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Articles

Shape optimization of unsteady natural convection fields

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Pages 691-707 | Received 12 Dec 2016, Accepted 25 May 2017, Published online: 08 Jun 2017

Figures & data

Figure 1. Natural convection field.

Figure 1. Natural convection field.

Figure 2. Numerical model and boundary conditions for Park’s problem.

Figure 2. Numerical model and boundary conditions for Park’s problem.

Figure 3. Shapes with finite-element meshes for Park’s problem.

Figure 3. Shapes with finite-element meshes for Park’s problem.

Figure 4. Temperature distributions, flow velocity distributions, and streamlines at time t=T=600 for Park’s problem.

Figure 4. Temperature distributions, flow velocity distributions, and streamlines at time t=T=600 for Park’s problem.

Figure 5. Comparison of target shape and identified shape for Park problem.

Figure 5. Comparison of target shape and identified shape for Park problem.

Figure 6. Numerical results: Iterative history for Park’s problem.

Figure 6. Numerical results: Iterative history for Park’s problem.

Figure 7. Numerical model and boundary condition for heat discharge maximization problem.

Figure 7. Numerical model and boundary condition for heat discharge maximization problem.

Figure 8. Mesh and distribution of temperature and streamlines at time t=T= 600 for initial shape for heat discharge maximization problem.

Figure 8. Mesh and distribution of temperature and streamlines at time t=T= 600 for initial shape for heat discharge maximization problem.

Figure 9. Numerical results: Mesh and distributions of temperature and streamlines at time t=T= 600 for optimum shape for heat discharge maximization problem.

Figure 9. Numerical results: Mesh and distributions of temperature and streamlines at time t=T= 600 for optimum shape for heat discharge maximization problem.

Figure 10. Iterative histories for heat discharge maximization problem.

Figure 10. Iterative histories for heat discharge maximization problem.

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