Problem Specification: Consider fluid flowing through a circular pipe with expansion.\ The geometry of the pipe is shown in figure below.

D_(1)=0.2m,D_(2)=0.3m,L_(1)=0.2m

. The\ 2-D pipe is symmetric in y direction. The inlet velocity

V_(in)=1(m)/(s)

. Consider the velocity to\ be constant over the inlet cross-section. The fluid exhausts into the ambient atmosphere\ which is at a pressure of

1atm

.\ Take density

\\\ ho =1k(g)/(m^(3))

and coefficient of viscosity

\\\\mu =2\\\\times 10^(-3)k(g)/(ms)

.\ Analysis:\ Calculate the Reynolds number based on the inlet velocity and pipe diameter. Is the flow laminar or turbulent?\ Solve this problem using FLUENT for two settings: one is

L_(2)=1m

, the other is

L_(2)=4.5m

.\ Plot the velocity contour and velocity vectors in the pipe. Also plot velocity profile at different locations of the\ channel's cross sessions.\ Discuss the difference for the two cases.

Problem Specification: Consider fluid flowing through a circular pipe with expansion. The geometry of the pipe is shown in figure below. D1=0.2m,D2=0.3m,L1=0.2m. The 2-D pipe is symmetric in y direction. The inlet velocity Vin=1m/s. Consider the velocity to be constant over the inlet cross-section. The fluid exhausts into the ambient atmosphere which is at a pressure of 1atm. Take density =1kg/m3 and coefficient of viscosity =2103kg/(ms). Analysis: 1. Calculate the Reynolds number based on the inlet velocity and pipe diameter. Is the flow laminar or turbulent? 2. Solve this problem using FLUENT for two settings: one is L2=1m, the other is L2=4.5m. Plot the velocity contour and velocity vectors in the pipe. Also plot velocity profile at different locations of the channel's cross sessions. 3. Discuss the difference for the two cases