Intact Stability GM Quick Check: Metacentric Height, Free Surface Correction and a Worked Example

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Every loading condition on a ship or workboat starts with one question: is the vessel stable enough to sail? The fastest first answer is the transverse metacentric height, GM. This post sets out the hydrostatic fundamentals behind it, shows how free surface in slack tanks erodes it, explains how the inclining experiment fixes the lightship KG, and works through a loading condition for a small cargo vessel. It ends with the first checks against the IMO 2008 Intact Stability Code. It is a screening method, not a substitute for a full stability booklet. It also sits alongside our wider overview of marine engineering and naval architecture . Fundamentals: KB, BM, KM, KG and GM A floating vessel is in equilibrium when weight equals buoyancy and both act along the same vertical line. Buoyancy is the resultant of hydrostatic pressure on the hull, a topic we cover in pressure and fluid statics . When the vessel heels through a small angle, the underwater shape changes, and the centre of buo...

Introduction and Basic Concepts about Thermodynamics

THERMODYNAMICS


Thermodynamics actually includes all aspects of energy, energy transformation and relationship among the properties of matter.

Applications of Thermodynamics:

There are many applications of thermodynamics bit some of them are :
1. Human body 
2. Refrigeration system 
3. Air-conditioning system
4. Aeroplanes 
5. Power Plants 
6. Automobiles, etc.

SYSTEM AND CONTROL VOLUME:

System is any thing which is under consideration.
Volume of system or under boundary is called control volume. 

TYPES OF SYSTEM:


1. OPEN SYSTEM:


 System through which mass and energy can cross the boundary is called open system.

2. CLOSE SYSTEM:


System through which energy can transfer but mass cannot cross the boundary.

3. ISOLATED SYSTEM:


System through which mass and energy cannot transfer.

PROPERTIES OF A SYSTEM :


Any characteristic of a system defines property of a system. They are divided into several types:

1. INTENSIVE PROPERTIES:

Properties which does not depend upon the size and quantity of system. For exaqmple: temperature, pressure, density, etc.

2. EXTENSIVE PROPERTIES:

Properties which does depend upon the size and quantity of system. For example: mass, volume, mole, etc.

3. SPECIFIC PROPERTIES:

It is defined as;
Extensive properties per unit mass.
For example:
1. specific volume = volume / mass
2. Specific energy = energy / mass
3. Specfic weight = weight / volume, etc.

CONTINUUM APPROACH:


Consideration of continuity of matter that there are no holes between molecules is called Continuum Approach.
Note: At high altitudes, mean free path becomes much greater so continuum approach is not applicable. For this Rare-fied Gas Flow Theory is used.

RELATIVE DENSITY or SPECIFIC GRAVITY:

Density of solids relative to standard liquid's density that is water.
Specific Gravity = S.G. = Density of substance/Density of water

STATE OF A SYSTEM:

If a system is in equilibrium, then properties give the state of a system.

EQUILIBRIUM: 

It imlpies the state of balance. A system ion equilibrium rxperiences no change.
For example:
* Thermal equilibrium: No change in temperature.
*Mechanical equilibrium: No change in pressure.
*Chemical equilibrium: No change in composition. 

THE STATE POSTULATE:


It states that;
The state of a simple compressible system is completely specified by two independent intensive properties.

SIMPLE COMPRESSIBLE SYSTEM:

 A system in the absence of electrical, mechanical, gravitational motion and surface tension effects is called Simple Compressible System. 

PROCESS AND CYCLES:

Process is defined as; 
Any change that a system undergoes from one equilibrium state to another.
 Cycle is defined as;
If a system returns to its initial state at the end of the process.

QAUSI-EQUILIBRIUM PROCESS OR QUASI-STATIC:

When a process proceeds in such a manner that the system remains infinitesimally close to an equilibrium state at all times is called Quasi-equilibrium process.

ZEROTH LAW OF THERMODYNAMICS:


It states that;
If two bodies are in thermal equilibrium with the third body then they are also in thermal equilibrium with each other.

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