Mechanical Engineering Exam > Mechanical Engineering Questions > Consider the following statements:1. Gases ar...
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Consider the following statements:
1. Gases are considered incompressible when Mach number isless than 0.2
2. A Newtonian fluid is incompressible and non-viscous
3. An ideal fluid has negligible surface tension
Which of these statements is /are correct?
1. Gases are considered incompressible when Mach number isless than 0.2
2. A Newtonian fluid is incompressible and non-viscous
3. An ideal fluid has negligible surface tension
Which of these statements is /are correct?
- a)2 and 3
- b)2 alone
- c)1 alone
- d)1 and 3
Correct answer is option 'D'. Can you explain this answer?
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Consider the following statements:1. Gases are considered incompressib...
Ans. (d)
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Consider the following statements:1. Gases are considered incompressib...
Newtonian fluid is incompressible but it poses viscosity property. hence statment 2 is false
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Consider the following statements:1. Gases are considered incompressib...
Statement 1: Gases are considered incompressible when the Mach number is less than 0.2
The Mach number is a dimensionless quantity that represents the ratio of the speed of an object to the speed of sound in the surrounding medium. It is defined as:
Mach number = Velocity of object / Speed of sound
When the Mach number is less than 0.2, it means that the object is traveling at a speed significantly lower than the speed of sound. In this case, the gas can be considered incompressible because the changes in density and pressure due to the motion of the object are negligible. Therefore, statement 1 is correct.
Statement 2: A Newtonian fluid is incompressible and non-viscous
A Newtonian fluid is a type of fluid whose viscosity is constant regardless of the applied shear stress. It follows Newton's law of viscosity, which states that the shear stress on a fluid is directly proportional to the velocity gradient in the fluid.
While a Newtonian fluid can have varying density and can be compressible, the statement incorrectly claims that it is incompressible and non-viscous. Therefore, statement 2 is incorrect.
Statement 3: An ideal fluid has negligible surface tension
An ideal fluid is a theoretical concept used in fluid mechanics to simplify the analysis of fluid flow. It is assumed to have no viscosity, no compressibility, and no surface tension.
Surface tension is the property of a liquid that allows it to resist an external force, thereby minimizing its surface area. While an ideal fluid is assumed to have negligible surface tension, it is important to note that real fluids do exhibit surface tension. Therefore, statement 3 is correct.
In conclusion, statement 1 and statement 3 are correct, while statement 2 is incorrect. Hence, the correct answer is option D) 1 and 3.
The Mach number is a dimensionless quantity that represents the ratio of the speed of an object to the speed of sound in the surrounding medium. It is defined as:
Mach number = Velocity of object / Speed of sound
When the Mach number is less than 0.2, it means that the object is traveling at a speed significantly lower than the speed of sound. In this case, the gas can be considered incompressible because the changes in density and pressure due to the motion of the object are negligible. Therefore, statement 1 is correct.
Statement 2: A Newtonian fluid is incompressible and non-viscous
A Newtonian fluid is a type of fluid whose viscosity is constant regardless of the applied shear stress. It follows Newton's law of viscosity, which states that the shear stress on a fluid is directly proportional to the velocity gradient in the fluid.
While a Newtonian fluid can have varying density and can be compressible, the statement incorrectly claims that it is incompressible and non-viscous. Therefore, statement 2 is incorrect.
Statement 3: An ideal fluid has negligible surface tension
An ideal fluid is a theoretical concept used in fluid mechanics to simplify the analysis of fluid flow. It is assumed to have no viscosity, no compressibility, and no surface tension.
Surface tension is the property of a liquid that allows it to resist an external force, thereby minimizing its surface area. While an ideal fluid is assumed to have negligible surface tension, it is important to note that real fluids do exhibit surface tension. Therefore, statement 3 is correct.
In conclusion, statement 1 and statement 3 are correct, while statement 2 is incorrect. Hence, the correct answer is option D) 1 and 3.
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