메뉴 건너뛰기




Volumn 48, Issue 9, 2009, Pages 1673-1678

Slip-flow heat transfer in microtubes with axial conduction and viscous dissipation - An extended Graetz problem

Author keywords

Graetz problem; Heat transfer; Microtube; Slip flow

Indexed keywords

AXIAL CONDUCTION; BRINKMAN NUMBER; CONFLUENT HYPERGEOMETRIC FUNCTIONS; DIMENSIONLESS PARAMETERS; EIGENFUNCTION EXPANSIONS; ENERGY EQUATION; GRAETZ PROBLEM; KNUDSEN NUMBERS; LOCAL NUSSELT NUMBER; MICRO-TUBES; MICROTUBE; SLIP-FLOW; THERMAL BOUNDARY CONDITIONS; VISCOUS DISSIPATION;

EID: 67650073377     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2009.02.002     Document Type: Article
Times cited : (57)

References (35)
  • 1
    • 0002640843 scopus 로고
    • Uben die wärmeleitungsfähigkeit von flüssigkeiten
    • Graetz L. Uben die wärmeleitungsfähigkeit von flüssigkeiten (On the thermal conductivity of liquids, part 1). Ann. Phys. Chem. 18 (1883) 79-94
    • (1883) Ann. Phys. Chem. , vol.18 , pp. 79-94
    • Graetz, L.1
  • 2
    • 84977603667 scopus 로고
    • Uben die wärmeleitungsfähigkeit von flüssigkeiten
    • Graetz L. Uben die wärmeleitungsfähigkeit von flüssigkeiten (On the thermal conductivity of liquids, part 2). Ann. Phys. Chem. 25 (1885) 337-357
    • (1885) Ann. Phys. Chem. , vol.25 , pp. 337-357
    • Graetz, L.1
  • 3
    • 0000435808 scopus 로고
    • Die abhängigkeit der wärmeübergangszahl von der rohrlänge
    • Nusselt W. Die abhängigkeit der wärmeübergangszahl von der rohrlänge (The dependence of the heat transfer coefficient on the tube length). VDI Z 54 (1910) 1154-1158
    • (1910) VDI Z , vol.54 , pp. 1154-1158
    • Nusselt, W.1
  • 7
    • 78249288474 scopus 로고    scopus 로고
    • G. Tunc, Y. Bayazitoglu, Convection at the entrance of micropipes with sudden wall temperature change, in: ASME IMECE 2002, November 17-22, 2002, New Orleans, Louisiana.
    • G. Tunc, Y. Bayazitoglu, Convection at the entrance of micropipes with sudden wall temperature change, in: ASME IMECE 2002, November 17-22, 2002, New Orleans, Louisiana.
  • 11
    • 0041171275 scopus 로고    scopus 로고
    • Laminar forced convection in a circular tube with constant heat flux and slip flow
    • Ameel T.A., Barron R.F., Wang X.M., and Warrington R.O. Laminar forced convection in a circular tube with constant heat flux and slip flow. Microscale Therm. Eng. 1 (1997) 303-320
    • (1997) Microscale Therm. Eng. , vol.1 , pp. 303-320
    • Ameel, T.A.1    Barron, R.F.2    Wang, X.M.3    Warrington, R.O.4
  • 12
    • 0026402932 scopus 로고
    • Fluid flow and heat transfer in microtubes, micromechanical sensors, actuators, and systems
    • Choi S.B., Barron R.F., and Warrington R.O. Fluid flow and heat transfer in microtubes, micromechanical sensors, actuators, and systems. ASME DSC 32 (1991) 123-134
    • (1991) ASME DSC , vol.32 , pp. 123-134
    • Choi, S.B.1    Barron, R.F.2    Warrington, R.O.3
  • 13
    • 40949111275 scopus 로고    scopus 로고
    • Gaseous flow in microchannels with viscous dissipation
    • Çetin B., Yuncu H., and Kakac S. Gaseous flow in microchannels with viscous dissipation. Int. J. Transport Phenom. 8 (2006) 297-315
    • (2006) Int. J. Transport Phenom. , vol.8 , pp. 297-315
    • Çetin, B.1    Yuncu, H.2    Kakac, S.3
  • 14
    • 0031271990 scopus 로고    scopus 로고
    • Effects of compressibility and rarefaction in gaseous flows in microchannels
    • Kavehpour H.P., Faghri M., and Asako Y. Effects of compressibility and rarefaction in gaseous flows in microchannels. Numer. Heat Tran. 32 (1997) 677-696
    • (1997) Numer. Heat Tran. , vol.32 , pp. 677-696
    • Kavehpour, H.P.1    Faghri, M.2    Asako, Y.3
  • 15
  • 17
    • 0043008632 scopus 로고
    • Note on heat transfer in laminar fully developed pipe flow with axial conduction
    • Ash R.L., and Heinbockel J.H. Note on heat transfer in laminar fully developed pipe flow with axial conduction. Math. Phys. 21 (1970) 266-269
    • (1970) Math. Phys. , vol.21 , pp. 266-269
    • Ash, R.L.1    Heinbockel, J.H.2
  • 18
    • 0015068305 scopus 로고
    • An exact analysis of low Peclet number thermal entry region heat transfer in transversely non-uniform velocity field
    • Hsu C.J. An exact analysis of low Peclet number thermal entry region heat transfer in transversely non-uniform velocity field. AIChE J. 17 (1971) 732-740
    • (1971) AIChE J. , vol.17 , pp. 732-740
    • Hsu, C.J.1
  • 19
    • 0001421335 scopus 로고
    • Application of the integral method to flows with axial conduction
    • Taitel V., and Tamir A. Application of the integral method to flows with axial conduction. Int. J. Heat Mass Transfer 15 (1972) 733-740
    • (1972) Int. J. Heat Mass Transfer , vol.15 , pp. 733-740
    • Taitel, V.1    Tamir, A.2
  • 20
    • 34248228014 scopus 로고
    • Effects of upstream and downstream boundary conditions on heat (mass) transfer with axial diffussion
    • Taitel V., Bentwich M., and Tamir A. Effects of upstream and downstream boundary conditions on heat (mass) transfer with axial diffussion. Int. J. Heat Mass Transfer 16 (1973) 359-369
    • (1973) Int. J. Heat Mass Transfer , vol.16 , pp. 359-369
    • Taitel, V.1    Bentwich, M.2    Tamir, A.3
  • 21
    • 51249180600 scopus 로고
    • The extended Graetz problem with Dirichlet wall boundary condition
    • Papoutsakis E., Ramkrishna D., and Lim H.C. The extended Graetz problem with Dirichlet wall boundary condition. Appl. Sci. Res. 36 (1980) 13-34
    • (1980) Appl. Sci. Res. , vol.36 , pp. 13-34
    • Papoutsakis, E.1    Ramkrishna, D.2    Lim, H.C.3
  • 22
    • 0019055472 scopus 로고
    • The extended Graetz problem with prescribed wall flux
    • Papoutsakis E., Ramkrishna D., and Lim H.C. The extended Graetz problem with prescribed wall flux. AIChE J. 26 (1980) 779-787
    • (1980) AIChE J. , vol.26 , pp. 779-787
    • Papoutsakis, E.1    Ramkrishna, D.2    Lim, H.C.3
  • 23
    • 51249185961 scopus 로고
    • The extended Graetz problem at low Peclet numbers
    • Acrivos A. The extended Graetz problem at low Peclet numbers. Appl. Sci. Res. 36 (1980) 35-40
    • (1980) Appl. Sci. Res. , vol.36 , pp. 35-40
    • Acrivos, A.1
  • 24
    • 0019393093 scopus 로고
    • An exact analysis of low Peclet number heat transfer in laminar flow with axial conduction
    • Vick B., and Ozisik M.N. An exact analysis of low Peclet number heat transfer in laminar flow with axial conduction. Lett. in Heat Mass Transfer 8 (1981) 1-10
    • (1981) Lett. in Heat Mass Transfer , vol.8 , pp. 1-10
    • Vick, B.1    Ozisik, M.N.2
  • 25
    • 0033393948 scopus 로고    scopus 로고
    • Analytical solution of the Graetz problem with axial conduction
    • Lahjomri J., and Qubarra A. Analytical solution of the Graetz problem with axial conduction. J. Heat Transfer 121 (1999) 1078-1083
    • (1999) J. Heat Transfer , vol.121 , pp. 1078-1083
    • Lahjomri, J.1    Qubarra, A.2
  • 26
    • 0001697904 scopus 로고
    • Exact solutions for a class of heat and mass transfer problems
    • Davis E. Exact solutions for a class of heat and mass transfer problems. Can. J. Chem. Eng. 51 (1971) 562-572
    • (1971) Can. J. Chem. Eng. , vol.51 , pp. 562-572
    • Davis, E.1
  • 27
    • 0015585549 scopus 로고
    • A numerical solution of the Graetz problem with axial conduction
    • Verhoff F.H., and Fisher D.P. A numerical solution of the Graetz problem with axial conduction. J. Heat Transfer 95 (1973) 124-132
    • (1973) J. Heat Transfer , vol.95 , pp. 124-132
    • Verhoff, F.H.1    Fisher, D.P.2
  • 29
    • 0036537264 scopus 로고    scopus 로고
    • Constant-wall-temperature Nusselt number in micro and nano-channels
    • Hadjiconstantinou N.G., and Simek O. Constant-wall-temperature Nusselt number in micro and nano-channels. J. Heat Transfer 124 (2002) 356-364
    • (2002) J. Heat Transfer , vol.124 , pp. 356-364
    • Hadjiconstantinou, N.G.1    Simek, O.2
  • 30
    • 33646516222 scopus 로고    scopus 로고
    • Extended Graetz problem including streamwise conduction and viscous dissipation in microchannels
    • Jeong H.E., and Jeong J.T. Extended Graetz problem including streamwise conduction and viscous dissipation in microchannels. Int. J. Heat Mass Transfer 49 (2006) 2151-2157
    • (2006) Int. J. Heat Mass Transfer , vol.49 , pp. 2151-2157
    • Jeong, H.E.1    Jeong, J.T.2
  • 31
    • 41649106416 scopus 로고    scopus 로고
    • Fluid flow in microtubes with axial conduction including rarefaction and viscous dissipation
    • Çetin B., Yazicioglu A., and Kakac S. Fluid flow in microtubes with axial conduction including rarefaction and viscous dissipation. Int. Comm. Heat Mass Transfer 35 (2008) 535-544
    • (2008) Int. Comm. Heat Mass Transfer , vol.35 , pp. 535-544
    • Çetin, B.1    Yazicioglu, A.2    Kakac, S.3
  • 32
    • 33846874346 scopus 로고    scopus 로고
    • Thermal characteristics of mixed electroosmotic and pressure-driven microflows
    • Dutta P., Horiuchi K., and Yin H.M. Thermal characteristics of mixed electroosmotic and pressure-driven microflows. Comput. Math. Appl. 52 (2006) 651-670
    • (2006) Comput. Math. Appl. , vol.52 , pp. 651-670
    • Dutta, P.1    Horiuchi, K.2    Yin, H.M.3
  • 33
    • 33745478728 scopus 로고    scopus 로고
    • Joule-heating effects in mixed electroosmotic and pressure-driven microflows under constant wall heat flux
    • Horiuchi K., Dutta P., and Hossain A. Joule-heating effects in mixed electroosmotic and pressure-driven microflows under constant wall heat flux. J. Eng. Math. 54 (2006) 159-180
    • (2006) J. Eng. Math. , vol.54 , pp. 159-180
    • Horiuchi, K.1    Dutta, P.2    Hossain, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.