Gaseous slip flow affected by inclined low magnetic field using second‐order boundary conditions

Heat Transfer ◽  
2019 ◽  
Vol 49 (2) ◽  
pp. 909-931 ◽  
Author(s):  
Khaleel Al Khasawneh ◽  
Amani A. AlWardat ◽  
Saud A. Khashan
Keyword(s):  
Magnetic Field ◽  
Boundary Conditions ◽  
Slip Flow ◽  
Second Order ◽  
Gaseous Slip Flow ◽  
Low Magnetic Field

Effect of inclined and low magnetic field in gaseous slip flow in two‐dimensional rectangular microchannel using first‐order boundary conditions

Heat Transfer ◽  
2020 ◽  
Vol 49 (5) ◽  
pp. 2887-2905
Author(s):  
Duaa M. Kharouf ◽  
Khaleel Al‐Khasawneh ◽  
Mohammad Tarawneh
Keyword(s):  
Magnetic Field ◽  
Boundary Conditions ◽  
Slip Flow ◽  
Two Dimensional ◽  
Rectangular Microchannel ◽  
First Order ◽  
Gaseous Slip Flow ◽  
Low Magnetic Field

Charged Particle in a Low Magnetic Field with Finite Boundary Conditions

1973 ◽  
Vol 41 (9) ◽  
pp. 1093-1099
Author(s):  
R. D. Zwicker ◽  
Frank A. Butler
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Boundary Conditions ◽  
Finite Boundary ◽  
Low Magnetic Field

Experimental uncertainties analysis as a tool for friction factor determination in microchannels

2008 ◽  
Vol 222 (5) ◽  
pp. 817-827 ◽  
Author(s):  
M Lorenzini ◽  
G L Morini ◽  
T Henning ◽  
J Brandner
Keyword(s):  
Boundary Conditions ◽  
Slip Flow ◽  
Flow Region ◽  
Reynolds Numbers ◽  
Second Order ◽  
Limiting Factor ◽  
Total Uncertainty ◽  
Rarefied Flows ◽  
Error Propagation Analysis ◽  
Poiseuille Number

The constant growth of the studies on microchannel flows has brought under question the validity of the relations for heat transfer and fluid flow, which are usually employed at the macroscales. Rarefied flows in the slip-flow region have attracted much attention and solutions have been developed using first- and second-order boundary conditions. These models need to be experimentally validated through careful test in order to be able to use them for more complex problems and engineering applications. In the current work the error propagation analysis is applied to a set of error-free measurements artificially generated in order to assess the influence of the uncertainty on each of the measured quantities on the determination of the Poiseuille number for rarefied flows: it is shown that the most limiting factor is the accuracy on the tube diameter, while flowrate and pressure drop errors can be kept contained provided the measurement ranges for the transducers are suitably chosen. The total uncertainty is also calculated and the limit of the investigable Reynolds numbers defined. The possibility of experimentally evidencing the differences between first- and second-order boundary conditions is investigated and it is concluded that this is the case only for highly rarefied flows ( Kn > 0.5).

Constant Wall Temperature Nusselt and Poiseuille Numbers in Rectangular Microchannels

2007 ◽  
Author(s):  
Jennifer van Rij ◽  
Tim Ameel ◽  
Todd Harman
Keyword(s):  
Aspect Ratio ◽  
Boundary Conditions ◽  
Viscous Dissipation ◽  
Wall Temperature ◽  
Rectangular Channel ◽  
Slip Flow ◽  
Second Order ◽  
Constant Wall Temperature ◽  
Axial Conduction ◽  
Accommodation Coefficients

Slip flow convective heat transfer and friction loss characteristics are numerically evaluated for constant wall temperature rectangular microchannels. The effects of rarefaction, accommodation coefficients, aspect ratio, second-order slip boundary conditions, axial conduction, and viscous dissipation with flow work are each considered. Second-order slip boundary conditions, axial conduction, and viscous dissipation with flow work effects have not been studied previously for rectangular channel slip flows. The effects of each of these parameters on the numerically computed convective heat transfer rate and friction loss are evaluated through the Nusselt number and Poiseuille number respectively. The numerical results are obtained using a continuum-based computational fluid dynamics algorithm that includes second-order slip flow and temperature jump boundary conditions. Numerical results for the three-dimensional, fully developed Nusselt and Poiseuille numbers are presented as functions of Knudsen number, first- and second-order velocity slip and temperature jump coefficients, aspect ratio, Brinkman number, and Peclet number. Effects of rarefaction, accommodation coefficients, and aspect ratio are consistent with previously reported analytical results for rectangular channel constant wall temperature flows. The effects of second-order slip terms, axial conduction and viscous dissipation are also shown to significantly affect the Nusselt and Poiseuille numbers.

Microtube gas flows with second-order slip flow and temperature jump boundary conditions

2009 ◽  
Vol 48 (2) ◽  
pp. 243-251 ◽  
Author(s):  
Nian Xiao ◽  
John Elsnab ◽  
Tim Ameel
Keyword(s):  
Boundary Conditions ◽  
Temperature Jump ◽  
Slip Flow ◽  
Second Order ◽  
Gas Flows

Impact of Magnetic Field and Second-Order Slip Flow of Casson Liquid with Heat Transfer Subject to Suction/Injection and Convective Boundary Condition

2019 ◽  
Vol 24 (1) ◽  
pp. 81-89 ◽  
Author(s):  
Aaqib Majeed ◽  
Ahmad Zeeshan ◽  
Tariq Mahmood ◽  
Shafiq Ur Rahman ◽  
Imran Khan
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Boundary Condition ◽  
Slip Flow ◽  
Convective Boundary Condition ◽  
Second Order ◽  
Convective Boundary
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