... – 2069 . 10.1016/j.jqsrt.2010.05.020 [6] Walton , G. N. , 2002 , “ Calculation of Obstructed View Factors by Adaptive Integration, National Institute of Standards and Technology ,” Report No. NISTIR 6925. [7] Mazumder , S. , 2008 , “ Methods to Accelerate Ray Tracing in the Monte...

...-time studies are presented, demonstrating the accuracy and efficiency of the k -distribution database. 24 07 2010 27 06 2011 07 10 2011 07 10 2011 aerodynamics heat transfer hypersonic flow integration nonequilibrium flow radiative transfer stagnation flow...

... the conservations of momentum and energy. The initial value problem is solved by space integration. The fixed ambient conditions are confirmed by way of the meltback effect. An integrated model is utilized to analyze the convective effect of two-phase flow, which dominates the evaporation behavior. Another...

... solutions for velocity and temperature are also obtained to predict the flow and temperature fields. The explicit expression for Nusselt number is also obtained through integration. A parametric study is conducted to investigate the influence of different factors on the flow resistance and heat transfer...

... transformations. The fluid properties are taken to be strong functions of temperature and Hall current that also readily accounts for the viscous dissipation and Joule heating terms. Employing a highly accurate spectral numerical integration scheme, the effects of viscosity, thermal conductivity, Hall current...

... of randomized rays leaving each surface. View factors were calculated for an operational fiber drawing furnace using both numerical integration and ray-tracing methods. Calculated view factor profiles were essentially identical above a ray density of 10 5 per unit area. Run times for the ray-tracing method were...

... similarity transformations. A compact, unconditionally stable, and highly accurate implicit spectral numerical integration algorithm is then employed in order to resolve the transient behavior of the velocity and temperature fields. The time evolution and steady state case of some parameters of fundamental...

.... , and Casti , J. , 1972 , “ Differential Quadrature: A Technique for the Rapid Solution of Nonlinear Partial Differential Equations ,” J. Comput. Phys. 0021-9991 , 10 , pp. 40 – 52 . 10.1016/0021-9991(72)90089-7 Shu , C. , 1992 , “ Generalized Differential-Integral Quadrature...

... components and the method to automatically generate the complete thermal-hydraulic system model are put forward. The integration methods for solving the cross-coupling thermal-hydraulic equations are also discussed for a position-controlled thermal-hydraulic system. Simulation results show the interaction...

... is coupled both ways through contact between part and mould. The paper presents the full statement of the problem regarding contact, and it considers the difficulties associated with FE mesh generation and time integration strategy. It also reviews soft and hard algorithms for mechanical contact presenting...

... line-by-line integration of the spectral absorption coefficients and is, therefore, impractical. The second approach employs a narrow-band k -distribution database to calculate all parameters as in the original narrow-banded based MSFSK formulation and is, therefore, efficient. This distribution scheme...

... parameters. The analytical model predicts the tower performances, outlet conditions, and parameter profiles quickly and accurately when comparing with the numerical integration of the original differential equations. heat transfer mass transfer cooling towers two-phase flow evaporation differential...

...D. Milov 26 05 2005 30 01 2006 heat transfer integral equations integration Laplace transforms In this paper, the authors claim in the abstract and the conclusion that the “solution with dual phase lag depends only on the difference between the two lags...

... solution of related nonlinear problems, e.g., Navier–Stokes flows. However, the robustness of these methods has not been examined, particularly for high Peclet number regimes. Here, we focus on these regimes for two-dimensional problems and develop the necessary temporal and spatial integration strategies...

...Weixue Tian; Wilson K. S. Chiu This paper presents a hybrid method to calculate direct exchange areas for an infinitely long black-walled rectangular enclosure. The hybrid method combines the finite volume method (FVM) with the midpoint integration scheme. Direct numerical integration of direct...

...Zekeriya Altac¸, Professor; Mesut Tekkalmaz, Graduate Student The SK N method is proposed for solving radiative transfer problems in solid spherical participating medium. The method relies on approximating the integral transfer kernels by a sum of synthetic kernels. Then the transfer equation...

... . Manuscript received by the Heat Transfer Division June 9, 2000; revision received January 20, 2001. Associate Editor: D. Poulikakos. 09 June 2000 20 January 2001 heat exchangers integration optimisation thermodynamic properties entropy Mach number Geometry Heat Exchangers...

... = 0.03 . It is also assumed that the boundaries of the layer are black and non-emitting. The SLW form of the RTE, Eq. ( 6 ), for gray gases can be solved analytically, and the integrated dissipation radiative source is defined by the following equation 15 : (26) Q x = − 2 π I b...

...S. L. Lee, Professor, Mem. ASME; C. R. Ou In this paper, the integration scheme is employed to solve a coupling problem of transient heat conduction and displacement due to thermal deformation. Based on the resulting displacement, gap or contact pressure on the interface of two thermoelastic bodies...