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The Euler's equation for the motion of liquids is based upon the assumption that
- a)the fluid is non-viscous, homogeneous and incompressible
- b)the velocity of flow is uniform over the section
- c)the flow is continuous, steady and along the stream line
- d)all of the above
Correct answer is option 'D'. Can you explain this answer?
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The Euler's equation for the motion of liquids is based upon the a...
The Eulers equation for the motion of liquids is widely used in the field of fluid mechanics. It is an important equation that helps to understand the behavior of liquids in motion. The equation is based upon certain assumptions that are explained below.
Assumptions of Eulers equation
The Eulers equation is based upon the following assumptions:
a) The fluid is non-viscous, homogeneous and incompressible: This means that the fluid does not have any internal friction, it has the same properties throughout and it cannot be compressed. In other words, the fluid is assumed to be ideal.
b) The velocity of flow is uniform over the section: This means that the velocity of the fluid is the same at all points across a section of the fluid. In other words, there is no variation in the velocity of the fluid within the section.
c) The flow is continuous, steady and along the streamline: This means that the flow of the fluid is continuous, there are no breaks or gaps in the flow, the flow is steady and does not change with time, and the flow is along the streamline or path of the fluid.
Explanation of the answer
The correct answer to the question is option 'D', which is 'all of the above'. This means that all the assumptions mentioned above are considered in the Eulers equation.
The Eulers equation is used to describe the motion of an ideal fluid. It is a mathematical equation that relates the pressure, velocity, and density of the fluid. The equation is derived from the conservation of mass and momentum equations.
In conclusion, the Eulers equation for the motion of liquids is an important equation in the field of fluid mechanics. It is based upon certain assumptions that include the non-viscous, homogeneous and incompressible nature of the fluid, uniform velocity of flow over the section, and continuous, steady flow along the streamline.
Assumptions of Eulers equation
The Eulers equation is based upon the following assumptions:
a) The fluid is non-viscous, homogeneous and incompressible: This means that the fluid does not have any internal friction, it has the same properties throughout and it cannot be compressed. In other words, the fluid is assumed to be ideal.
b) The velocity of flow is uniform over the section: This means that the velocity of the fluid is the same at all points across a section of the fluid. In other words, there is no variation in the velocity of the fluid within the section.
c) The flow is continuous, steady and along the streamline: This means that the flow of the fluid is continuous, there are no breaks or gaps in the flow, the flow is steady and does not change with time, and the flow is along the streamline or path of the fluid.
Explanation of the answer
The correct answer to the question is option 'D', which is 'all of the above'. This means that all the assumptions mentioned above are considered in the Eulers equation.
The Eulers equation is used to describe the motion of an ideal fluid. It is a mathematical equation that relates the pressure, velocity, and density of the fluid. The equation is derived from the conservation of mass and momentum equations.
In conclusion, the Eulers equation for the motion of liquids is an important equation in the field of fluid mechanics. It is based upon certain assumptions that include the non-viscous, homogeneous and incompressible nature of the fluid, uniform velocity of flow over the section, and continuous, steady flow along the streamline.
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The Euler's equation for the motion of liquids is based upon the assumption thata)the fluid is non-viscous, homogeneous and incompressibleb)the velocity of flow is uniform over the sectionc)the flow is continuous, steady and along the stream lined)all of the aboveCorrect answer is option 'D'. Can you explain this answer?
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