Exercises

Exercise 1: Vertical Channel Flow

Problem Specification (pdf file)

Exercise 2: Laminar Flow within Two Rotating Concentric Cylinders

Contributed by Prof. John Cimbala and Matthew Erdman, The Pennsylvania State University

Problem Specification (pdf file)

The video below shows how to use ANSYS Fluent to set up and solve a problem like this.

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Exercise 3: Laminar Pipe Flow

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Consider developing flow in a pipe of length L = 8 m, diameter D = 0.2 m, ρ = 1 kg/m3 , µ =2 × 10^−3 kg/m s, and entrance velocity u_in = 1 m/s (the conditions specified in the Problem Specification section). Use FLUENT with the "second-order upwind" scheme for momentum to solve for the flowfield on meshes of 100 × 5, 100 × 10 and 100 × 20 (axial divisions × radial divisions).

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Hint: To interpret your results, you should keep in mind that the first or second-order upwind discretization applies only to the inertia terms in the momentum equation. The discretization of the viscous terms is always second-order accurate.

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