ANSYS Fluent Lab
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Simulation of two-dimensional, stationary, subsonic compressible flow of a ideal gas through a convergent nozzle.
Objectives
Objectives
Generate an unstructured triangular mesh.
Simulate an axisymmetric ideal gas in a convergent nozzle
Display contour plots of pressure, temperature, velocity, and local Mach number.
Plot pressure, temperature, velocity, and local Mach number curves on the symmetry axis.
Quantitatively confirm the theoretical laws of compressible ideal gas flow through a convergent nozzle.
Problem description
Problem description
Let us consider the flow of ideal air through a convergent nozzle with the given geometric configuration presented in the opposite figure: length = 0.5 m, diameter at the left = 0.46 m, diameter at the right = 0.26 m, Mach number at the inlet = 0.65, and temperature at the inlet is 450 K. Using Ansys Fluent, simulate this flow, and determine the contours of pressure, temperature, density, Mach number, local velocity, and plot their distributions along the symmetry axis. Confirm qualitatively the theoretical variation laws of this flow configuration presented in the figure. Assumptions: the flow is steady, non-viscous, and axisymmetric.
Step 1: Geometry creation
Step 1: Geometry creation
Step 2: Mesh generation
Step 2: Mesh generation
Step 3: Simulation in Fluent
Step 3: Simulation in Fluent
Step 4: Post-Processing
Step 4: Post-Processing
Step 5: Results & Validation
Step 5: Results & Validation
Due to the reduction in the cross-sectional area of the convergent nozzle and the mass conservation principle, the velocity and Mach number increase with nozzle length, resulting in a decrease in pressure, temperature, and density in accordance with the linearity of the ideal gas law. Based on the CFD results obtained, it is evident that the theoretical validation of the results is achieved.
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