Study On Some Problems of Non-Newtonian Fluid Mechanics

Abstract

This is an elaborate discussion of main theme ideas and the condition in "Fluid mechanics", which help us to realized a clear concept of the background and elements of various viscous Newtonian and non-Newtonian flow problems. The basic equation viz, the equation of a visco-elastic fluid of oldroyds model, the equation of continuity, the equation of motion and the equation for isotropic incompressible fluid of Newtonian and non-Newtonian. Here we also have shown the equation the velocity profile in the dimensionless form. Fluid mechanics is one of the engineering science that form the basis for all engineering like meteorology, oceanography and other subject of physical sciences. The subject branches out into various specialiies such as aerodynamics, hydraulic engineering, marine engineering, gas dynamics and rate processes. It deals with the statics, kinematics and dynamics of fluids, since the motion of a fluid is caused by unbalanced forces exerted upon it. Available methods of analysis stem from the application of the following principles concepts and laws, Newton's laws of motion, the first and second laws of thermodynamics, the principle of conservation of mass, equations of state relating fluid properties. Newton's law of viscosity, mixing-lenth concepts and restrictions caused by the presence of boundaries. In fluid flow calculations, viscosity and density are the fluid properties most generally encountered; they play the principal roles in open-and closed­channel flow and in flow around immersed bodies. Surface tension effects are of importance in the formation of droplets, in flow of small jets and in situations where liquid-gas-solid or liquid-liquid-solid interfaces occurs, as well as in the formation of capillary waves. The property of vapor pressure, accounting for changes of phase from liquid to gas, becomes important when reduced pressures are encountered. In this chapter fluid properties are discussed, as well as units and dimensions and concepts of the continuum.