”FIND THE DEPTH OF SEA ICE” is a problem that need to solve when scientist want to know ‘ice age’ which gives information about past weather on the surface of sea. The ice thickness is a fundamental parameter for practically all ice problems.

This problem need some assumption to be made.

In this problem, Firstly, at t = 0 there created a thin layer of ice on the surface of sea water. When it built completely, thermal conduc- tion becomes slow in ice.

Here we assume that the air has constant temperature below the freezing point of the sea water. Formula of thermal conduction is given by,

here we assume that tw and ta are remain costant. As the water starts to release heat, water under the ice surface will start to freeze . The heat which released by water is given by,

where, L = latent heat of sea water (Amount of heat loss require to freeze 1 kilogram of it)

We have two equation,

Now, m of the water layer is equals to its density D times volume V.

If we take surface area A = 1 m*m volume of a water layer become height of water layer so, Q = LDh

So we have finale equation,

integrating both side,

c is integrating constant.

Now, when t = 0

but here we assume that h =0 implies c = 0. So, depth of sea ice is,

So, answer of the problem is

This problem can be used to know lack depth of ice in lack. By using this application we can found time in which the whole lack convert into ice.

In cold spells numerous ditches, canals and lakes get frozen and many people go out for ice skating tours. In these periods there is great interest in ice thickness predictions.

It can be used to find out the depth of sea ice whose increasing rate is changing with time.

The ice thickness data collected serves two functions:

1. It provides a climatology of ice thickness in various great lakes bays and harbors.

2. It provides the data base needed to develop forecast techniques of ice thickness.