Experimental verification of the role of Brinkman number in microchannels using local parameters

Tso, C.P.; Mahulikar, Shripad P.

doi:10.1016/s0017-9310(99)00241-0

Cited by 141 publications

(106 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the case of microscale devices, the impact of viscous dissipation is significant even for lowvelocity flows because of the small dimensions. Numerous researchers [6][7][8][9][10] reported the effect of viscous dissipation on heat transfer during the fluid flow in various channels both theoretically and experimentally. In addition, the heat transfer characteristics in microdevices with viscous dissipation was analyzed by employing asymmetric heat fluxes at the surface [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Effects of Viscous Dissipation and Rarefaction on Parallel Plates with Constant Heat Flux Boundary Conditions

Kushwaha

Sahu

2014

Chem Eng & Technol

View full text Add to dashboard Cite

The effect of viscous dissipation and rarefaction on heat transfer characteristics of hydrodynamically and thermally fully developed flow between parallel plates with constant heat flux conditions is analyzed. Three different types of heat flux boundary conditions, i.e., both plates kept at different constant heat fluxes, both plates kept at equal constant heat fluxes, and one plate insulated, are applied. In all cases, closed form expressions are obtained for the temperature distribution and Nusselt number. Viscous dissipation, rarefaction, and heat flux ratio are found to influence the heat transfer substantially. The present predictions are verified for the cases which neglect the microscale and viscous heating effect. The obtained results are in good agreement with other analytical results.

show abstract

Section: Introductionmentioning

confidence: 99%

Effects of Viscous Dissipation and Rarefaction on Parallel Plates with Constant Heat Flux Boundary Conditions

Kushwaha

Sahu

2014

Chem Eng & Technol

View full text Add to dashboard Cite

show abstract

“…While a value as large as unity is theoretically achievable in some simple flows, such a large value is seldom measured experimentally. Most commonly, Br is orders of magnitude smaller than unity [4,5]. The Brinkman number can also be expressed as the product Br = Pr Ec of two other dimensionless numbers: the Prandtl number [4] Pr and Eckert number [6] Ec, which are defined as…”

mentioning

confidence: 99%

Observation of Temperature Peaks due to Strong Viscous Heating in a Dusty Plasma Flow

2012

View full text Add to dashboard Cite

Profound temperature peaks are observed in regions of high velocity shear in a 2D dusty plasma experiment with laser-driven flow. These are attributed to viscous heating, which occurs due to collisional scattering in a shear flow. Using measurements of viscosity, thermal conductivity, and spatial profiles of flow velocity and temperature, we determine three dimensionless numbers: Brinkman Br = 0.5, Prandtl Pr = 0.09, and Eckert Ec = 5.7. The large value of Br indicates significant viscous heating that is consistent with the observed temperature peaks.

show abstract

“…Some of the early works on microchannel heat transfer (e.g., [9,61]) reported that at microscale, the results are deviating significantly from conventional theory of heat transfer and fluid flow; early studies proposed this deviation to be an effect of additional, unexplored flow physics. Herwig [15] and Herwig and Hausner [16] questioned the new results in microchannel heat transfer.…”

Section: Axial Back Conduction In Micro-sized Channelsmentioning

confidence: 99%

Axial Back Conduction through Channel Walls During Internal Convective Microchannel Flows

Khandekar

Moharana

2015

Springer Tracts in Mechanical Engineering

View full text Add to dashboard Cite

Recent developments during the last decade in the field of manufacturing and development of many high-power mini-/micro-devices led to increased interest in microfluidic devices involving heat transfer. Since the pioneering work by Tuckerman and Pease (IEEE Electron Device Lett 2:126-129, 1981) on the use of microchannels for high heat flux removal, certainly a lot of developments has been witnessed through ever-increasing analytical, experimental, and highly sophisticated numerical studies by many researchers across the globe. In spite of this progress, many fundamental understandings of flow and heat transfer phenomena in mini-/microchannel systems are still obscure. One such phenomenon is the flow of heat in the solid wall of microchannel systems by means of conduction normally in a direction opposite to that of internal convective mini-/microchannel flow of fluid, called "axial wall conduction" or "axial back conduction." Axial back conduction is not a new phenomenon, rather mostly neglected unintentionally because of its convincingly smaller influence on heat transfer in conventional-size channels. As the hydraulic diameter of a channel decreases, the coupling between the substrate and bulk fluid temperatures becomes significant because of the relative size of the fluid to the solid wall. Unlike in conventional-size channels, negligence of axial back conduction along the solid walls of micro heat exchangers frequently leads to erroneous conclusions and inconsistencies in the interpretation of transport data. Thus, it is important to explicitly identify the thermofluidic parameters of interest which lead to a distortion in the boundary conditions and thus the true estimation of species transfer coefficients. In this chapter, we focus our attention on the axial back conduction in the solid substrate/channel wall as against the axial back conduction in the liquid flow domain; thus, a detailed review of the state-of-the-art on axial back conduction in both conventional as well as mini-/microchannel systems is presented.

show abstract

Experimental verification of the role of Brinkman number in microchannels using local parameters

Cited by 141 publications

References 12 publications

Effects of Viscous Dissipation and Rarefaction on Parallel Plates with Constant Heat Flux Boundary Conditions

Effects of Viscous Dissipation and Rarefaction on Parallel Plates with Constant Heat Flux Boundary Conditions

Observation of Temperature Peaks due to Strong Viscous Heating in a Dusty Plasma Flow

Axial Back Conduction through Channel Walls During Internal Convective Microchannel Flows

Contact Info

Product

Resources

About