Mixed symbolic–numerical computation of convective heat transfer with slip flow in microchannels

Steady-state convection heat transfer is analytically solved for laminar flow inside microchannels formed by parallel-plates, making use of the integral transform method and the exact analytical solution of the corresponding eigenvalue problem in terms of confluent hypergeometric functions. A mixed...

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Bibliographic Details
Published in:International communications in heat and mass transfer Vol. 32; no. 3; pp. 341 - 348
Main Authors: Mikhailov, M.D., Cotta, R.M.
Format: Journal Article
Language:English
Published: New York, NY Elsevier Ltd 01.02.2005
Elsevier
Subjects:
Applied sciences
Convection
Design. Technologies. Operation analysis. Testing
Electronics
Exact sciences and technology
Integral transforms
Integrated circuits
Microchannels
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Slipflow
Symbolic computation
Integral transforms
Symbolic computation
Convection
Slipflow
Microchannels
Slip flow
Laminar flow
Electronic component
Numerical simulation
Convection cooling
Microchannel plates
Integral transformation
Heat transfer
ISSN:0735-1933, 1879-0178
Online Access:Get full text
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Summary:Steady-state convection heat transfer is analytically solved for laminar flow inside microchannels formed by parallel-plates, making use of the integral transform method and the exact analytical solution of the corresponding eigenvalue problem in terms of confluent hypergeometric functions. A mixed symbolic–numerical algorithm is developed under the Mathematica platform. The paper was also prepared in the Mathematica notebook format, available upon request, allowing for the immediate reproduction of the results and comprehension of the symbolic and computational rules developed.
ISSN:0735-1933
1879-0178
DOI:10.1016/j.icheatmasstransfer.2004.04.030