#' Minor Losses
#' @description Although they often account for a major portion of the head loss,
#' especially in process piping, the additional losses due to entries and exits,
#' fittings and valves are traditionally referred to as minor losses.
#' These losses represent additional energy dissipation in the flow, usually
#' caused by secondary flows induced by curvature or recirculation.
#' The minor losses are any head loss present in addition to the head loss for
#' the same length of straight pipe.
#' allows for easy integration of minor losses into the Darcy-Weisbach equation.
#' Zeta is the sum of all of the loss coefficients in the length of pipe, each
#' contributing to the overall head loss. Although Zeta appears to be a constant
#' coefficient, it varies with different flow conditions.
#' Factors affecting the value of K include: the exact geometry of the component
#' in question; the flow Reynolds Number; proximity to other fittings, etc.
#' (Tabulated values of K are for components in isolation - with long straight
#' runs of pipe upstream and downstream.)
#' @param flow cubic meter per second (m3/s)
#' @param dn inner diameter of pipe (m)
#' @param zeta loss coefficient
#'
#' @return minor losses in meter
#' @export
#'
#' @examples
#' minor_losses( flow = 0.042,
#' dn = 0.150,
#' zeta = 3)
minor_losses <- function(flow, dn, zeta){
v <- velocity(flow, dn)
losses <- zeta * ((v^2)/(2*9.807))
}
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