To achieve reliable solutions, today-s numerical and experimental activities need developing more accurate methods and utilizing expensive facilities, respectfully in microchannels. The analytical study can be considered as an alternative approach to alleviate the preceding difficulties. Among the analytical solutions, those with high robustness and low complexities are certainly more attractive. The perturbation theory has been used by many researchers to analyze microflows. In present work, a compressible microflow with constant heat flux boundary condition is analyzed. The flow is assumed to be fully developed and steady. The Mach and Reynolds numbers are also assumed to be very small. For this case, the creeping phenomenon may have some effect on the velocity profile. To achieve robustness solution it is assumed that the flow is quasi-isothermal. In this study, the creeping term which appears in the slip boundary condition is formulated by different mathematical formulas. The difference between this work and the previous ones is that the creeping term is taken into account and presented in non-dimensionalized form. The results obtained from perturbation theory are presented based on four non-dimensionalized parameters including the Reynolds, Mach, Prandtl and Brinkman numbers. The axial velocity, normal velocity and pressure profiles are obtained. Solutions for velocities and pressure for two cases with different Br numbers are compared with each other and the results show that the effect of creeping phenomenon on the velocity profile becomes more important when Br number is less than O(ε)., {"references":["Karniadakis, G. E. Beskok, A., and Aluru, N., \"Microflows and\nNanoflows: Fundamentals and Simulation\", Springer-Verlag, NewYork,\n2005","Ho, C. M., and Tai, Y. C., \"Micro-Electro-Mechanical-Systems (MEMS)\nand Fluid Flows,\" Annual Review of Fluid Mechanics, Vol. 30, Dec.\n1998, pp. 579-612.","Oran, E. S., Oh, C. K., and Cybyk, B. Z., \"Direct Simulation Monte\nCarlo: Recent Advances and Applications,\" Annual Review of Fluid\nMechanics, Vol. 30, Dec. 1998, pp. 403-441.","Zheng, Y., Garcia, A. L., and Alder, B. J., \"Comparison of Kinetic Theory\nand Hydrodynamics for Poiseuille Flow,\" Rarefied Gas Dynamics,\nVol. 23, Whislter, Canada, 2002.","Cai, C., Boyd, I., Fan, J., and Candler, G. V., \"Direct Simulation Methods\nfor Low-Speed Microchannel Flows,\" Journal of Thermophysics and\nHeat Transfer, Vol. 14, July-Sept. 2000, pp. 368-378.","Aristov, V. V., \"Direct Methods for Solving the Boltzmann Equations and\nStudy of Nonequilibrium Flows\", Kluwer, Dordrecht, The Netherlands,\n2001.","Ohwada, T., Sone, Y., and Aoki, K., \"Numerical Analysis of the\nPoiseuille Flow and Thermal Transpiration Flows Between Two Parallel\nPlates on the Basis of the Linearized Boltzmann Equation for Hard-\nSphere Molecules,\" Physics of Fluids A, Vol. 1, No. 12, 1989, p. 2042.","Xu, K., and Li, Z., \"Microchannel Flow in the Slip Regime: Gas-Kinetic\nBGK-Burnett Solutions,\" Journal of Fluid Mechanics, Vol. 513, Aug.\n2004, pp. 87-110.","Chen, C. K., and Weng, H. C., \"Developing Natural Convection with\nThermal Creep in a Vertical Microchannel,\" Journal of Physics D:\nApplied Physics, Vol. 39, No. 14, July 2006, pp. 3107-3118.\n[10] Du, D. X., Li, Z. X., and Guo, Z. Y., \"Effect of Reversible Work\nand Viscous Dissipation on Gas Flow Characteristics in a Microtube,\"\nJournal of TshingHua University (Science and Technology), Vol. 40, No.\n11, 2000, pp. 19-22.\n[11] Tunc, G., Bayazitoglu, Y., \"Heat transfer in microtubes viscous dissipation\",\nInternational Journal of Heat and Mass Transfer 44(2001)2395-\n2405.\n[12] Xu, B., Ooi, K.T., Mavriplis, C., Zaghloul, M.E., \"Evaluation of viscous\ndissipation in liquid flow in icrochannels\", Journal of Micromechanics\nand Microengineering 13 (2003) 53-57\n[13] Darbandi, M., Vakilipour, S., \"Numerical Study of Flow and Heat in\nLong Micro and Nano Channels,\" International Conference of ASME\nMicro/Nanoscale Heat Transfer, Tainan, Taiwan, Jan. 6-9, 2008.\n[14] Darbandi, M., Vakilipour, S., \"Developing Consistent inlet Thermal\nBoundary Condition in Micro/Nano Scale Channels with Heat Transfer,\"\nInternational Conference of ASME Micro/Nanoscale Heat Transfer,\nTainan, Taiwan, Jan. 6-9, 2008.\n[15] Cai, Ch., Boyd, I. D., \"Compressible Gas Flow Inside a Two-\nDimensional Uniform Microchannel\", Jouranal of Thermophysics and\nHeat Transfer , Vol. 21, No. 3, July-September 2007.\n[16] Arkilic, E. B., Schmidt, M. A., Breuer, K. S., \"Gaseous Slip Flow in\nLong Microchannels,\" Journal of Microelectromechanical Systems, Vol.\n6, No. 2, June 1997, pp. 167-178.\n[17] Schaaf, S.A., Chambre, P.L., \"Flow of Rarefied Gases\", Princeton\nUniversity Press, 1961."]}