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Water is pumped at a steady uniform flow rate of 0.01 m3/s through a horizontal smooth circular pipe of 100 mm diameter. Given that the Reynolds number is 800 and g is 9.81 m/s2 , the head loss (in meters, up to one decimal place) per km length due to friction would be____ 

    Correct answer is '66.10'. Can you explain this answer?
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    Given Information:

    - Flow rate: 0.01 m3/s
    - Pipe diameter: 100 mm
    - Reynolds number: 800
    - Acceleration due to gravity: 9.81 m/s2

    Calculating Velocity:

    To calculate the velocity of water flowing through the pipe, we can use the formula:
    Velocity (V) = Flow rate (Q) / Cross-sectional area (A)

    Given that the pipe is circular, we can calculate the cross-sectional area using the formula for the area of a circle:
    A = π * (d/2)2

    Substituting the values, we get:
    A = π * (0.1/2)2 = 0.00785 m2

    Now, substituting the values of flow rate and cross-sectional area, we can calculate the velocity:
    V = 0.01 m3/s / 0.00785 m2 ≈ 1.27 m/s

    Calculating Reynolds Number:

    The Reynolds number is a dimensionless quantity that represents the flow characteristics of a fluid. It can be calculated using the formula:
    Re = (ρ * V * D) / μ

    Where:
    - ρ is the density of the fluid
    - V is the velocity of the fluid
    - D is the diameter of the pipe
    - μ is the dynamic viscosity of the fluid

    Given that the Reynolds number is 800 and the diameter of the pipe is 100 mm, we can calculate the dynamic viscosity:
    800 = (ρ * 1.27 * 0.1) / μ

    Calculating Head Loss:

    The head loss due to friction in a pipe can be calculated using the Darcy-Weisbach equation:
    hL = (f * (L/D) * (V2/2g))

    Where:
    - hL is the head loss
    - f is the Darcy friction factor
    - L is the length of the pipe
    - D is the diameter of the pipe
    - V is the velocity of the fluid
    - g is the acceleration due to gravity

    To calculate the head loss, we need to determine the Darcy friction factor. For laminar flow, the Darcy friction factor can be calculated using the formula:
    f = 16 / Re

    Substituting the values, we get:
    f = 16 / 800 = 0.02

    Given that the length of the pipe is 1 km (1000 m), we can now calculate the head loss:
    hL = (0.02 * (1000/0.1) * (1.27^2/2 * 9.81)) ≈ 66.10 m

    Therefore, the head loss per km length due to friction in this pipe is approximately 66.10 meters.
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    Water is pumped at a steady uniform flow rate of 0.01 m3/s through a horizontal smooth circular pipe of 100 mm diameter. Given that the Reynolds number is 800 and g is 9.81 m/s2 , the head loss (in meters, up to one decimal place) per km length due to friction would be____Correct answer is '66.10'. Can you explain this answer?
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    Water is pumped at a steady uniform flow rate of 0.01 m3/s through a horizontal smooth circular pipe of 100 mm diameter. Given that the Reynolds number is 800 and g is 9.81 m/s2 , the head loss (in meters, up to one decimal place) per km length due to friction would be____Correct answer is '66.10'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Water is pumped at a steady uniform flow rate of 0.01 m3/s through a horizontal smooth circular pipe of 100 mm diameter. Given that the Reynolds number is 800 and g is 9.81 m/s2 , the head loss (in meters, up to one decimal place) per km length due to friction would be____Correct answer is '66.10'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water is pumped at a steady uniform flow rate of 0.01 m3/s through a horizontal smooth circular pipe of 100 mm diameter. Given that the Reynolds number is 800 and g is 9.81 m/s2 , the head loss (in meters, up to one decimal place) per km length due to friction would be____Correct answer is '66.10'. Can you explain this answer?.
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