Modeling and Theoretical Analysis of Rotating Flows Over A Disk

Abstract

The study of rotating flow is equally important for engineers, mathematicians and physicists. The world’s climate framework is controlled by the consolidate impacts of sun-based radiation and rotation. It is obvious that the harm that can be caused by tornadoes is adequate reason in itself to examine this subject, yet it is certainly not only one. There are so many examples of rotating flows, the most important of which is a gas turbine. Rotating flow arrangements are utilized to model-theoretically, experimentally and computationally-the flow and heat transfer related to the inner air arrangement of gas turbine, where rotating disks are implied near a rotating or a stationary surface. Compressed air is used to keep the turbine disks cool and safe from excessive heat, because a very little amount of air could bring about severely destruction; and a large amount is inefficient which results in the fuel consumption and production of CO2. Little changes to the cooling system can give rise critical saving, however, the ideal plan requires a comprehension of the standards of rotating flows and the advancement and solution of the appropriate equations. Because of the enormous significance of the magneto-hydrodynamics (MHD) and thermal radiation in the applied fields, it is important to analyze the impact of the magnetic strength of the stream. The way toward fusing of metals in the electric heater by the application of magnetic field and in the process cooling the main divider inside the atomic reactor control steamer where the hot plasma is detached from the divider due to the applied magnetic fields. One of the physical involvement of rotating stream is the use of an outer magnetic force to shield a rotating body from excessive heating. Because of the impact of an attractive field inside the boundary layer, the total pressure remains constant beyond the boundary layer that is the reason that the liquid pressure over the disk reduced by an amount of magnetic intensity of an applied magnetic field. Remembering these types of other applications of magnetic field in hydrodynamics, Navier-Stokes equations are coupled with Maxwell equations which treated magnetic based strength as a variable magnetic field. During the modeling of some practical problems, the researchers are confronting very nonlinear situation which could not be tackled effectively by a simple numerical technique. The convergence of Numerical technique is of great concerned and is more sensitive to the first approaches. Nonlinear ordinary or partial differential equations are utilized to model almost all engineering phenomena and problems. Therefore, the researchers applies various methods for solving such type of equations in order to analyze these problems. There are a number of techniques, which scopes from purely analytic to purely numerical. Besides all advantages of using analytic or closed form solutions, numerical techniques are more appealing because of its versatility to solve all most all scientific and engineering problems. That is the reason that we have applied three different schemes, according to the existing situation, Parametric Continuation Method (PCM), Homotopy Analysis Method (HAM) and Shooting methods to investigate the proposed models. It is discovered that Dufour and radiation impacts cause decrease in the fluid tem perature. The impact of suction decreases heat transfer rate, concentration and velocities profiles as well, within the boundary layer. The entire average squared residual errors are additionally decreased, whenever, the order of approximations is expanded. It is observed that the findings of this thesis are in concurrence with previous published work. Numerical and graphical outcomes for velocities, tempera ture and magnetic profiles as well as skin frictions and Nusselt number are exhibited and examined in detail. An analysis is made in terms of shear stresses and cooling properties of different nano fluids. It is found that the lowest thermal diffisivity comparatively higher boundary layer for Al2O3, which give rise in maximum heat transfer.