Mechanical Engineering > Topper Handwritten Notes & Videos for GATE ME > GATE Previous Year Questions: Sommerfeld Number, Machine Design
GATE Previous Year Questions: Sommerfeld Number, Machine Design Video Lecture - Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering
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| 1. What is the Sommerfeld number in machine design? |  |
Ans. The Sommerfeld number, also known as the bearing characteristic number, is a dimensionless quantity used in machine design. It represents the ratio of the inertia force to the viscous force acting on a fluid film bearing.
| 2. How is the Sommerfeld number calculated? | |
Ans. The Sommerfeld number (S) is calculated by dividing the product of the square of the shaft speed (N) and the square of the bearing diameter (D) by the product of the fluid viscosity (μ) and the load on the bearing (W). Mathematically, S = (N^2 * D^2) / (μ * W).
| 3. What is the significance of the Sommerfeld number in machine design? | |
Ans. The Sommerfeld number helps in determining the stability and performance of fluid film bearings in machine design. It is used to analyze the behavior of the bearing under different operating conditions, including the effects of viscosity, speed, load, and bearing geometry.
| 4. What is the ideal range of Sommerfeld number for a fluid film bearing? | |
Ans. The ideal range of Sommerfeld number for a fluid film bearing is typically between 0.01 and 10. A higher Sommerfeld number indicates a more stable bearing operation, while a lower value may result in instability and potential bearing failure.
| 5. How does the Sommerfeld number affect the design of fluid film bearings? | |
Ans. The Sommerfeld number plays a crucial role in the design of fluid film bearings. It helps engineers determine the appropriate bearing dimensions, operating conditions, and lubrication requirements to ensure optimal performance and stability. By analyzing the Sommerfeld number, designers can make informed decisions to prevent issues like excessive wear, heat generation, and vibration in machine components.
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