Numerical Study of Viscous Flow in the Hydraulic System of Electro Optical Tracking System
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In this chapter, we present a study of numerical simulation of centerline velocity, velocity contour and wall shear stress for a two dimensional viscous and incompressible fluid flow in rectangular pipe. The numerical results have been corroborated through a scaling law and asymptotic analysis. It deals with simulation of viscous flow in a typical hydraulic control system can be used in Electro Optical Tracking System (EOTS). Due to geometric constraint, the typical piping can be used in hydraulic circuit of EOTS is of rectangular (with aspect ratio p factor = 1) cross section. The two dimensional governing equation of laminar flow of highly viscous fluid is solved in the present work by using finite difference method. Through extensive simulation, the grid independence of centerline velocity and wall shear stress has been established in the present study. In addition a scale analysis approach and asymptotic analysis of the problem have been carried out. The axial velocity profile in 3D space and corresponding contour has been computed here. It has been demonstrated that the velocity contour is parabolic in nature. The present work also establishes the fact that the velocity profile remains parabolic for rectangular pipe with varying cross sectional aspect ratio (p factor). At different p factor, the centerline velocity and wall shear stress have also been presented in this chapter.
KeywordsViscous flow p Factor TDMA EOT
The authors are grateful to the Director, ITR for his permission towards the publication of this work.
- 1.X. Yuming, W. Weidong, X. Zhiqiang, Numerical Computation of Laminar Flow Pipeline Transport Axial Flow Field. In: International Conference on Information Technology and Computer Science, (2009), pp. 196–199Google Scholar
- 2.M.T. Okishi, Fundamental of Fluid Mechanics, 3rd edn. (John Willey, New York), pp. 360—364Google Scholar
- 3.Roberson John A., Clayton T Crowe, Engineering Fluid Mechanics, 6th edn. (John Willey, New York) pp. 86—88Google Scholar
- 4.W.T. Lee , Traditional Matrices: Thomas Algorithm. In: Scientific Computation, University of Limerick Google Scholar
- 5.S. Herzog , C. Neveu, D. Placek, The Benefits of Maximum Efficiency Hydraulic Fluids, in Machinery Lubrication, http://www.machinerylubrication.com, July (2005)
- 6.A. Bejan, Convection Heat Transfer, 2nd edn. (Wiley, New York, 1995)Google Scholar
- 7.Y.S. Muzychka, M.M. Yavanovich, Pressure Drop in Laminar Developing Flow in Noncircular Ducts: A Scaling and Modeling ApproachGoogle Scholar
- 8.Y. Jaluria, K.T. Torrance, Computational Heat Transfer. pp. 44–47 Google Scholar
- 9.Y. Frank, Fluid Power Design Handbook, 3rd edn. (Dekker Marcel, New York, 1984) Google Scholar