Author: Rajesh Bhaskaran, Cornell University

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# Laminar Pipe Flow

Created using ANSYS 16.2

### Learning Goals

In this module, you'll learn to:

- Develop the numerical solution to a laminar pipe flow problem in ANSYS Fluent
- Verify the numerical results from ANSYS Fluent
- Connect the ANSYS steps to concepts covered in the Computational Fluid Dynamics section

### Problem Specification

This module is drawn from MAE 4230/5230 Intermediate Fluid Dynamics at Cornell University.

Consider fluid flowing through a circular pipe of constant radius as illustrated below. The figure is not to scale. The pipe diameter *D* = 0.2 m and length *L* = 3 m Consider the inlet velocity to be constant over the cross-section and equal to 1 m/s. The pressure at the pipe outlet is 1 atm. Take density *ρ = 1 kg/ m* *3 *and coefficient of viscosity *µ = 2 x 10* *-3 **kg/(m*s).* These parameters have been chosen to get a desired Reynolds number of 100 and don't correspond to any real fluid.

We'll solve this problem numerically using ANSYS Fluent. We'll look at the following results:

Velocity vectors

Velocity magnitude contours

Pressure contours

Velocity profile at the outlet

We'll verify the results by following a systematic process which includes comparing the results with the analytical solution in the full-developed region.