2013-3-6 Question Geometry Effects on Fluid Flow An incompressible liquid flows through the pipe shown in the fiqure.The velocity at location 2 is (choose one): 20 D iquid 1A=A,3 SOLUTION m=p护 2= pV=pV, 户= 2=4 4-11 us0oas8Pa90n8ti8iy Volumetric flow rate =A. 1 V dA. VMass flow i=pVavs Ac (kg/s) in =pV= rate The average velocity V is The volume flow defined as the average speed rate is the volume Cross section through a cross section. of fluid flowing through a cross section per u .12 62013-3-6 6 Question Geometry Effects on Fluid Flow An incompressible liquid flows through the pipe shown in the figure. The velocity at location 2 is (choose one): 2 1 Incompressible Liquid 2D D 1 2 1 2 in out Inlets Outlets m V m m V V V V ρ ρ ρ = = = = ∑ ∑ & & & & & & & & 11 2 2 2 1 1 21 1 2 2 2 2 2 1 21 1 2 2 1 / 4 / 4 2 4 AV A V A D VV V A D D D VVV D D V V π π = = = ⎛ ⎞ ⎛ ⎞ = = ⎜ ⎟ ⎜ ⎟ ⎝ ⎠ ⎝ ⎠ = r r r r r r r r r r 4-11 SOLUTION The average velocity Vavg is defined as the average speed through a cross section. No slip condition Use average velocity Mass flow rate Volumetric flow rate The volume flow rate is the volume of fluid flowing through a cross section per unit time. 4-12