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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Vydáno v:	International communications in heat and mass transfer Ročník 32; číslo 3; s. 341 - 348
Hlavní autoři:	Mikhailov, M.D., Cotta, R.M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York, NY Elsevier Ltd 01.02.2005 Elsevier
Témata:	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
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Abstract	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.
AbstractList	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.
Author	Mikhailov, M.D. Cotta, R.M.
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Cites_doi	10.1016/S0017-9310(00)00298-2 10.1016/S0017-9310(01)00075-8 10.1016/S0017-9310(01)00201-0 10.1002/andp.18852610702 10.1115/1.1447932 10.1115/1.2822013 10.1016/S0017-9310(96)00256-6 10.1007/s002310100247 10.1016/0735-1933(96)00040-1 10.1016/S0017-9310(99)00324-5 10.1016/S0735-1933(97)00030-4
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Keywords	Integral transforms Symbolic computation Convection Slipflow Microchannels Slip flow Laminar flow Electronic component Numerical simulation Convection cooling Microchannel plates Integral transformation Heat transfer
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SubjectTerms	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
Title	Mixed symbolic–numerical computation of convective heat transfer with slip flow in microchannels
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