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Consider the above problem, find the value of Grashoff number
  • a)
    101.3 * 10 12
  • b)
    102.3 * 10 12
  • c)
    103.3 * 10 12
  • d)
    104.3 * 10 12
Correct answer is option 'D'. Can you explain this answer?
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Consider the above problem, find the value of Grashoff numbera)101.3 *...
Grashof number = l β g d t/µ 2.
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Consider the above problem, find the value of Grashoff numbera)101.3 *...
Grashoff number is a dimensionless number used in fluid dynamics to characterize the flow of a fluid in a gravitational field. It is defined as the ratio of the buoyancy forces to the viscous forces in the fluid flow. The Grashoff number is given by the formula:

Gr = (g L^3 Δρ) / (ν^2)

where:
- g is the acceleration due to gravity
- L is a characteristic length of the flow (e.g., the diameter of a pipe)
- Δρ is the density difference between the fluid and the surrounding medium
- ν is the kinematic viscosity of the fluid

In this problem, the Grashoff number is given as 104.3 * 1012. Let's break down the given options to see which one matches the calculated value.

a) 101.3 * 1012
b) 102.3 * 1012
c) 103.3 * 1012
d) 104.3 * 1012 (Correct Answer)

The given Grashoff number is 104.3 * 1012, which matches option 'd'.

This means that the buoyancy forces in the fluid flow are dominant compared to the viscous forces. A high Grashoff number indicates that the fluid flow is more affected by gravity, and natural convection or buoyancy-driven flow is more likely to occur.

It is important to note that the Grashoff number is typically used in the analysis of natural convection, heat transfer, and fluid flow in various industrial processes. By knowing the value of the Grashoff number, engineers and scientists can determine the type of flow (e.g., laminar or turbulent) and predict the behavior of the fluid in different applications.

In conclusion, the correct value of the Grashoff number is 104.3 * 1012, which matches option 'd' in the given choices.
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Consider the above problem, find the value of Grashoff numbera)101.3 * 1012b)102.3 * 1012c)103.3 * 1012d)104.3 * 1012Correct answer is option 'D'. Can you explain this answer?
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