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A model test is to be conducted for an under water structure which each likely to be exposed for an under water structure, which is likelyto be exposed to strong water currents. The significant forces areknown to the dependent on structure geometry, fluid velocity, fluiddensity and viscosity, fluid depth and acceleration due to gravity.Choose from the codes given below, which of the following numbers must match for the model with that of the prototype:
1. Mach number
2. Weber number
3. Froude number
4. Reynolds number.
1. Mach number
2. Weber number
3. Froude number
4. Reynolds number.
- a)3 alone
- b)1, 2, 3 and 4
- c)1 and 2
- d)3 and 4
Correct answer is option 'D'. Can you explain this answer?
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The model test being conducted for an underwater structure is aimed at simulating the behavior and response of the prototype structure under similar conditions. In order to achieve this, certain important parameters need to be matched between the model and the prototype. These parameters include Mach number, Weber number, Froude number, and Reynolds number.
1. Mach number:
The Mach number is a dimensionless quantity that represents the ratio of the flow velocity to the speed of sound in the fluid. It is primarily used to characterize compressible flow regimes. In the case of an underwater structure exposed to water currents, the flow is typically incompressible, and hence the Mach number is not a relevant parameter to match between the model and the prototype. Therefore, the Mach number does not need to match.
2. Weber number:
The Weber number is a dimensionless parameter that represents the ratio of inertial forces to surface tension forces in a fluid flow. It is used to determine the dominant forces acting on the fluid. In the case of an underwater structure exposed to strong water currents, the surface tension forces are typically negligible compared to the inertial forces. Therefore, the Weber number is not a significant parameter to match between the model and the prototype.
3. Froude number:
The Froude number is a dimensionless parameter that represents the ratio of inertia forces to gravitational forces in a fluid flow. It is used to determine the similarity of flow conditions between the model and the prototype. In the case of an underwater structure, the Froude number is an important parameter to match, as it ensures that the flow characteristics, such as wave patterns and fluid velocities, are similar between the model and the prototype.
4. Reynolds number:
The Reynolds number is a dimensionless parameter that represents the ratio of inertial forces to viscous forces in a fluid flow. It is used to determine the flow regime, whether it is laminar or turbulent. In the case of an underwater structure exposed to strong water currents, the flow is likely to be turbulent. Therefore, matching the Reynolds number between the model and the prototype is crucial to ensure that the turbulence effects are accurately simulated in the model.
Based on the above explanations, the only parameters that need to match between the model and the prototype are the Froude number and the Reynolds number. Therefore, the correct answer is option 'D' - 3 and 4.
1. Mach number:
The Mach number is a dimensionless quantity that represents the ratio of the flow velocity to the speed of sound in the fluid. It is primarily used to characterize compressible flow regimes. In the case of an underwater structure exposed to water currents, the flow is typically incompressible, and hence the Mach number is not a relevant parameter to match between the model and the prototype. Therefore, the Mach number does not need to match.
2. Weber number:
The Weber number is a dimensionless parameter that represents the ratio of inertial forces to surface tension forces in a fluid flow. It is used to determine the dominant forces acting on the fluid. In the case of an underwater structure exposed to strong water currents, the surface tension forces are typically negligible compared to the inertial forces. Therefore, the Weber number is not a significant parameter to match between the model and the prototype.
3. Froude number:
The Froude number is a dimensionless parameter that represents the ratio of inertia forces to gravitational forces in a fluid flow. It is used to determine the similarity of flow conditions between the model and the prototype. In the case of an underwater structure, the Froude number is an important parameter to match, as it ensures that the flow characteristics, such as wave patterns and fluid velocities, are similar between the model and the prototype.
4. Reynolds number:
The Reynolds number is a dimensionless parameter that represents the ratio of inertial forces to viscous forces in a fluid flow. It is used to determine the flow regime, whether it is laminar or turbulent. In the case of an underwater structure exposed to strong water currents, the flow is likely to be turbulent. Therefore, matching the Reynolds number between the model and the prototype is crucial to ensure that the turbulence effects are accurately simulated in the model.
Based on the above explanations, the only parameters that need to match between the model and the prototype are the Froude number and the Reynolds number. Therefore, the correct answer is option 'D' - 3 and 4.
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A model test is to be conducted for an under water structure which each likely to be exposed for an under water structure, which is likelyto be exposed to strong water currents. The significant forces areknown to the dependent on structure geometry, fluid velocity, fluiddensity and viscosity, fluid depth and acceleration due to gravity.Choose from the codes given below, which of the following numbers must match for the model with that of the prototype:1. Mach number2. Weber number3. Froude number4. Reynolds number.a)3 aloneb)1, 2, 3 and 4c)1 and 2d)3 and 4Correct answer is option 'D'. Can you explain this answer?
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A model test is to be conducted for an under water structure which each likely to be exposed for an under water structure, which is likelyto be exposed to strong water currents. The significant forces areknown to the dependent on structure geometry, fluid velocity, fluiddensity and viscosity, fluid depth and acceleration due to gravity.Choose from the codes given below, which of the following numbers must match for the model with that of the prototype:1. Mach number2. Weber number3. Froude number4. Reynolds number.a)3 aloneb)1, 2, 3 and 4c)1 and 2d)3 and 4Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A model test is to be conducted for an under water structure which each likely to be exposed for an under water structure, which is likelyto be exposed to strong water currents. The significant forces areknown to the dependent on structure geometry, fluid velocity, fluiddensity and viscosity, fluid depth and acceleration due to gravity.Choose from the codes given below, which of the following numbers must match for the model with that of the prototype:1. Mach number2. Weber number3. Froude number4. Reynolds number.a)3 aloneb)1, 2, 3 and 4c)1 and 2d)3 and 4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A model test is to be conducted for an under water structure which each likely to be exposed for an under water structure, which is likelyto be exposed to strong water currents. The significant forces areknown to the dependent on structure geometry, fluid velocity, fluiddensity and viscosity, fluid depth and acceleration due to gravity.Choose from the codes given below, which of the following numbers must match for the model with that of the prototype:1. Mach number2. Weber number3. Froude number4. Reynolds number.a)3 aloneb)1, 2, 3 and 4c)1 and 2d)3 and 4Correct answer is option 'D'. Can you explain this answer?.
A model test is to be conducted for an under water structure which each likely to be exposed for an under water structure, which is likelyto be exposed to strong water currents. The significant forces areknown to the dependent on structure geometry, fluid velocity, fluiddensity and viscosity, fluid depth and acceleration due to gravity.Choose from the codes given below, which of the following numbers must match for the model with that of the prototype:1. Mach number2. Weber number3. Froude number4. Reynolds number.a)3 aloneb)1, 2, 3 and 4c)1 and 2d)3 and 4Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A model test is to be conducted for an under water structure which each likely to be exposed for an under water structure, which is likelyto be exposed to strong water currents. The significant forces areknown to the dependent on structure geometry, fluid velocity, fluiddensity and viscosity, fluid depth and acceleration due to gravity.Choose from the codes given below, which of the following numbers must match for the model with that of the prototype:1. Mach number2. Weber number3. Froude number4. Reynolds number.a)3 aloneb)1, 2, 3 and 4c)1 and 2d)3 and 4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A model test is to be conducted for an under water structure which each likely to be exposed for an under water structure, which is likelyto be exposed to strong water currents. The significant forces areknown to the dependent on structure geometry, fluid velocity, fluiddensity and viscosity, fluid depth and acceleration due to gravity.Choose from the codes given below, which of the following numbers must match for the model with that of the prototype:1. Mach number2. Weber number3. Froude number4. Reynolds number.a)3 aloneb)1, 2, 3 and 4c)1 and 2d)3 and 4Correct answer is option 'D'. Can you explain this answer?.
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