The simplicity of fractal-like flow networks for effective heat and mass transport

Pence, Deborah V.

doi:10.1016/j.expthermflusci.2009.02.004

Cited by 52 publications

(16 citation statements)

References 37 publications

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“…On the other hand, results from the geometrically based flow network design procedure outlined in Pence [17] suggest that good designs exist without a need for optimization. This is the case because the average gamma and beta ratios used by Pence [17] were significantly influenced by the geometric constraints.…”

Section: Discussionmentioning

confidence: 97%

“…This limited variation in b, g, and w m over a wide range of heat fluxes is due to the considerable influence of the fabrication constraints on the optimal flow network parameters. Recognizing the influence of fabrication constraints on network design, coupled with a recognition of the time necessary to program and implementation optimization codes, Pence [17] proposed a simple and purely geometric fractal-like flow network design approach for single-phase flows in disk-shaped heat sinks.…”

Section: Discussionmentioning

confidence: 99%

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Optimization of fractal-like branching microchannel heat sinks for single-phase flows

Heymann

Pence

Narayanan

2010

International Journal of Thermal Sciences

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Section: Discussionmentioning

confidence: 97%

Section: Discussionmentioning

confidence: 99%

Optimization of fractal-like branching microchannel heat sinks for single-phase flows

Heymann

Pence

Narayanan

2010

International Journal of Thermal Sciences

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“…It was found that the branching microchannel heat sink had a favorable cooling performance with low unit thermal resistance and pressure drop for high‐power‐density electronics applications. The fractal microchannel was shown to produce more uniform temperatures and significantly lower pressure drops compared to parallel channels . Senn and Poulikakos compared the hydraulic and thermal characteristics of the fractal microchannel and the serpentine microchannel with the same surface area.…”

Section: Introductionmentioning

confidence: 99%

“…The fractal microchannel was shown to produce more uniform temperatures and significantly lower pressure drops compared to parallel channels. [15][16][17][18] Senn and Poulikakos 19 compared the hydraulic and thermal characteristics of the fractal microchannel and the serpentine microchannel with the same surface area. They concluded that fractal microchannel provides a larger heat transfer capability than the serpentine microchannel due to the influence of secondary flow at bifurcations, and the fractal microchannel also has an advantage in hydrodynamics.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of hydrodynamic and heat transfer performances of nanofluids in a fractal microchannel heat sink

Yan

2019

Heat Trans. Asian Res.

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Heat transfer and hydrodynamic performances for nanofluids, Al2O3‐water and SiO2‐water, are numerically investigated with different nanoparticles’ volume fractions and the initial velocities in a fractal microchannel heat sink. The fractal microchannel is 100 μm × 100 μm in the inlet cross‐section, and the length at the 0th level is 2000 μm. A constant heat flux of 500 kW/m2 was applied to the bottom wall of the fractal microchannel heat sink. The heat transfer and hydrodynamic performances of different cases are discussed in terms of the mean heat transfer coefficient, mean base temperature, pressure loss, thermal resistance, friction factor f/f0, and COP/COP0. Results indicate that increasing the initial velocity and nanoparticles’ volume fraction lead to an enhanced heat transfer at the expense of pressure loss. Al2O3‐water has a higher mean heat transfer coefficient and pressure drop than that of SiO2‐water, a lower f/f0, mean base temperature, thermal resistance, and COP/COP0. Ultimately, as compared to pure water, the heat transfer coefficients of 4% Al2O3‐water increased by 7.53%, 7.80%, 8.00%, 8.14%, 8.16%, and 8.30%, and the pressure drops increased by 32.09%, 31.41%, 30.81%, 30.05%, 29.21%, and 28.58%, respectively, corresponding to the initial velocities by 4, 5, 6, 7, 8 and 9 m/s.

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“…Several attempts of bio mimicking these structures confirm their effectiveness in enhancing the performance of the application. For example, heat and mass transfer123, capillary pump4, synthetic leaf5, passive micromixers6, non-transparent solar electrodes7, and so on. Effective, scalable method of lithography-less fabrication of such multi-scale, ordered fractal-like structures by controlling fluid interface instability in a Hele-Shaw cell is presented here.…”

mentioning

confidence: 99%

Fabrication of Multscale Fractal-Like Structures by Controlling Fluid Interface Instability

Islam

Gandhi

2016

Sci Rep

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Nature, in quest for the best designs has shaped its vital systems into fractal geometries. Effectual way of spontaneous fabrication of scalable, ordered fractal-like structures by controlling Saffman-Taylor instability in a lifted Hele-Shaw cell is deployed here. In lifted Hele-Shaw cell uncontrolled penetration of low-viscosity fluid into its high-viscosity counterpart is known to develop irregular, non-repeatable, normally short-lived, branched patterns. We propose and characterize experimentally anisotropies in a form of spatially distributed pits on the cell plates to control initiation and further penetration of non-splitting fingers. The proposed control over shielding mechanism yields recipes for fabrication of families of ordered fractal-like patterns of multiple generations. As an example, we demonstrate and characterize fabrication of a Cayley tree fractal-like pattern. The patterns, in addition, are retained permanently by employing UV/thermally curable fluids. The proposed technique thus establishes solid foundation for bio-mimicking natural structures spanning multiple-scales for scientific and engineering use.

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The simplicity of fractal-like flow networks for effective heat and mass transport

Cited by 52 publications

References 37 publications

Optimization of fractal-like branching microchannel heat sinks for single-phase flows

Optimization of fractal-like branching microchannel heat sinks for single-phase flows

Numerical investigation of hydrodynamic and heat transfer performances of nanofluids in a fractal microchannel heat sink

Fabrication of Multscale Fractal-Like Structures by Controlling Fluid Interface Instability

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