Head Loss in the Pipe Line

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    Hydraulics LaboratoryExperiment Report

    Name: Ahmed Essam Mansour

    Section: "1", Monday 2-5 pm

    Title: Head loss in the pipe line

    Date: 2 October-2006

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    Objectives:

    To determine the head loss and friction factor for laminar andturbulent flow in a smooth pipe over a range of Reynolds number.

    To find the relationship between Head loss and the velocity offlow, and between the friction factor and the Reynolds number.

    Theory:

    When liquids flow in circular pipes, losses in energy occur due to

    frictional resistance at the pipe's wall. The energy losses are measured bytheHead Loss"hL" , and the frictional resistance is evaluated by using a

    parameter called the Friction Factor " f ".

    The Head Loss "hL" is generally measured using Darcy's Equation;

    And its relation to the velocity of flow depends on the type of flow

    specified by Reynolds number as follows;

    The Friction factor "f " of a flow depends on two parameters; the

    Reynolds number and the Relative roughness of a pipe's wall.

    As we are dealing with a smooth pipe in this experiment the second

    parameter will be neglected and the friction factor will be evaluated as

    follows;

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    Reynolds number depend mainly on the velocity of flow and the

    properties of the fluid, and is evaluated using the formula;

    Reynolds number is used to distinguish between two main regions in flow

    i.e. Turbulent flow (Re > 4000) and Laminar flow (Re < 2000).

    Experimental measurements will include the measurement of the weight

    of oil in a specified time, which will be used to calculate the flow rate

    from which the velocity will be determined;

    And the Heads at two point on the pipe with a know distance betweenthem to be used to find the head loss "hL" along that distance.

    This head loss is measured by mercury manometers, so the equivalent

    value for head loss in oil is found by;

    Then the experimental value of the friction factor is to be measured "f "

    by using Darcy;s equation specified above.

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    Apparatus:Procedures:

    1. Run the apparatus for few minutes to warm up the motor andensure steady conditions.

    2. When the flow was steady, the reading of h10 and h18 were takenand the time of filling a know weight of oil was recorded.

    3. A series of trials were done by taking different hL and flow rate.

    Results:

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    Weight

    (kg)

    Time

    (s)

    Q

    (m3/s)

    V

    (m/s)

    HL forHg

    HLfor

    Oil

    f

    (exp)

    f

    (theo)Re

    10 1.29

    10 0.32

    10 0.52

    20 1.07

    20 0.40

    20 0.41

    30 0.47

    30 0.26

    30 0.23

    Conclusions:

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    As noticed from the tabulated data, there are several errors that caused

    unexpected results;

    From the series trails done, the rate of flow was disordered as itwas supposed to increase in each trial.

    The differences between the theoretical and experimental results ofthe friction factor are large.

    These errors may be returned to misreading the apparatus and to the

    weight device which causes problems during the experiment.

    The head loss increases as the velocity of flow increase and this accepts

    the theoretical concepts.