The SI unit of coefficient of viscosity is poiseuille (Pl) or Pa – s or Nm-2 s or kg m-1 s-1 . A fluid is a substance that has no fixed shape. Coefficient of viscosity of a liquid is equal to the tangential force required to maintain a unit velocity gradient between two parallel layers of liquid each of area unity. where the cross-section of pipe is more. • Coefficient of Viscosity If you have any query regarding NCERT Solutions for Class 11 Physics Chapter 10 Mechanical Properties of Fluids, drop a comment below and we will get back to you at the earliest. Force exerted to area, ratio will be same at all cross¬sections. • If the liquid flows over a horizontal surface in the form of layers of different velocities, then the flow of the liquid is called laminar flow. where T is the surface tension of the liquid and 0 is the angle of contact. Free Mechanical Properties Of Solids & Fluids PowerPoint Templates. Viscosity is the property of the fluid (liquid or gas) by virtue of which an internal frictional force comes into play when the fluid is in motion in the form of layers having relative motion. Due to this, there is apparent loss in the weight experienced by the body. Weight Density or Specific Weight: Weight density or specific density of a fluid is defined as the ratio … = mgh. Click here. • The viscous force directly depends on the area of the layer and the velocity gradient. Apart from flowing property, liquids also have the tendency to shrink into minimum surface area possible. Fluids are those substances which can flow when an external force is applied on it. • or =( Mass of fluid)×Acceleration due to gravity/Volume of fluid where K is a dimensionless constant, q is coefficient of viscosity of liquid, p is density of liquid and r is the radius of tube. Viscosity. where, ρ = density. . Absolute pressure (P) = Gauge pressure (Pg) + Atmospheric pressure (Pa) Mechanical properties of fluids also includes the formula to find Viscosity of a fluid. • For steady flow of a non-viscous fluid along a horizontal pipe, Bernoulli’s equation is simplified as (c) When W < T, then the body will come upto the surface of the liquid in such a way that the weight of the liquid displaced due to its immersed portion equals the weight of the body. The potential energy of a liquid of mass m at a height h is given by P.E. Fluids can be either gases or liquids. Total head = [Elevation head + Pressure head + Velocity head] Where elevation head is the pressure due to the elevation of the water, pressure head is the height of a column of water that a given hydrostatic pressure in a system could support and velocity head is … Click here. w= Weight of fluid/Volume of fluid. According to Reynold, in case of motion of fluids in narrow tubes, critical velocity depends on the density r and coefficient of viscosity η of the fluid as well as radius of the tube. where p = density of fluid flowing with a speed u, d stands for the diameter of the pipe and q is the viscosity of the fluid. • A column of height h of a liquid of density p exerts a pressure P given For incompressible liquids (i.e., fluids) ρ1 = ρ2 and hence the equation is given as In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed. It does not possess definite shape. In fluid mechanics the following properties of fluid would be considered. The potential energy of a liquid of mass m at a height h is given by P.E. Fluid Statics & Dynamics; Fluid Viscosity Surface Tension Mind Map for Fluid Statics & Dynamics Download . Fluid Mechanics: Fundamentals and Applications, 2nd Edition Yunus A. Cengel, John M. Cimbala McGraw-Hill, 2010. This is because of the strong intermolecular forces.Therefore, these liquids are more viscous and have high viscosity. through a given point travels along the same path and with same speed as the preceding particle passing through that very point. . ρ = m/V. (a) When W > T, the body will sink in the liquid; Cloudflare Ray ID: 619bef0e5f16fda5 • It is observed that flow is streamline or laminar for Re <= 1000 and the flow is turbulent for Re >= 2000. The thrust experienced per unit area of the surface of a liquid at rest is called pressure. The SI unit of surface tension is Nm-1 and its dimensional formula is [MT-2], The loss . HC Verma Solutions. F = 6πήr 1. When a body is immersed partially or wholly in a liquid, then the various forces acting on the body are m = mass. The pressure at any point in a fluid is equal to the sum of the atmospheric pressure acting on its surface and the hydrostatic pressure due to the weight of the fluid above that point which is at a depth h below the surface of the fluid. . Mechanical means an object to have elasticity and tensile strength which enables the body to overcome any stress or strain from other bodies. The SI unit of thrust is newton. The effect of gravity is illustrated thr ough pr essur e on a vertical cylindrical column. Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. • The upward force excerted by the liquid displaced when a body is immersed is called buoyancy. Liquids and gases are fluids. • Pascal’s Law Relation is true for incompressible fluids only. . • The pressure at any point in the liquid depends on the depth (h) below the surface, density of liquid and acceleration due to gravity. Assignment. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. • Critical Velocity V = Volume. . NCERT Chapter 10. . Some times while dealing with the problems of fluid it is desirable to know the pressure at one point is pressure at any other point in a fluid is known. Note: A large force is experienced in larger cross-section it a smaller force 4cross is applied in smaller by the relation section. Liquids and Gases can flow and are therefore called fluids. Click here. • Magnus Effect Mechanical Properties of Fluids - Introduction. If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. (b) When W = T, then the body will remain in equilibrium inside the liquid; . . Specific weight is the ratio of the weight of the fluid to the volume of the fluid. Answers of assignment are given at the end of each assignment with complete solutions. These internal frictional force is called viscous force. i.e. The energy possessed by a liquid due to its motion is called kinetic energy i.e., 1/2mv2. . . Performance & security by Cloudflare, Please complete the security check to access. According to Pascal’s Law, the pressure applied to an enclosed liquid is transmitted undiminished to every portion of the liquid and the walls of the containing vessel. In this chapter, we will learn about various Mechanical Properties of Fluids like Viscosity and Surface Tension. • The gauge pressure (Pg), is the difference of the absolute pressure (P) and the atmospheric pressure (Pa). • Surface Tension . • Equation of Continuity Fluids do not have finite shape but takes the shape of the containing vessel, The total normal force exerted by liquid at rest on a given surface is called thrust of liquid. It is given by Fluid mechanics is the branch of physics that studies fluids (liquids, gases, and plasmas) and the forces on them. June 3, 2020 June 3, 2020 Deepak Malhotra. Reynold number Re is a dimensionless number whose value gives an approximate idea whether the flow of a fluid will be streamline or turbulent. . Specific weight is denoted by the symbol w. Formula for specific density . • Chapter 10 :- Mechanical Properties Of Fluids Fluids. This idea is the basis of the ball from spin bowlers getting a lift and areodynamics. • The flow of fluid in which velocity of all particles crossing a given point is not same and the motion of fluid becomes irregular or disordered is called turbulent flow. 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