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What is the Reynold’s number?
Reynold’s number (Re) is a dimensionless quantity in fluid mechanics used to predict the flow regime of a fluid, such as whether the flow will be laminar, transitional, or turbulent. It is defined as the ratio of inertial forces to viscous forces within a fluid flow. The formula for Reynold's numberRead more
Reynold’s number (Re) is a dimensionless quantity in fluid mechanics used to predict the flow regime of a fluid, such as whether the flow will be laminar, transitional, or turbulent. It is defined as the ratio of inertial forces to viscous forces within a fluid flow. The formula for Reynold’s number is:
\[ Re = \frac{\rho v L}{\mu} \]
Alternatively, it can also be expressed as:
\[ Re = \frac{v L}{\nu} \]
where:
– \( \rho \) (rho) = density of the fluid (kg/m\(^3\))
– \( v \) = characteristic velocity of the fluid (m/s)
– \( L \) = characteristic linear dimension (m), such as the diameter of a pipe
– \( \mu \) = dynamic viscosity of the fluid (Pa•s or N•s/m\(^2\))
– \( \nu \) (nu) = kinematic viscosity of the fluid (m\(^2\)/s), defined as \( \nu = \frac{\mu}{\rho} \)
Importance of Reynold’s Number:
– **Laminar Flow (Re < 2000):** In this regime, the fluid flows in parallel layers with minimal mixing between them. Viscous forces dominate.
– **Transitional Flow (2000 < Re 4000):** In this regime, the fluid exhibits chaotic eddies, vortices, and significant mixing. Inertial forces dominate over viscous forces.
Reynold’s number is widely used in engineering and science to analyze and design systems involving fluid flow, such as pipelines, aircraft wings, and hydraulic structures.
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Critical velocity marks the threshold between laminar and turbulent flow. It depends on fluid properties like density and viscosity and the geometry of the flow system. This question related to Chapter 9 physics Class 11th NCERT. From the Chapter 9. Mechanical Properties of Fluids. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-9/
What determines buoyant force acting on an object?
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According to Archimedes’ principle, the buoyant force is equal to the weight of the fluid displaced by the object. This principle explains why heavy ships float. This question related to Chapter 9 physics Class 11th NCERT. From the Chapter 9. Mechanical Properties of Fluids. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-9/
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Viscosity is the ratio of stress (force per unit area) to strain rate (rate of deformation). Higher viscosity indicates a fluid flows more slowly under stress, like honey compared to water. This question related to Chapter 9 physics Class 11th NCERT. From the Chapter 9. Mechanical Properties of Fluids. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-9/
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Bernoulli’s principle explains that the air moving over the curved top of the wing has higher velocity and lower pressure, generating lift. This pressure difference enables planes to rise into the air. This question related to Chapter 9 physics Class 11th NCERT. From the Chapter 9. Mechanical Properties of Fluids. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-9/