A numerical method is developed based on an unstructured mesh to compute an ionized hypersonic flowfield with radiation in the thermo-chemical nonequilibrium. The flowfield is described by multi-species NavierStocks e...A numerical method is developed based on an unstructured mesh to compute an ionized hypersonic flowfield with radiation in the thermo-chemical nonequilibrium. The flowfield is described by multi-species NavierStocks equations. The chemical model includes 11 species （O2, N2, O, N, NO, NO^＋ , N^＋ , O^＋, N2^＋ , O2^＋, e^- ） and 20 reactions. For simulating the thermal non-equilibrium effect, the two-temperature model is considered. The finite volume method （FVM） used for the spatial and directional discretization of radiative transfer equation（RTE） is described for unstructured grids. The numerical code can handle different kinds of species and radiative bands in a gas thermodynamicly described by two temperatures. In particular, the Delta, Epsilon, Beta prime, and Gamma prime bands of NO are choosen and the distribution of the radiation intensity is obtained.展开更多
The effect of friction factor on the unsteady state mixed convective-radiative heat transfer in an inclined cylindrical annulus is investigated from continuity, momentum and energy equations. The outer cylinder is kep...The effect of friction factor on the unsteady state mixed convective-radiative heat transfer in an inclined cylindrical annulus is investigated from continuity, momentum and energy equations. The outer cylinder is kept at a constant temperature while the inner cylinder is heated with constant heat flux. The governing equations are normalized and solved using the vorticity-stream function and the BFC （body fitted coordinates） methods. The two heat transfer mechanisms of convection and radiation are treated independently and simultaneously. A computer program （Fortran 90） was built to calculate Nusselt number （Nu） and friction factorffor unsteady state condition for fluid Prandtl number fixed at （Pr = 0.7） （for air as working fluid） with radius ratio （/~ = 2.6）, Rayleigh number （0 〈 Ra 〈 103）, Reynolds number （50 〈 Re 〈 2,000）, conduction-radiation parameter （0 〈 N 〈 10）, optical thickness （0 〈 l＂ 〈 10） and different annulus inclination with horizontal plane （0~ _〈 d 〈 90~） for concentric cylindrical annulus. For the range of parameters considered, results show that radiation enhance heat transfer. It is also indicated in the results that as 3 increasefwill be decrease and also when Re increasefwill be decrease for any value of Ra causing increase in heat transfer. The maximum value off can be recognized at ~ = 90~ and the minimum value at 6 = 0~ for low Re. There is an optimum value of annulus inclination that gives maximum value of Nu, this maximum value appears at 90~ of annulus inclination comparison of the result with the previous work shows a good agreement.展开更多
文摘A numerical method is developed based on an unstructured mesh to compute an ionized hypersonic flowfield with radiation in the thermo-chemical nonequilibrium. The flowfield is described by multi-species NavierStocks equations. The chemical model includes 11 species （O2, N2, O, N, NO, NO^＋ , N^＋ , O^＋, N2^＋ , O2^＋, e^- ） and 20 reactions. For simulating the thermal non-equilibrium effect, the two-temperature model is considered. The finite volume method （FVM） used for the spatial and directional discretization of radiative transfer equation（RTE） is described for unstructured grids. The numerical code can handle different kinds of species and radiative bands in a gas thermodynamicly described by two temperatures. In particular, the Delta, Epsilon, Beta prime, and Gamma prime bands of NO are choosen and the distribution of the radiation intensity is obtained.
文摘The effect of friction factor on the unsteady state mixed convective-radiative heat transfer in an inclined cylindrical annulus is investigated from continuity, momentum and energy equations. The outer cylinder is kept at a constant temperature while the inner cylinder is heated with constant heat flux. The governing equations are normalized and solved using the vorticity-stream function and the BFC （body fitted coordinates） methods. The two heat transfer mechanisms of convection and radiation are treated independently and simultaneously. A computer program （Fortran 90） was built to calculate Nusselt number （Nu） and friction factorffor unsteady state condition for fluid Prandtl number fixed at （Pr = 0.7） （for air as working fluid） with radius ratio （/~ = 2.6）, Rayleigh number （0 〈 Ra 〈 103）, Reynolds number （50 〈 Re 〈 2,000）, conduction-radiation parameter （0 〈 N 〈 10）, optical thickness （0 〈 l＂ 〈 10） and different annulus inclination with horizontal plane （0~ _〈 d 〈 90~） for concentric cylindrical annulus. For the range of parameters considered, results show that radiation enhance heat transfer. It is also indicated in the results that as 3 increasefwill be decrease and also when Re increasefwill be decrease for any value of Ra causing increase in heat transfer. The maximum value off can be recognized at ~ = 90~ and the minimum value at 6 = 0~ for low Re. There is an optimum value of annulus inclination that gives maximum value of Nu, this maximum value appears at 90~ of annulus inclination comparison of the result with the previous work shows a good agreement.
