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The continuity equation for a steady flow states that
- a)Velocity field is continuous at all points in flow field
- b)The velocity is tangential to the streamlines.
- c)The stream function exists for steady flows.
- d)The net efflux rate of mass through the control surfaces is zero
Correct answer is option 'C'. Can you explain this answer?
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The continuity equation for a steady flow states thata)Velocity field ...
Ans. (c) It is a possible case of fluid flow therefore the stream function exists for steady flows.
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The continuity equation for a steady flow states thata)Velocity field ...
Explanation:
The continuity equation is a fundamental principle of fluid dynamics, which states that the mass flow rate of a fluid in a steady flow system remains constant.
The equation is expressed as:
∇.v = 0
where ∇ is the divergence operator and v is the velocity vector.
This equation implies that the streamlines in a steady flow are continuous and that the net efflux rate of mass through any control surface is zero.
Therefore, option 'C' is the correct answer.
Let's understand the continuity equation in detail:
- Mass conservation: The continuity equation is based on the principle of mass conservation, which states that mass cannot be created or destroyed, it can only change form.
- Steady flow: The continuity equation applies to steady flow systems, where the velocity and other fluid properties do not change with time.
- Incompressible flow: The continuity equation applies to incompressible flow, where the density of the fluid remains constant.
- Divergence: The divergence operator (∇) is a mathematical operator that measures the rate at which a vector field diverges or converges at a particular point in space.
- Velocity vector: The velocity vector (v) represents the flow rate of the fluid at each point in space.
- Zero efflux rate: The continuity equation implies that the net efflux rate of mass through any control surface is zero, which means that the mass flow rate entering the control surface is equal to the mass flow rate leaving the control surface.
- Stream function: The stream function is a mathematical function that describes the flow of an incompressible fluid in two dimensions. It is related to the velocity vector by the two-dimensional continuity equation.
In conclusion, the continuity equation is an important principle of fluid dynamics that describes the mass conservation in a steady, incompressible flow system. The stream function exists for steady flows, and the net efflux rate of mass through any control surface is zero.
The continuity equation is a fundamental principle of fluid dynamics, which states that the mass flow rate of a fluid in a steady flow system remains constant.
The equation is expressed as:
∇.v = 0
where ∇ is the divergence operator and v is the velocity vector.
This equation implies that the streamlines in a steady flow are continuous and that the net efflux rate of mass through any control surface is zero.
Therefore, option 'C' is the correct answer.
Let's understand the continuity equation in detail:
- Mass conservation: The continuity equation is based on the principle of mass conservation, which states that mass cannot be created or destroyed, it can only change form.
- Steady flow: The continuity equation applies to steady flow systems, where the velocity and other fluid properties do not change with time.
- Incompressible flow: The continuity equation applies to incompressible flow, where the density of the fluid remains constant.
- Divergence: The divergence operator (∇) is a mathematical operator that measures the rate at which a vector field diverges or converges at a particular point in space.
- Velocity vector: The velocity vector (v) represents the flow rate of the fluid at each point in space.
- Zero efflux rate: The continuity equation implies that the net efflux rate of mass through any control surface is zero, which means that the mass flow rate entering the control surface is equal to the mass flow rate leaving the control surface.
- Stream function: The stream function is a mathematical function that describes the flow of an incompressible fluid in two dimensions. It is related to the velocity vector by the two-dimensional continuity equation.
In conclusion, the continuity equation is an important principle of fluid dynamics that describes the mass conservation in a steady, incompressible flow system. The stream function exists for steady flows, and the net efflux rate of mass through any control surface is zero.
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The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. Can you explain this answer?
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The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. 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 The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. 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 The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. Can you explain this answer?.
The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. 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 The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. 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 The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. Can you explain this answer?.
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The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The continuity equation for a steady flow states thata)Velocity field is continuous at all points in flow fieldb)The velocity is tangential to the streamlines.c)The stream function exists for steady flows.d)The net efflux rate of mass through the control surfaces is zeroCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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