Technology Description
This thermal fan device operates, in principle, similarly to a heat pipe by utilizing the latent heats of vaporization and condensation with the corresponding phase changes to move a fluid like air. A phase change working fluid is contained within a confined volume that is exposed to the low-grade heat. The working fluid is selected with a vaporization temperature compatible with the high temperature of the low-grade heat source. A compliant or flexible bellow is contained within that otherwise rigid volume, and pressure change resulting from the phase change of the working fluid will cause the bellow to expand or contract. Repeated in a cyclic fashion and coordinated with additional units, this can create a continuous flow of air without any mechanical pumping.
Features & Benefits
- Efficient and inexpensive
- Mechanically simple
- Useful over a broad temperature range
Applications
- Anywhere low-grade heat is available near a need for process air flow
- Renewable energy generation
- Water treatment and purification
Background of Invention
A large portion of waste energy generated globally is in the form of low-grade heat. Because of the relatively low temperatures and low Carnot efficiency, very few technologies can recover this energy in an economical way. Numerous industrial applications require air flow and are near sources of low grade heat. Examples include power plants; chemical, pharmaceutical, and food processing; water treatment, purification, and desalination; and many others. In all instances, low-grade heat is readily available near process needs for condenser cooling, dehydrating, thermal regulation, etc. In most instances, the low-grade heat is wasted and the necessary process operations are powered separately, increasing costs and reducing overall efficiency. This technology can efficiently utilize low-grade heat to generate the air flow that is needed in many of these applications.
Status
Patent pending, seeking development partners
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)
The flowchart illustrates how the thermal fan operates through one cycle of moving air. Multiple fans can be operated in coordination to maintain continuous air flow.