**Airflow Across a Thin Airfoil: Analyzing Reynolds Number**Air flows across a thin airfoil at a velocity of 90 m/s. For the same Reynolds number based on the actual chord length, \( L = 1.40 \, \text{m} \), what velocity of water is required for a 1/2 scale model test? Assume a temperature of 15°C for both fluids.**Diagram Explanation:**- The diagram illustrates a horizontal thin airfoil.- The airflow is represented by an arrow pointing rightward, indicating the direction and velocity of the air, labeled as \( U = 90 \, \text{m/s} \).- The chord length of the airfoil is marked as \( L = 1.40 \, \text{m} \).This setup is used to calculate Reynolds numbers in fluid dynamics experiments to ensure dynamic similarity between full-scale and model-scale testing.

Assumptions Reynold’s number can be determined asVelocity of water for model for same Reynold number can be determined as

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Air flows across a thin airfoil at a velocity of 90 m/s. For the same Reynolds number based on the actual chord length, L = 1.40 m, what velocity of water is required for a 1/2 scale model test? Assume a temperature of 15°C for both fluids. air U = 90 m/s L = 1.40 m

Air flows across a thin airfoil at a velocity of 90 m/s. For the same Reynolds number based on the actual chord length, L = 1.40 m, what velocity of water is required for a 1/2 scale model test? Assume a temperature of 15°C for both fluids. air U = 90 m/s L = 1.40 m

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

**Airflow Across a Thin Airfoil: Analyzing Reynolds Number**

Air flows across a thin airfoil at a velocity of 90 m/s. For the same Reynolds number based on the actual chord length, \( L = 1.40 \, \text{m} \), what velocity of water is required for a 1/2 scale model test? Assume a temperature of 15°C for both fluids.

**Diagram Explanation:**

- The diagram illustrates a horizontal thin airfoil.
- The airflow is represented by an arrow pointing rightward, indicating the direction and velocity of the air, labeled as \( U = 90 \, \text{m/s} \).
- The chord length of the airfoil is marked as \( L = 1.40 \, \text{m} \).

This setup is used to calculate Reynolds numbers in fluid dynamics experiments to ensure dynamic similarity between full-scale and model-scale testing.

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