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CHAPTER-ONE INTRODUCTION 1
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Introduction Mechanics: The oldest physical science that deals with both stationary and moving bodies under the influence of forces. Statics: The branch of mechanics that deals with bodies at rest. Dynamics: The branch that deals with bodies in motion. Fluid mechanics: The science that deals with the behavior of fluids at rest (fluid statics) or in motion (fluid dynamics). Fluid mechanics deals with liquids and gases in motion or at rest. 2
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What is a Fluid? Fluid: A substance in the liquid or gas phase. Application Areas of Fluid Mechanics Number of fluids engineering applications are: 3
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4)Specific Gravity The specific gravity of a fluid, is defined as the ratio of the density of the fluid to the density of standard fluid at some specified temperature. 9
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10 Example Calculate the specific weight, density and specific gravity of one litre of a liquid which weight 7N. Solution
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12 6.Viscosity Viscosity is defined as the property of a fluid which offers resistance to the movement of one layer of fluid over another adjacent layer of the fluid. When two layers of a fluid,a distance ‘dy’ a part, move one over the other at different velocities, say u and u+du as shown in fig. below, the viscosity together with relative velocity causes a shear stress acting between the fluid layers.
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14 Units of Viscosity The units of viscosity is obtained by putting of quantities expressing it. kinematic viscosity is defined as
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15 7.Newton’s law of viscosity It states that the shear stress on a fluid element layer is directly proportional to the rate of shear strain. Mathematically expressed as: Fluids which obey the above relation are known as Newtonian fluids and the fluids which do not obey the above relation are called Non-newtonian fluids.
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21 Capillary Capillary is defined as a phenomenon of rise or fall of a liquid surface in a small tube relative to the adjacent general level of liquid when the tube is held vertically in the liquid. The rise of liquid surface is known as capilliry rise while the fall of the liquid surface is known as capillary depression. Capillary action in small tubes, which involves a liquid–gas–solid interface, is caused by surface tension.
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22 Effect of capillary action in small tubes. (a) Rise of column for a liquid that wets the tube. (b) Free-body diagram for calculating column height. (c) Depression of column for a nonwetting liquid.
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