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Grashof number signifies the ratio of
[2016]
- a)inertia force to viscous force
- b)buoyancy force to viscous force
- c)buoyancy force to inertia force
- d)inertia force to surface tension force
Correct answer is option 'B'. Can you explain this answer?
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Grashof number signifies the ratio of[2016]a)inertia force to viscous ...
Grash of number = inertia force x 
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Grashof number signifies the ratio of[2016]a)inertia force to viscous ...
Grash of number = inertia force x
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Grashof number signifies the ratio of[2016]a)inertia force to viscous ...
The Grashof number is a dimensionless number used in fluid mechanics to characterize the ratio of buoyancy force to viscous force in a fluid flow. It is named after the German engineer Franz Grashof, who made significant contributions to the field of heat transfer.
The Grashof number is defined as the product of the buoyancy force and the characteristic length scale of the flow, divided by the product of the dynamic viscosity of the fluid and the thermal diffusivity. Mathematically, it can be expressed as:
Gr = (g * β * ΔT * L^3) / (ν^2)
Where:
- g is the acceleration due to gravity
- β is the coefficient of thermal expansion
- ΔT is the temperature difference across the flow
- L is the characteristic length scale of the flow
- ν is the kinematic viscosity of the fluid
The Grashof number is commonly used in the study of natural convection, which occurs when a fluid is heated from below and the resulting density difference causes the fluid to rise. In this case, the buoyancy force dominates the flow behavior compared to the viscous force.
Explanation of the options:
a) The inertia force to viscous force ratio is characterized by the Reynolds number, not the Grashof number.
c) The buoyancy force to inertia force ratio is not characterized by the Grashof number.
d) The inertia force to surface tension force ratio is characterized by the Weber number, not the Grashof number.
Therefore, the correct answer is option B, which states that the Grashof number signifies the ratio of buoyancy force to viscous force.
The Grashof number is defined as the product of the buoyancy force and the characteristic length scale of the flow, divided by the product of the dynamic viscosity of the fluid and the thermal diffusivity. Mathematically, it can be expressed as:
Gr = (g * β * ΔT * L^3) / (ν^2)
Where:
- g is the acceleration due to gravity
- β is the coefficient of thermal expansion
- ΔT is the temperature difference across the flow
- L is the characteristic length scale of the flow
- ν is the kinematic viscosity of the fluid
The Grashof number is commonly used in the study of natural convection, which occurs when a fluid is heated from below and the resulting density difference causes the fluid to rise. In this case, the buoyancy force dominates the flow behavior compared to the viscous force.
Explanation of the options:
a) The inertia force to viscous force ratio is characterized by the Reynolds number, not the Grashof number.
c) The buoyancy force to inertia force ratio is not characterized by the Grashof number.
d) The inertia force to surface tension force ratio is characterized by the Weber number, not the Grashof number.
Therefore, the correct answer is option B, which states that the Grashof number signifies the ratio of buoyancy force to viscous force.
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Grashof number signifies the ratio of[2016]a)inertia force to viscous forceb)buoyancy force to viscous forcec)buoyancy force to inertia forced)inertia force to surface tension forceCorrect answer is option 'B'. Can you explain this answer?
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