Wedge wire lateral assemblies, also called header lateral assemblies, is made of several wedge wire screen laterals and supporting round hub. There are thread ending and flange ending wedge wire screen laterals for choice to suit different machines. Because of the different lateral endings, the connection types of lateral assemblies are also different including thread connection and flange connection. Featured by the different designs, wedge wire lateral assemblies are widely used in under-draining applications for filtering. Besides, it also can be used in various machines for screening.