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Unsteady Flow Past a Cylinder
Created using ANSYS 13.0
Problem Specification
Consider the unsteady state case of a fluid flowing past a cylinder, as illustrated above
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Author: John Singleton and Rajesh Bhaskaran Problem Specification |
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Under Construction!! |
Problem Specification
In this tutorial we will simulate the unsteady flow of a fluid past a cylinder. For this tutorial we will use a Reynolds Number of 120. ThusIn order to simplify the computation, the diameter of the cylinder is set to 1 m, the velocity x component of the fluid will be velocity is set to 1 m/s , and the density of the fluid density will be is set to 1 kg/m^3. Thus, the dynamic viscosity will must be set to 8.333x10^-3 kg/m*s in order to obtain the desired Reynolds number.
Compared to the steady case, the unsteady case includes an additional time-derivative term in the Navier-Stokes equations:
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\begin{eqnarray}
\frac{\partial \vec{u}}{\partial t} + \rho (\vec{u}\cdot \triangledown)\vec{u} = -\triangledown p + \mu \triangledown^{2} \vec{u}
\end{eqnarray}
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The methods implemented by FLUENT to solve a time dependent system are very similar to those used in a steady-state case. In this case, the domain and the cylinder diameter will be 1 mboundary conditions will be the same as the Steady Flow Past a Cylinder. However, because this is a transient system, initial conditions at t=0 are required. To solve the system, we need to input the desired time range and time step into FLUENT. The program will then compute a solution for the first time step, iterating until convergence or a limit of iterations is reached, then will proceed to the next time step, "marching" through time until the end time is reached.
Go to Step 1: Pre-Analysis and & Start-Up
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