多孔擴散管為一工程常見之設備，而於以往的分析中，皆不易求得其管內速度與流量之理論解析解。 本論文研究之目的為計算多孔擴散管內，速度與流量分布之分析。研究方法為利用流體力學理論，推導擴散管內動量方程式、連續方程式、與能量方程式，將此整合得一與速度有關之非線性常微分方程，而以參數α、β控制之，而解得此控制方程式之理論解析解，計算管內任一點之速度與流量。 而於工程實用上，希望管內噴流口各點之流量大小分佈一致，以達最均勻之噴灑效果。於分析上定義管內最大流量與最小流量之比值為均勻度Vr值，而以參數α、β來判斷均勻度大小，做為工程實務上判斷之依據。 The multiport diffuser is a common device in civil engineering . But in pervious research it is very difficult to find the velocity and discharge analytical solution . The contents in this thesis we study the analytical solution of velocity and discharge distribution .At first we get the momentum equation , continuity equation , and energy equation from fluid mechanics theory . Then we get the governing equation of the velocity of the multiport diffuser which consist of two parameters α and β . Solve this governing equation ,we can get the velocity and discharge analytical solution at any point of multiport diffuser . In practical engineering we want the discharge of the multiport diffuser remain average at every point in order to have a uniform sprinkling effect . So we define a uniform number(Vr) to determine the uniform degree .Thus if we get the governing parameter α and β , we can know the uniform degree in this multiport diffuser .
