The extended Graetz problem for a gaseous slip flow in micropipe and parallel-plate microchannel with heating section of finite length: Effects of axial conduction, viscous dissipation and pressure work

作者： | Youssef Haddout, Jawad Lahjomri |

作者单位： |
^{1}Laboratory of Mechanics, Faculty of Science Ain Chock, Hassan II University, B.P. 5366, Maarif, Casablanca 20100, Morocco |

刊名： | International Journal of Heat and Mass Transfer, 2015, Vol.80 , pp.673-687 |

来源数据库： | Elsevier Journal |

DOI： | 10.1016/j.ijheatmasstransfer.2014.09.064 |

关键词： | Extended Graetz problem; Slip flow; Finite heating section; Pressure work; Viscous dissipation; Shear work; |

英文摘要： | Abstract(#br)The extended Graetz problem for a gaseous slip flow through a micropipe and a parallel-plate microchannel, with an isothermal heating section of finite length, is analytically investigated. The simultaneous effects of the axial heat conduction, viscous dissipation and pressure work are all taken into account and discussed. The solution obtained is based on a powerful method using self-adjoint formalism, resulting from a decomposition of energy equation into a system of the first-order partial differential equations. This solution, which is applicable for finite and semi-infinite heating section, represents an improvement and extension of those obtained in the earlier works, by considering the slip boundary conditions at the fluid–wall interface for the velocity and... |