Could anybody tell me any relation for changing of meteorology parameters in and out of clouds? For example say percent for pressure difference, temperature difference and humidity difference in and out of cloud?
Dear you ask really very complicated question as still we are not able to understand the cloud dynamics fully. well it also depends on the cloud type and its spatial characteristics. Similarly, there is not well define boundary for in and out of clouds and if you say out of clouds that is bit confusing as out of cloud means where?; near the cloud, very near ....?of course the temperature difference could be huge, depends on the cloud formation mechanism, for thunderstorm clouds the top and bottom temperature could be entirely different but for cirrus maybe the difference within the clouds not so much but as their altitude is quite high so that could cause high lapse rate as well. Humidity is mostly more high at near surface as compared to the cloud top but yet it depends on cloud type and moisture contents it may have.
I would suggest you to read about cloud types and formation that could give you more insight and maybe let you ask more precise question.
Yes, cloud boundaries are not well defined, and the environment inside a cloud is variable. But in a cloud the humidity is slightly supersaturated (a fraction of a percent above 100%), the temperature in the updrafts will be slightly warmer than the downdrafts or surrounding air (in the same horizontal plane) by a few degrees centigrade (unless you are in an 'overshooting top'), and the combination of updrafts and downdrafts will usually produce more turbulence inside the cloud than outside.
It may depend on type of cloud. However I don't mind about it. I just want to know is there any known relationship for differencing of meteorology parameters in and out of cloud? For example in a specified cloud temperature in cloud is almost 2 degree colder (or warmer) than out.
It's not fixed, all you can do is use these rough estimates: relative humidity is never more than perhaps a few tenths of a percent at most above saturation, and it's likely to increase with the speed of the updraft. Temperature will only be a few degrees above the surroundings, is likely to increase with updraft speed, but also decrease as you approach the top of the cloud.
For temperature you can compare the moist adiabatic line for rising air (no closed form equation) to the atmospheric temperature profile, and see what the difference is. Beyond that things get complicated due to actual condensation rate, turbulent mixing, drop size, etc. For RH it's even worse. All of this depends on updraft rate, which will change depending on the difference between rising air temperature and surrounding air, so it's a complicated loop, and the history of the ascent matters (read, vertical integration).
So either you use a complex model, or you just say roughly it depends on updraft speed. There may be rules of thumb out there for estimating this stuff, but people who care generally use a numerical cloud model.
Ehsan - cloud models are not easy things to run - and will not reproduce exactly what you are seeing at any given moment in part due to limitations in input data, and in part due to limitations of the model. Getting it running means ingesting data for several hours of spinup time (ingesting weather data in 3 dimensions), and then you'll need a lot of expertise to tell if your output is reasonably correct - not something to be done by someone who just asked what the meteorology inside a cloud is.
Please let us know more precisely what you need this for, and you can be guided to the best solution. I seriously doubt attempting to run a cloud model is the best approach for you.
Ehsan jan, you can search " cloud 3D resolving model " on google. I have an article related to 1D model that it can help you to understand variations in vertical profile in a convection cloud. we can see in simple model some parameters such as p. temperature and humidity change differently at the bottom and top of the cloud.