Which of the following corresponds to the Atwood number's standard symbol?
A
Understanding the Atwood Number Symbol
The Atwood number is a dimensionless quantity used in fluid dynamics to characterize the density stratification of a fluid. It is particularly relevant in the study of hydrodynamic instabilities, such as the Rayleigh-Taylor instability and the Richtmyer-Meshkov instability. The Atwood number involves the densities of two different fluids and is defined as:
\( A = \frac{\rho_1 - \rho_2}{\rho_1 + \rho_2} \)
Where \(\rho_1\) and \(\rho_2\) are the densities of the two fluids.
The question asks for the standard symbol corresponding to the Atwood number. Let's look at the options:
- Option 1: 'a' - This symbol is commonly used for acceleration. It is not the standard symbol for the Atwood number.
- Option 2: 'Ar' - This symbol is the chemical symbol for the element Argon. It is not the standard symbol for the Atwood number.
- Option 3: 'A' - This symbol is the widely accepted and standard symbol used to represent the Atwood number in fluid dynamics.
- Option 4: 'AR' - This symbol is not the standard symbol for the Atwood number. While 'Ar' is used for Argon, 'AR' doesn't have a standard representation as the Atwood number.
Based on standard scientific notation and practice, the symbol A is used to denote the Atwood number.
Important Questions from Dimensionless Number
Match the following and select the correct answer from the codes given below the lists
List I
List II
A.
Steam Nozzle
1.
Mach number
B.
Compressible flow
2.
Reaction turbine
C.
Surface Tension
3.
Biot number
D.
Heat conduction
4.
Nusselt number
5.
Supersaturation
6.
Weber number
The Reynold’s number, used for critical velocity for turbulent flow of fluids, is given by the relation
Reynolds number for non - circular cross-section is:
[V = mean velocity, ν = kinematic viscosity, P = ratio of cross-sectional area to the wetted perimeter]
A) \(V.\frac{{4P}}{v}\)
B) \(\frac{{V.P}}{v}\)
C) \(\frac{{V.2P}}{{4v}}\)
D) \(\frac{{V.P}}{{4v}}\)
When the Mach number is less than unity, the flow is
The only possible dimensionless group that combines velocity ‘V’, body size ‘L’, fluid density ‘ρ’ & surface tension ‘σ’
