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Mechanical Properties of Fluids

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Physics Part II

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Physics

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Class 10 Class 12
Given, n identical drops (each of radius r) of liquid of surface tension T and density ρ coalesce to form single drop. The energy released in the processes is converted into heat. Find the increase in the temperature of drop.

Given that 'n' drops coalesce to form a single drop.

During the process, energy is released which is converted into heat. 

Energy released is given by,

straight E space equals space 4 πTr squared space left parenthesis straight n space minus space straight n to the power of begin inline style bevelled 2 over 3 end style end exponent right parenthesis space
This energy is converted to heat.

Therefore, 

space space space space space space space msJθ space equals space 4 πTr squared space left parenthesis straight n space minus space straight n to the power of 2 divided by 3 end exponent right parenthesis space

rightwards double arrow space straight rho space left parenthesis straight n 4 over 3 πr cubed right parenthesis sJθ space equals space 4 space straight pi space Tr squared space left parenthesis straight n space minus space straight n to the power of 2 divided by 3 end exponent right parenthesis space

straight i. straight e. comma space space space space straight theta space equals space fraction numerator 3 straight T over denominator rsρJ end fraction open parentheses fraction numerator straight n space minus space straight n to the power of 2 divided by 3 end exponent over denominator straight n end fraction close parentheses

where,  θ is the increase in temperature drop.

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What is hydrostatics?

Hydrostatics is the branch of fluid mechanics that studies incompressible fluids at rest. The study of fluids at rest or objects placed at rest in fluids is hydrostatics.
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What is hydrodynamics?

Hydrodynamics is the branch of science that studies about the force exerted by the fluids or acting on the fluids. 
799 Views

What is fluid?

Any material that can flow is a fluid. Liquids and gases are examples of fluid.


976 Views

Why solids have definite shape while liquids do not have definite shape?

Solids: Intermolecular forces are very strong and thermal agitations are not sufficiently strong to separate the molecules from their mean position. Solids are rigid and hence they have definite shapes.
Liquids: In liquids intermolecular forces are not sufficiently strong to hold the molecules at definite sites, as a result they move freely within the bulk of liquid, therefore, do not possess definite shapes. Liquids take the same shape as that of the container. 
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Do intermolecular or inter-atomic forces follow inverse square law?

No. Intermolecular and inter-atomic forces do not obey the inverse square law. 
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