Hasegawa Laboratory, Institute of Industrial Science, The University of Tokyo

Topology/shape optimization of heat transfer surfaces

Topology/shape optimization of heat transfer surfaces

There are many devices related to heat and fluids, and this is a field where there are high needs for design issues and improvements. For example, for components exposed to high-temperature fluid such as jet engines and turbine blades used for thermal power generation, the components themselves will melt or break when the heat-resistant temperature is exceeded, so a structure that allows cooling air to flow while releasing heat is required.

With the rapid spread of information terminals and electric vehicles, cooling of electronic devices has become an important issue. Since electronic components may malfunction or fail due to heat, various air-cooling and water-cooling mechanisms have been devised. Modern society is established on the basis of energy conversion, and control of heat transport, which is one of the most commonly used energy forms, is extremely important from the viewpoint of effective energy use. Equipment that exchanges heat between different fluids is generally called a heat exchanger, but if a more efficient heat exchanger can be designed, it can greatly contribute to energy saving. 
The "deterministic optimization tool for complex three-dimensional shapes" developed by our laboratory is effective in optimizing the parts and structures related to such thermal fluids.

Example: Design of hot spring water flow paths in a power generation system that uses the heat of hot spring water.

A flow path with wavy unevenness has been proposed as a flow path for efficiently extracting heat. The adjoint analysis program of our laboratory was applied to this shape, and the optimum heat transfer surface shape was calculated.
The movie shows the sensitivity distribution of the heat transfer surface obtained by the adjoint analysis. The optimum shape is sought by changing the shape according to the obtained sensitivity.

 

         
(left) Shape optimization and (right) topology optimazation of oblique wavy wall for enhancing heat transfer and mitigating pressure loss
The color on the wall shows the local sensitivity to a cost functional.


Shape optimization of pin-fin array for enhancing heat transfer and mitigating pressure loss
The color on the pin fin shows the local sensitivity to a cost functional.
The figure on the right shows the changes of pressure loss and heat transfer rate with increasing the iteration for updating the pin-fin shape.
It can be seen that the ratio of heat transfer and pressure loss is improved with increasing the number of update.
Reference: Kametani et al., J. Thermal Science and Technology (2020)

It is extremely important to experimentally verify the calculated optimal shape.
In our laboratory, the shape obtained by the optimization calculation is created with a 3D printer, and the fluid is actually flowed and measured. We also verify the performance by comparing the calculated results with the experimental results.
It is rare for one laboratory to carry out everything from optimization to its demonstration, and this is another feature of this laboratory. Regarding shape optimization, we are actively conducting joint research with companies such as the automobile industry and heavy industry, and the results are reflected in many patents.

 

                                                          

 


Topology Optimization of Electrolyte-Anode Interface in solid oxide fuel cell
Left) Problem setting, Middle) Optimization from different initial conditions (color: iso-surface of potential),
Right) Interfacial structures and potential distributions at the bottom
Reference: Onishi et al. J. Electrochem. Soc (2019)


Poster