polar equations from the relation of the points on the centre line of the water twisted from Butterfly sprinkler heads. The water path includes inner rim, outer rim and centre line laying in the middle of the water path is used Rhombus’s property. The diagonals are perpendicular bisectors of each other to create the centre line. Then we create the polar equation of the centre line of water that twists from 4 types of the Butterfly sprinkler heads: edge frame, curve frame, STL and STL rotary. The polar equation of outer rim and inner rim is created by adding and removing the “ f ” value ( ; is the distance between the outer rim and the centre line, and is the geometric sequence that is ) of the coefficient (a) of the polar equation respectively. The results show that the formal equation of the centre line is which can explain the different properties of Butterfly sprinkler heads. If “ f ” value is increasing the water path and the blade will be wider that affects droplets distributing thoroughtly. Furthermore the relationship between the volume of water and the radius of water distribution can be processed to find the least time that can increase the appropriate moisture level of soil.
Auto-control water consumption System
By saving water you are saving lives including yours. All of us know that water is an invaluable and priceless gift. We can’t dispense it. The consumption of water differentiate from one country to another, we may use over quantities of water, in other countries people are thirsty living under the limits of poverty .It’s very important for agriculture, industry even human animals and plants can’t live without water. But people are careless, they consume a huge quantities of water in shower, washing car, gardening…. So that we thought to make this brilliant project F.W.S (frugal water system). This system is connected with you mobile phone by an application that shows you your water consuming and makes you control it. It record in every minute your consumption. This control system helps us to preserve water for the future generation. Besides, it tells you the price that you will pay and warns you if you pass the quantity of water that you should consume in a defined period. So you can also save your water bill. So we have to make this project works to let every person know that he is doing squandering water. With this system we can save planet resources of water. Finally, the water is as precious as our lives and with frugal water system, we will be able to monitor and control our water consumption. Also be alerted in the event of a leak or flooding. This project helps us to preserve water, reduce and avoid over-consumption. So we have to stand together against water squandering by making this project works.
Parallax Modelling of OGLE Microlensing Events
We present a study using microlensing event data from the Optical Gravitational Lensing Experiment (OGLE), recorded in the period 2002-2016 from the Galactic bulge. Our two algorithms are based on the standard point-source-point-lens (PSPL) model, and on the less conventional parallax model respectively. The optimal fit was found for each sample event in the chi-square optimization algorithm, along with the best fit parameters. Out of the 7 best fits, 4 show strong parallax effect. The microlensing fit parameters were then cross-matched with proper motion data from the Naval Observatory Merged Astrometric Dataset (NOMAD), to obtain lens mass estimation for four events. These were estimated to 0.447 solar masses, 0.269 solar masses, 0.269 solar masses and 17.075 solar masses respectively. All masses were within the microlensing mass interval for lenses found in similar studies. In this study, we conclude that the parallax model often better describe long events and demonstrate the importance of utilizing both PSPL fits and parallax fits, instead of only the PSPL model. By varying only 2 of the 7 parallax microlensing parameters instead of all simultaneously, we obtain plausible values for lens direction and lens transverse velocity: a method to investigate microlensing lens properties with no regard to its luminosity. In addition, we also present spectral classes of the NOMAD objects associated with each event, which is vital for future investigations to further confirm mass estimations. We present strategies to further enhance the algorithm to analyze the microlensing event light curve to better find deviations. We also conclude that our double model can potentially unveil the presence of dim lens objects (MACHOs) such as brown dwarfs, exoplanets or black holes.