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Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20 m with Reynolds number
ReD = 500. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit.
The Reynolds number at the exit of the pipe is___________.
    Correct answer is '500'. Can you explain this answer?
    Verified Answer
    Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20...

    From above expiration, Reynold’s Number is independent of flow profile. Hence, Reynold’s Number for parabolic flow profile is 500.
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    Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20...
    Solution:

    Reynolds number (Re) is defined as the ratio of inertial forces to viscous forces and it is a dimensionless quantity used in fluid mechanics to predict flow patterns in different fluid flow situations.

    Reynolds number formula:

    Re = (ρVD)/μ

    Where,
    ρ = density of fluid
    V = velocity of fluid
    D = diameter of the pipe
    μ = dynamic viscosity of fluid

    Given data,
    Length of pipe (L) = 5.0 m
    Diameter of pipe (D) = 0.20 m
    Reynolds number at inlet (ReD) = 500

    Velocity profile:
    Uniform at inlet and parabolic at exit.

    Reynolds number at the exit of pipe:

    Since the diameter of the pipe (D) remains constant, the Reynolds number is directly proportional to the velocity (V) of the fluid.

    As the velocity profile at inlet is uniform, the velocity of fluid remains constant throughout the length of the pipe.

    Therefore, the Reynolds number remains constant throughout the pipe.

    Thus, the Reynolds number at the exit of the pipe is also 500, same as that of inlet.

    Hence, the correct answer is '500'.
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    Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20...
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    Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20 m with Reynolds numberReD = 500. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit.The Reynolds number at the exit of the pipe is___________.Correct answer is '500'. Can you explain this answer?
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    Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20 m with Reynolds numberReD = 500. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit.The Reynolds number at the exit of the pipe is___________.Correct answer is '500'. 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 Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20 m with Reynolds numberReD = 500. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit.The Reynolds number at the exit of the pipe is___________.Correct answer is '500'. 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 Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20 m with Reynolds numberReD = 500. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit.The Reynolds number at the exit of the pipe is___________.Correct answer is '500'. Can you explain this answer?.
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