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  2. Hazen–Williams equation - Wikipedia

    en.wikipedia.org/wiki/Hazen–Williams_equation

    The Hazen–Williams equation is an empirical relationship which relates the flow of water in a pipe with the physical properties of the pipe and the pressure drop caused by friction. It is used in the design of water pipe systems [ 1 ] such as fire sprinkler systems , [ 2 ] water supply networks , and irrigation systems.

  3. Pipe network analysis - Wikipedia

    en.wikipedia.org/wiki/Pipe_network_analysis

    Once the friction factors of the pipes are obtained (or calculated from pipe friction laws such as the Darcy-Weisbach equation), we can consider how to calculate the flow rates and head losses on the network. Generally the head losses (potential differences) at each node are neglected, and a solution is sought for the steady-state flows on the ...

  4. Hardy Cross method - Wikipedia

    en.wikipedia.org/wiki/Hardy_Cross_method

    The Hardy Cross method can be used to calculate the flow distribution in a pipe network. Consider the example of a simple pipe flow network shown at the right. For this example, the in and out flows will be 10 liters per second. We will consider n to be 2, and the head loss per unit flow r, and initial flow guess for each pipe as follows:

  5. Darcy–Weisbach equation - Wikipedia

    en.wikipedia.org/wiki/Darcy–Weisbach_equation

    Pressure has dimensions of energy per unit volume, therefore the pressure drop between two points must be proportional to the dynamic pressure q. We also know that pressure must be proportional to the length of the pipe between the two points L as the pressure drop per unit length is a constant.

  6. Volumetric flow rate - Wikipedia

    en.wikipedia.org/wiki/Volumetric_flow_rate

    The area required to calculate the volumetric flow rate is real or imaginary, flat or curved, either as a cross-sectional area or a surface. The vector area is a combination of the magnitude of the area through which the volume passes through, A , and a unit vector normal to the area, n ^ {\displaystyle {\hat {\mathbf {n} }}} .

  7. Hydraulic diameter - Wikipedia

    en.wikipedia.org/wiki/Hydraulic_diameter

    Open from top by definition so that the wetted perimeter consists of the 3 sides of the duct (2 on the side and the base). D H = 4 a b 2 a + b {\displaystyle D_{\text{H}}={\frac {4ab}{2a+b}}} For the limiting case of a very wide duct, i.e. a slot of width b , where b ≫ a , and a is the water depth, then D H = 4 a .

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  9. Manning formula - Wikipedia

    en.wikipedia.org/wiki/Manning_formula

    This means the greater the hydraulic radius, the larger volume of water the channel can carry. Based on the 'constant shear stress at the boundary' assumption, [ 6 ] hydraulic radius is defined as the ratio of the channel's cross-sectional area of the flow to its wetted perimeter (the portion of the cross-section's perimeter that is "wet"):