A manifold (100) of a flowmeter (5) includes a body (120) having a first face (104) with a first orifice (108) and a second orifice (110) and an opposing second face (204) with a third orifice (114) and a fourth orifice (116), wherein the first orifice (108) and third orifice (114) each extend into the body (120) and meet to define a first flow path (170) traversing the body (120), and wherein the second orifice (110) and fourth orifice (116) each extend into the body (120) and meet to define a second flow path (180) traversing the body (120), wherein the third orifice (114) and fourth orifice (116) are each adapted to fluidly communicate with a first and second flow tube (13, 13′) of the flowmeter (5), respectively; and a non-circular bifurcated flow opening (112), said non-circular bifurcated flow opening (112) including a non-circular wall portion (106, 106′) projecting from said first face (104) and surrounding the first orifice (108) and second orifice (110), wherein said non-circular wall portion (106, 106′) is configured to change a cross section of a fluid flow path exiting said first orifice (108) and said second orifice (110).