What is meta centre in fluid mechanics?

metacentre, also spelled metacenter, in fluid mechanics, the theoretical point at which an imaginary vertical line passing through the centre of buoyancy and centre of gravity intersects the imaginary vertical line through a new centre of buoyancy created when the body is displaced, or tipped, in the water, however …

What is meta centre and meta-centric height?

Hydraulics and Fluid Mechanics. The Metacentre may be defined as a point about which a floating body starts oscillating, when given a small angular displacement. It is denoted by M. The metacentric height is the distance between the centre of gravity (G) of the floating body and the metacentre (M).

How does metacentre influence the stability of a floating body?

Hence, we can say; if the metacentre, M, lies above the centre of gravity, G, then the body is stable. If the metacentre, M, lies below the centre of gravity, G, then the body is unstable.

How do you calculate metacentre?

Metacentre is determined by the ratio between the inertia resistance of the boat and the volume of the boat. (The inertia resistance is a quantified description of how the waterline width of the boat resists overturning.)

Why inclining experiment is done?

An inclining test is a test performed on a ship to determine its stability, lightship weight and the coordinates of its center of gravity. The test is applied to newly constructed ships greater than 24m in length, and to ships altered in ways that could affect stability.

What do you mean by Meta Center and metacentric height explain the analytical method to find the metacentric height?

Analytical method to determine the meta-centric height. As we know that meta-centre is basically defined as the point about which a body in stable equilibrium will start to oscillate when body will be displaced by an angular displacement. Let us consider a body which is floating in the liquid.

What is a GZ in ship stability?

The vessel’s centre of gravity (G) has a distinct effect on the righting lever (GZ) and consequently the ability of a vessel to return to the upright position. The lower the centre of gravity (G), the bigger is the righting lever (GZ).

What is the direction of pressure?

Pressure acts in all directions at a point inside a gas. At the surface of a gas, the pressure force acts perpendicular to the surface. If the gas as a whole is moving, the measured pressure is different in the direction of the motion.

What is fluid mechanics?

UNIT I PROPERTIES OF FLUIDS AND FLUID STATICS Introduction to Fluid Mechanics Definition of a fluid A fluid is defined as a substance that deforms continuously under the action of a shear stress, however small magnitude present.

What are the components of body forces in fluid mechanics?

Let Xx, Xy, Xz be the components of body forces acting per unit mass of the fluid element along the coordinate axes x, y and z respectively. The body forces arise due to external force fields like

What are the chapters of the book on fluid mechanics?

The book is organized into several chapters which, as a traditional text- book, deals with a basic introduction to the fluid properties and concepts (under construction). The second chapter deals with Thermodynamics. The third book chapter is a review of mechanics. The next topic is statics.

What is metacentric height in buoyancy?

It is the point of intersection of symmetrical axis of floating body and the new line of action of force of Buoyancy. METACENTRIC HEIGHT (CM) It is the distance between center of gravity (c) and Metacenter. It is the measure if static stability of floating body. Large the metacentric height more is the stability.