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The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , is
- a)the flow is steady, uniform, incompressible, along a streamline
- b)the flow is steady, frictionless, incompressible, along a streamline
- c)the flow is uniform, frictionless, p is a function of P along a streamline
- d)the flow is steady, frictionless, p is a function of P along a streamline
Correct answer is option 'D'. Can you explain this answer?
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The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = cons...
∫dP/ρ + v2/2 + gy = constant
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This expression is obtained by integration of Euler’s equation. The Euler equation is integrated along the streamline in a steady, frictionless flow.
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The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = cons...
Assumption in the given expression
The assumption used to derive the expression ∫dP/ρ v2/2 gy = constant is that the flow is steady, frictionless, and p is a function of P along a streamline.
Explanation
The Bernoulli's equation is based on the assumption of steady, incompressible, and frictionless flow of a fluid along a streamline. It states that the sum of pressure energy, kinetic energy, and potential energy per unit volume of a fluid is constant along a streamline.
The given expression is a form of the Bernoulli's equation. Here, P is the pressure of the fluid, ρ is its density, v is its velocity, g is the acceleration due to gravity, and y is the height above a reference plane.
The assumption of p being a function of P along a streamline means that the fluid is flowing in such a way that the pressure at any point is a function of the pressure at another point along the same streamline. This assumption is valid for incompressible fluids, where the density of the fluid remains constant along a streamline.
Therefore, the correct assumption used to derive the given expression is that the flow is steady, frictionless, and p is a function of P along a streamline.
The assumption used to derive the expression ∫dP/ρ v2/2 gy = constant is that the flow is steady, frictionless, and p is a function of P along a streamline.
Explanation
The Bernoulli's equation is based on the assumption of steady, incompressible, and frictionless flow of a fluid along a streamline. It states that the sum of pressure energy, kinetic energy, and potential energy per unit volume of a fluid is constant along a streamline.
The given expression is a form of the Bernoulli's equation. Here, P is the pressure of the fluid, ρ is its density, v is its velocity, g is the acceleration due to gravity, and y is the height above a reference plane.
The assumption of p being a function of P along a streamline means that the fluid is flowing in such a way that the pressure at any point is a function of the pressure at another point along the same streamline. This assumption is valid for incompressible fluids, where the density of the fluid remains constant along a streamline.
Therefore, the correct assumption used to derive the given expression is that the flow is steady, frictionless, and p is a function of P along a streamline.
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The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , isa)the flow is steady, uniform, incompressible, along a streamlineb)the flow is steady, frictionless, incompressible, along a streamlinec)the flow is uniform, frictionless, p is a function of P along a streamlined)the flow is steady, frictionless, p is a function of P along a streamlineCorrect answer is option 'D'. Can you explain this answer?
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The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , isa)the flow is steady, uniform, incompressible, along a streamlineb)the flow is steady, frictionless, incompressible, along a streamlinec)the flow is uniform, frictionless, p is a function of P along a streamlined)the flow is steady, frictionless, p is a function of P along a streamlineCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , isa)the flow is steady, uniform, incompressible, along a streamlineb)the flow is steady, frictionless, incompressible, along a streamlinec)the flow is uniform, frictionless, p is a function of P along a streamlined)the flow is steady, frictionless, p is a function of P along a streamlineCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , isa)the flow is steady, uniform, incompressible, along a streamlineb)the flow is steady, frictionless, incompressible, along a streamlinec)the flow is uniform, frictionless, p is a function of P along a streamlined)the flow is steady, frictionless, p is a function of P along a streamlineCorrect answer is option 'D'. Can you explain this answer?.
The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , isa)the flow is steady, uniform, incompressible, along a streamlineb)the flow is steady, frictionless, incompressible, along a streamlinec)the flow is uniform, frictionless, p is a function of P along a streamlined)the flow is steady, frictionless, p is a function of P along a streamlineCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , isa)the flow is steady, uniform, incompressible, along a streamlineb)the flow is steady, frictionless, incompressible, along a streamlinec)the flow is uniform, frictionless, p is a function of P along a streamlined)the flow is steady, frictionless, p is a function of P along a streamlineCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , isa)the flow is steady, uniform, incompressible, along a streamlineb)the flow is steady, frictionless, incompressible, along a streamlinec)the flow is uniform, frictionless, p is a function of P along a streamlined)the flow is steady, frictionless, p is a function of P along a streamlineCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , isa)the flow is steady, uniform, incompressible, along a streamlineb)the flow is steady, frictionless, incompressible, along a streamlinec)the flow is uniform, frictionless, p is a function of P along a streamlined)the flow is steady, frictionless, p is a function of P along a streamlineCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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ample number of questions to practice The assumption used to derive the expression ∫dP/ρ + v2/2 + gy = constant , isa)the flow is steady, uniform, incompressible, along a streamlineb)the flow is steady, frictionless, incompressible, along a streamlinec)the flow is uniform, frictionless, p is a function of P along a streamlined)the flow is steady, frictionless, p is a function of P along a streamlineCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
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