Exact solutions of Navier-Stokes equations using Ansys Fluent® Software
Exact solutions of Navier-Stokes equations for Couette flow and Poiseuille flow are derived first. Followed by steady state simulations using Ansys Fluent®, the fluid simulation software, for the same to show the accuracy of the simulations. The investigations are further extended to understand the effect of increasing inlet velocity for all the examples. The results include the flow visualization showing velocity profiles under different conditions for enhanced understanding of basic principles. The present study will serve as a starting point for mechanical, aeronautical, and aerospace engineering students to better understand the fundamental concepts associated with viscous flow.
Learning Outcomes
- Understand governing equations for viscous fluids flow.
- Describe the effect of various assumptions involved while solving the Navier-Stokes equations.
- Analytically solve the Navier-Stokes equations under the stated assumptions.
- Explain the effect of different boundary conditions on the derived velocity profile resulting in different kinds of the flow.
- Understand the effect of varying boundary conditions through flow visualization.
Applicable Courses for Use
- Introduction to Fluid Mechanics
- Advanced Fluid Mechanics
- Computational Methods in Fluid Mechanics
- Incompressible Flows
- Introduction to Aerodynamics
Downloadable Content
- Case study pdf file
- Inlet_2mps_TopPlate_2mps – case
- data and mesh files.
