A Numerical Model for the Flow and Heat Transfer Characteristics of Rarefied Gas over a Cylinder in Slip Flow Regime[J]. 2019, 53(1): 25-32.
DOI:
A Numerical Model for the Flow and Heat Transfer Characteristics of Rarefied Gas over a Cylinder in Slip Flow Regime[J]. 2019, 53(1): 25-32.DOI: 10.7652/xjtuxb201901004.
A Numerical Model for the Flow and Heat Transfer Characteristics of Rarefied Gas over a Cylinder in Slip Flow Regime
To more accurately solve the problem of rarefied gas flow and heat transfer over a cylinder in slip flow regime
based on the ANSYS FLUENT platform of finite volume method
a modified numerical model of slip boundary is proposed. The first-order velocity slip and temperature jump are considered in this model
and the first-order velocity slip includes the effects of the thermal creep caused by axial temperature and the curvature of wall surface. Compared with experimental data
the errors of the values calculated by modified model of slip boundary and by direct simulation without slip boundary are very small when the rarefied gas flow is in the continuous flow regime. The precise prediction of flow and heat transfer characteristics can be achieved by using the present model
and the relative error is ±2.5% when the rarefied gas flow is in the slip flow regime. Rarefying effect has significant influence on the flow characteristics of low pressure gas over a cylinder. With the increase of Knudsen number
the maximum dimensionless slip velocity increases linearly
while the maximum surface friction coefficient decreases linearly. This method can be widely used in engineering to explore the heat transfer mechanism of low pressure gases
and may become an effective numerical method for the study on the flow and heat transfer of rarefied gases in slip flow regime.
HUANG Fei, LÜ Junming, CHENG Xiaoli, et al. Aerodynamics of Mars entry vehicles under hypersonic rarefied condition [J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(5): 120457.
KHAMSHAH N, ABDALLA A N, KOH S P, et al. Issues and temperature compensation techniques for hot wire thermal flow sensor: a review [J]. International Journal of Physical Sciences, 2011, 7979(4): 193-196.
KIM T K, KIM K H, KWON H B. Aerodynamic characteristics of a tube train [J]. Journal of Wind Engineering Industrial Aerodynamics, 2011, 99(12): 1187-1196.
KISHORE N, RAMTEKE R R. Forced convective heat transfer from spheres to Newtonian fluids in steady axisymmetric flow regime with velocity slip at fluid-solid interface [J]. International Journal of Thermal Sciences, 2016, 105: 206-217.
KISHORE N, RAMTEKE R R. Slip in flows of power-law liquids past smooth spherical particles [J]. Acta Mechanica, 2015, 226(8): 2555-2571.
CHOI Y J, KWON O J. Numerical study of effects of accommodation coefficients on slip phenomena [J]. Journal of Mechanical Science Technology, 2015, 29(5): 1883-1888.
LI D, LI S, XUE Y, et al. The effect of slip distribution on flow past a circular cylinder [J]. Journal of Fluids Structures, 2014, 51: 211-224.
STRÖM H, SASIC S. Heat transfer effects on particle motion under rarefied conditions [J]. International Journal of Heat Fluid Flow, 2013, 43(43): 277-284.
SUO Xiaona, WANG Qiuwang, LUO Laiqin. Effects of compressibility and rarefaction on gaseous flow and heat transfer in micro-channels [J]. Journal of Engineering Thermophysics, 2005, 26(4): 659-661.
XIE F S, LI Y Z, WANG X B, et al. Numerical study on flow and heat transfer characteristics of low pressure gas in slip flow regime [J]. International Journal of Thermal Sciences, 2018, 124: 131-145.
LOCKERBY D A, REESE J M, EMERSON D R, et al. Velocity boundary condition at solid walls in rarefied gas calculations [J]. Phys Rev: E Stat Nonlin Soft Matter Phys, 2004, 70(2): 017303.
XIE F S, LI Y Z, LIU Z, et al. A forced convection heat transfer correlation of rarefied gases cross-flowing over a circular cylinder [J]. Experimental Thermal Fluid Science, 2016, 80: 327-336.
XIE Fushou, LI Yanzhong, WANG Xinbao, et al. Experimental study on the forced convection heat transfer characteristics of air flow across a cylinder under low vacuum pressures [J]. Journal of Xi'an Jiaotong University, 2017, 51(3): 43-61.
MAXWELL J C. On stresses in rarified gases arising from inequalities of temperature [J]. Philosophical Transactions of the Royal Society of London, 1879, 170: 231-256.
ANBARSOOZ M, NIAZMAND H. Heat transfer characteristics of slip flow over solid spheres [J]. Proc IMechE: Part C J Mechanical Engineering Science, 2016, 230(19): 3431-3441.
LEONTIDIS V, CHEN J, BALDSA L, et al. Numerical design of a Knudsen pump with curved channels operating in the slip flow regime [J]. Heat and Mass Transfer, 2014, 80(8): 1065.
FAND R M. Heat transfer by forced convection from a cylinder to water in crossflow [J]. International Journal of Heat Mass Transfer, 1965, 8(7): 995-1010.
HILPERT R. Heat transfer from cylinders [J]. Forsch Geb Ingenieurwes, 1933, 4: 215.
MCADAMS W H. Heat Transmission [M]. New York, USA: McGraw-Hill, 1954: 31-35.
COLLIS D C, WILLIAMS M J. Two-dimensional convection from heated wires at low Reynolds numbers [J]. Journal of Fluid Mechanics, 1959, 6(3): 357-384.