Heat exchange at laminar flow in rectangular channels

Valueva, E. P.; Purdin, M. S.

doi:10.1134/s0869864316060081

Cited by 12 publications

(3 citation statements)

References 16 publications

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“…Since the Nusselt number of heat transfer is analogous to the Sherwood number of mass transfer, it can be used to analyze the dissolution near the sidewalls of the fracture. According to Valueva and Purdin (2016), the Sherwood number on the fracture surfaces away from the sidewalls approaches the value provided by the Purday solution, while the Sherwood number on sidewalls and the fracture surfaces near the sidewalls approaches zero. This indicates that little dissolution occurs on the sidewalls and fracture surfaces near the sidewalls.…”

Section: Discussionmentioning

confidence: 96%

“…However, the error increases as the fracture geometry evolves due to dissolution. Valueva and Purdin (2016) simulated the laminar flow induced heat convection in rectangular ducts and calculated the local Nusselt number on the duct surfaces. Since the Nusselt number of heat transfer is analogous to the Sherwood number of mass transfer, it can be used to analyze the dissolution near the sidewalls of the fracture.…”

Section: Sidewallsmentioning

confidence: 99%

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Transport‐Controlled Dissolution in an Evolving Fracture: The Extended Purday Solution and Fracture Flow Tests

Germaine

Einstein

2021

Water Resources Research

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Understanding the controlling mechanism and the resulting rate of reactive transport processes is crucial for an accurate prediction of the evolution of the rock‐fluid system in many geological processes and engineering applications. In this study, transport‐controlled dissolution in a single fracture was investigated analytically with the development of the extended Purday solution and experimentally with fracture flow tests. The extended Purday solution simulates dissolution in an evolving fracture and extends the validity domain of the Purday solution from a fracture with a uniform aperture to a fracture with aperture heterogeneity in the flow direction. The fracture flow tests include continuous effluent concentration measurements with a novel experimental setup and three‐dimensional fracture geometry analysis. The modeling and experimental results agree well and show that the high dissolution rate in the entrance region results in a converging fracture geometry (decreasing aperture in the flow direction). This converging geometry, in turn, reduces the overall dissolution rate in the fracture. The comparison between the modeling and experimental results shows that channel formation and sidewalls affect the morphology of the fracture. The resulting cross‐section geometry of the fracture also tends to reduce the overall dissolution rate. This study shows that the extended Purday solution accurately predicts the dissolution rate in an evolving fracture, and that factors, such as channel formation and sidewalls, affect fracture morphology and reduce the overall dissolution rate.

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Section: Discussionmentioning

confidence: 96%

Section: Sidewallsmentioning

confidence: 99%

Transport‐Controlled Dissolution in an Evolving Fracture: The Extended Purday Solution and Fracture Flow Tests

Germaine

Einstein

2021

Water Resources Research

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“…Valueva and Purdin [21] numerically investigated the effect of aspect ratio of a rectangular channel on pulsating flow dynamics. Valueva and Purdin [22] developed a numerical model for the heat exchange between stationary and pulsating laminar flow inside a rectangular channel.…”

Section: Introductionmentioning

confidence: 99%

Thermal Performance Investigation of Slotted Fin Minichannel Heat Sink for Microprocessor Cooling

et al. 2021

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Due to high heat flux generation inside microprocessors, water-cooled heat sinks have gained special attention. For the durability of the microprocessor, this generated flux should be effectively removed. The effective thermal management of high-processing devices is now becoming popular due to high heat flux generation. Heat removal plays a significant role in the longer operation and better performance of heat sinks. In this work, to tackle the heat generation issues, a slotted fin minichannel heat sink (SFMCHS) was investigated by modifying a conventional straight integral fin minichannel heat sink (SIFMCHS). SFMCHSs with fin spacings of 0.5 mm, 1 mm, and 1.5 mm were numerically studied. The numerical results were then compared with SIFMCHSs present in the literature. The base temperatures recorded for two slots per fin minichannel heat sink (SPFMCHS), with 0.5 mm, 1 mm, and 1.5 mm fin spacings, were 42.81 °C, 46.36 °C, and 48.86 °C, respectively, at 1 LPM. The reductions in base temperature achieved with two SPFMCHSs were 9.20 %, 8.74 %, and 7.39% for 0.5 mm, 1 mm, and 1.5 mm fin spacings, respectively, as compared to SIFMCHSs reported in the literature. The reductions in base temperature noted for three SPFMCHSs were 8.53%, 9.05%, and 5.95% for 0.5 mm, 1 mm, and 1.5 mm fin spacings, respectively, at 1 LPM, as compared to SIFMCHSs reported in the literature. In terms of heat transfer performance, the base temperature and thermal resistance of the 0.5 mm-spaced SPFMCHS is better compared to 1 mm and 1.5 mm fin spacings. The uniform temperature distribution at the base of the heat sink was observed in all cases solved in current work.

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Steady and Transient State Analyses on Conjugate Laminar Forced Convection Heat Transfer

Afzal

Samee

Razak

et al. 2019

Arch Computat Methods Eng

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Heat exchange at laminar flow in rectangular channels

Cited by 12 publications

References 16 publications

Transport‐Controlled Dissolution in an Evolving Fracture: The Extended Purday Solution and Fracture Flow Tests

Transport‐Controlled Dissolution in an Evolving Fracture: The Extended Purday Solution and Fracture Flow Tests

Thermal Performance Investigation of Slotted Fin Minichannel Heat Sink for Microprocessor Cooling

Steady and Transient State Analyses on Conjugate Laminar Forced Convection Heat Transfer

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