Application of Enginerring Principles Coursework

Application of Enginerring Principles - Coursework Example Due to centrifugal force, clean mud overflows, and the waste particles (together with some amount of fluid) enters the mesh through the bottom outlet of the hydrocyclone. The vibrating mesh further sieves the unwanted particles out, leaving only the pure mud suspension to pass through it. Hence pure mud suspension is obtained. The efficiency of the mud cleaner and the range of sizes of the waste particles that may be sieved out, depends on many factors like cone angle, diameter of the inlet, diameter of overflow pipe, diameter of the bottom outlet of hydrocyclone, the fineness of the mesh, vibration characteristics of the mesh, viscosity and density of the fluid, density and size of the waste particles etc. b) The three components where angular motion is involved are: hydrocyclone, pump, drill pipe. Hydrocyclone Here, the centrifugal force that is a characteristic of a system having angular motion is utilized to separate coarser and finer suspended particles. In hydrocyclones, viscou s forces are also produced by the angular motion. Because of the difference in densities of the suspended waste particles and the fluid, there will be difference in the centrifugal forces each of these subjected to. This difference in the centrifugal force is responsible for the separation of coarser waste particles and finer (required) particles that are suspended in the fluid. ... ncing has to be done properly, bearings have to be selected properly, lubrication should be taken care of, centrifugal forces (and centrifugal stresses) should be considered while designing the components, blade reactions have to be considered for pumps. Drill pipe Many a times drill pipes rotate and the rotation is greatly responsible for the cutting. But sometimes, even when the rotation of the drill pipe is not the main force behind drilling, a slight rotation of the drilling pipe is necessary for a successful drilling. As with any rotating components (which have angular motion), balancing has to be considered while designing drilling pipes. In addition, buckling should also be taken note of. c) Velocity distribution in a drill pipe during the first stage is given by (cm/s) (1) Differentiating (1); The acceleration, (2) (i) When acceleration is minimum, Hence, from (2), (3) Solving (3), When acceleration is minimum, Hence, Hence, (ii) Assuming that the acceleration is proportional to the velocity during the whole period; Final velocity in a further 35 second = Final velocity after (20 + 35) second = Final velocity after 55 second = (12%/20)*55 = 33% increase in the velocity (iii) To get the displacement profile for the first stage, integrating (1); Displacement (4) where c is a constant The displacement profile is a fourth order polynomial during the first stage. The displacement profile may be obtained by plotting (4) using MATLAB. The profile looks similar to Figure 2. Figure 2. Displacement Profile for the First Stage To get the velocity profile for the second stage, acceleration proportional to velocity during the whole period of the second stage implies that the velocity variation during this stage is exponential. The profile looks similar to Figure 3. Figure