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Assertion : In a supersonic flow, the velocity increases as the area increases Reason: conservation of masses, momentum & energy require that dA/A should increase with dM/M for M greater than unity?
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Assertion : In a supersonic flow, the velocity increases as the area i...
Both the assertion and the reason are incorrect.
In a supersonic flow, the velocity decreases as the area increases, according to the principle of continuity. This principle states that, in a steady flow of an incompressible fluid, the mass flow rate (mass per unit time) through any given cross-sectional area is constant. In a compressible fluid, such as air at supersonic speeds, this principle still holds, but with some modifications.
For a fluid flowing through a converging nozzle, for example, the area of the nozzle decreases and the velocity increases, due to the conservation of mass and momentum. However, when the fluid exits the nozzle into a larger area, the velocity decreases and the pressure increases, again due to the principle of continuity. This is why supersonic aircraft have a tapered shape, with a narrower nose and wider tail, to maintain supersonic speeds while minimizing drag.
Therefore, the assertion is incorrect and the reason is also incorrect.
In a supersonic flow, the velocity decreases as the area increases, according to the principle of continuity. This principle states that, in a steady flow of an incompressible fluid, the mass flow rate (mass per unit time) through any given cross-sectional area is constant. In a compressible fluid, such as air at supersonic speeds, this principle still holds, but with some modifications.
For a fluid flowing through a converging nozzle, for example, the area of the nozzle decreases and the velocity increases, due to the conservation of mass and momentum. However, when the fluid exits the nozzle into a larger area, the velocity decreases and the pressure increases, again due to the principle of continuity. This is why supersonic aircraft have a tapered shape, with a narrower nose and wider tail, to maintain supersonic speeds while minimizing drag.
Therefore, the assertion is incorrect and the reason is also incorrect.
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Assertion : In a supersonic flow, the velocity increases as the area i...
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Assertion : In a supersonic flow, the velocity increases as the area increases Reason: conservation of masses, momentum & energy require that dA/A should increase with dM/M for M greater than unity?
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Assertion : In a supersonic flow, the velocity increases as the area increases Reason: conservation of masses, momentum & energy require that dA/A should increase with dM/M for M greater than unity? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Assertion : In a supersonic flow, the velocity increases as the area increases Reason: conservation of masses, momentum & energy require that dA/A should increase with dM/M for M greater than unity? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion : In a supersonic flow, the velocity increases as the area increases Reason: conservation of masses, momentum & energy require that dA/A should increase with dM/M for M greater than unity?.
Assertion : In a supersonic flow, the velocity increases as the area increases Reason: conservation of masses, momentum & energy require that dA/A should increase with dM/M for M greater than unity? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Assertion : In a supersonic flow, the velocity increases as the area increases Reason: conservation of masses, momentum & energy require that dA/A should increase with dM/M for M greater than unity? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion : In a supersonic flow, the velocity increases as the area increases Reason: conservation of masses, momentum & energy require that dA/A should increase with dM/M for M greater than unity?.
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