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A steady two-dimensional flow field is specified by the stream function ψ =  kx3 y, where x and y are in meter and the constant k = 1 m-2s-1. The magnitude of acceleration at a point (x, y) = (1 m, 1 m) is ________ m/s2 (round off to 2 decimal places). 
    Correct answer is '4.2426'. Can you explain this answer?
    Most Upvoted Answer
    A steady two-dimensional flow field is specified by the stream functio...
    Ψ(x,y) = 2xy - x² - y²

    To find the velocity components u and v, we use the relation:

    u = ∂ψ/∂y and v = -∂ψ/∂x

    Taking partial derivatives, we get:

    u = 2x and v = 2y

    Therefore, the velocity vector function is given by:

    V(x,y) = (2x, 2y)

    This flow field represents a uniform flow in the x and y directions, with a magnitude of 2 units per second. The streamlines are given by the equation:

    2xy - x² - y² = constant

    which are hyperbolic in shape. The flow is symmetric about the origin, and the velocity vectors are perpendicular to the streamlines.
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    Community Answer
    A steady two-dimensional flow field is specified by the stream functio...
    ψ =  kx3 y – stream function is Given 

    = 3 unit

    Hence, the correct answer is 4.2426.
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    A steady two-dimensional flow field is specified by the stream function ψ = kx3 y, where x and y are in meter and the constant k = 1 m-2s-1. The magnitude of acceleration at a point (x, y) = (1 m, 1 m) is ________ m/s2 (round off to 2 decimal places).Correct answer is '4.2426'. Can you explain this answer?
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    A steady two-dimensional flow field is specified by the stream function ψ = kx3 y, where x and y are in meter and the constant k = 1 m-2s-1. The magnitude of acceleration at a point (x, y) = (1 m, 1 m) is ________ m/s2 (round off to 2 decimal places).Correct answer is '4.2426'. 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 A steady two-dimensional flow field is specified by the stream function ψ = kx3 y, where x and y are in meter and the constant k = 1 m-2s-1. The magnitude of acceleration at a point (x, y) = (1 m, 1 m) is ________ m/s2 (round off to 2 decimal places).Correct answer is '4.2426'. 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 A steady two-dimensional flow field is specified by the stream function ψ = kx3 y, where x and y are in meter and the constant k = 1 m-2s-1. The magnitude of acceleration at a point (x, y) = (1 m, 1 m) is ________ m/s2 (round off to 2 decimal places).Correct answer is '4.2426'. Can you explain this answer?.
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