LI Yubing, YANG Mo, LU Tingkang, DAI Zhenghua. Study on heat and mass transfer and nonlinear characteristics with heat and mass source in cavity[J]. CIESC Journal, 2019, 70(S2): 130-137
LI Yubing, YANG Mo, LU Tingkang, DAI Zhenghua. Study on heat and mass transfer and nonlinear characteristics with heat and mass source in cavity[J]. CIESC Journal, 2019, 70(S2): 130-137DOI: 10.11949/0438-1157.20190530.
Study on heat and mass transfer and nonlinear characteristics with heat and mass source in cavity
a square cavity with mass and heat source was studied with the background of fire. According to the different Rayleigh number(
Ra
) and buoyance ratio
Nc
S
r
and
D
f
the heat and mass transfer law and nonlinear characteristics of the fluid in the cavity are discussed. The results show that the critical
Ra
c
causes the fluid flow to change from the heat-induced driving flow to the convection-driven flow. As
Ra
increases the heat and mass transfer of the surface of the heat and mass source
the fluid changes from steady-state flow to oscillating state. When
Nc
>
-1
the convective heat transfer coefficient and the convective mass transfer coefficient increase
and the fluid transforms from steady state to double-period oscillation
and finally to chaos. Increasing
S
r
and
D
f
can increase flow and heat and mass transfer.
关键词
Keywords
references
Sankar M , Park J , Younghae D O . Numerical study of natural convection in a vertical porous annulus with internal heat source (ENG) [J]. International Journal of Heat & Mass Transfer , 2011 , 54 ( 7/8 ): 1493 - 1505 .
Tasaka Y , Takeda Y . Effects of heat source distribution on natural convection induced by internal heating [J]. International Journal of Heat & Mass Transfer , 2005 , 48 ( 6 ): 1164 - 1174 .
Shen C , Yang M , Zhang Y , et al . Effects of slotted structures on nonlinear characteristic of natural convection in a cylinder with an internal concentric [J]. Numerical Heat Transfer , Part A: Applications , 2016 , 70 ( 5 ): 447 - 459 .
Li Z , Yang M , Chen Q C , et al . Numerical solution of melting in a discretely heated enclosure using an interfacial tracking method [J]. Numerical Heat Transfer , Part A: Applications , 2013 , 64 ( 11 ): 841 - 857 .
Karimi F , Xu H T , Wang Z , et al . Numerical simulation of unsteady natural convection from heated horizontal circular cylinders in a square enclosure [J]. Numerical Heat Transfer , Part A: Applications , 2014 , 65 ( 8 ): 715 - 731 .
Lin J H , Chen C K , Yang Y T , et al . The inverse estimation of the thermal boundary behavior of a heated cylinder normal to a laminar air stream [J]. International Journal of Heat and Mass Transfer , 2000 , 43 ( 21 ): 3991 - 4001 .
Juncu G . Conjugate heat/mass transfer from a circular cylinder with an internal heat/mass source in laminar crossflow at low Reynolds numbers [J]. International Journal of Heat & Mass Transfer , 2005 , 48 ( 2 ): 419 - 424 .
Hill A A . Double-diffusive convection in a porous medium with a concentration based internal heat source [J]. Proceedings Mathematical Physical & Engineering Sciences , 2005 , 461 ( 2054 ): 561 - 574 .
Nazari M , Louhghalam L , Kayhani M H . Lattice Boltzmann simulation of double diffusive natural convection in a square cavity with a hot square obstacle [J]. Chinese Journal of Chemical Engineering , 2015 , 23 ( 1 ): 22 - 30 .
Li B B , Sun W K , Lyu H , et al . The study of oscillating characteristic of double diffusive mixed convection in an enclosure [J]. Journal of Engineering Thermophysics , 2015 , 36 ( 4 ): 874 - 878 .
Shi K F , Lu W Q . Numerical simulation of double-diffusive convection with cross gradients [J]. Journal of Engineering Thermophysics , 2005 , 26 ( 2 ): 328 - 330 .
Deepika N , Narayana P A L . Nonlinear stability of double-diffusive convection in a porous layer with throughflow and concentration based internal heat source [J]. Transport in Porous Media , 2016 , 111 ( 3 ): 751 - 762 .
Matta A , Hill A A . Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source [J]. Continuum Mechanics and Thermodynamics , 2017 , 30 ( 1 ): 165 - 173 .
Xu H T , Li B B . Lattice BGK simulations of the double diffusive mixed convection in an enclosure with different outlet locations [J]. International Journal of Heat and Mass Transfer , 2016 , 92 : 158 - 172 .
Xu H T , Luo Z Q . Lattice Boltzmann simulations of the double-diffusive natural convection and oscillation [J]. International Journal of Thermal Sciences , 2019 , 136 : 159 - 171 .
Platten J K . The Soret effect: a review of recent experimental results [J]. Journal of Applied Mechanics , 2014 , 73 ( 1 ): 5 - 15 .
Malashetty M S , Gaikwad S N . Effect of cross diffusion on double diffusive convection in the presence of horizontal gradients [J]. International Journal of Engineering Science , 2002 , 40 ( 7 ): 773 - 787 .
Gaikwad S N , Malashetty M S , Prasad K R . An analytical study of linear and non-linear double diffusive convection with Soret and Dufour effects in couple stress fluid [J]. International Journal of Non-Linear Mechanics , 2007 , 42 ( 7 ): 903 - 913 .
Gaikwad S N , Kouser S . Double diffusive convection in a couple stress fluid saturated porous layer with internal heat source [J]. International Journal of Heat & Mass Transfer , 2014 , 78 ( 11 ): 1254 - 1264 .
Altawallbeh A A , Bhadauria B S , Hashim I . Linear and nonlinear double-diffusive convection in a saturated anisotropic porous layer with Soret effect and internal heat source [J]. International Journal of Heat & Mass Transfer , 2013 , 59 ( 1 ): 103 - 111 .
Wang J , Yang M , He Y L , et al . Oscillatory double-diffusive convection in a horizontal cavity with Soret and Dufour effects [J]. International Journal of Thermal Sciences , 2016 , 106 ( 7 ): 57 - 69 .
Wang J , Yang M , Zhang Y W . Coupling-diffusive effects on thermosolutal buoyancy convection in a horizontal cavity [J]. Numerical Heat Transfer , Part A , 2015 , 68 : 583 - 597 .
Wang J , Yang M , Zhang Y W . Onset of double-diffusive convection in horizontal cavity with Soret and Dufour effects [J]. International Journal of Heat and Mass Transfer , 2014 , 78 : 1023 - 1031,
Nithyadevi N , Yang R J . Double diffusive natural convection in a partially heated enclosure with Soret and Dufour effects [J]. International Journal of Heat & Fluid Flow , 2009 , 30 ( 5 ): 902 - 910 .
Bhuvaneswari M , Sivasankaran S , Kim Y J . Numerical study on double diffusive mixed convection with a Soret effect in a two-sided lid-driven cavity [J]. Numerical Heat Transfer , Part A: Applications , 2011 , 59 ( 7 ): 543 - 560 .
Gray D D , Giorgini A . The validity of the boussinesq approximation for liquids and gases [J]. International Journal of Heat & Mass Transfer , 1976 , 19 ( 5 ): 545 - 551 .
Barakos G , Mitsoulis E , Assimacopoulos D . Natural convection flow in a square cavity revisited: laminar and turbulent models with wall functions [J]. International Journal for Numerical Methods in Fluids , 1994 , 18 ( 7 ): 695 - 719 .
Béghein C , Haghighat F , Allard F . Numerical study of double-diffusive natural convection in a square cavity [J]. International Journal of Heat & Mass Transfer , 1992 , 35 ( 4 ): 833 - 846 .
Yang M , Shen Y Y , Xu H T , et al . Numerical investigation of the nonlinear flow characteristics in an ultra-supercritical utility boiler furnace [J]. Applied Thermal Engineering , 2014 , 88 : 237 - 247 .
Liu L N , Yang M , Wang Z Y , et al . Nonlinear flow and heat transfer phenomena in a channel with sudden expansion followed by sudden contraction [J]. Journal of University of Shanghai for Science & Technology , 2015 , 37 ( 5 ): 440 - 444 .