... at the outer surface of the inner cylinder. The governing equations of motion and energy are transformed into ordinary differential equations using the Laplace transform technique. The ordinary differential equations are then solved analytically and the Riemann-sum approximation method is used to invert...

... of the plate. Using a pseudo similarity approach, the continuity, momentum, and energy equations for mixed convective flow over the right face of the plate are transformed into a set of coupled ordinary differential equations. It is found that for a true similarity solution, the convective heat transfer...

... of application of the closure schemes. A natural way to transfer from transport equations in a porous media with integral terms to differential equations with coefficients that could be experimentally or numerically evaluated and determined is described. The relationship between computational fluid dynamics...

... and moisture transfer from the air to the liquid, through the membranes, are described. An analytical solution is obtained for the dimensionless differential equations, with which the dehumidification effectiveness could be estimated by simple algebraic calculations. It provides a convenient yet accurate tool...

... medium. The two-dimensional Cartesian coordinate system is used to simulate flow over inclined surface by considering the blocked-off region in regular grid. The governing differential equations consisting the momentum and energy are solved numerically by the computational fluid dynamics techniques...

... simulated. The disk-to-cone gap made 1–5 deg. Transport equations were reduced to a system of self-similar ordinary differential equations solved numerically. Cases studied were a rotating cone and a stationary plate, and vice versa. The cone was isothermal, while the disk temperature followed a power-law...

.... , 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...

... and the temperature T . The numerical solution of the coupled and nonlinear system of ordinary differential equations, resulting after the introduction of appropriate nondimensional variables, with its boundary conditions, describing the problem under consideration, is obtained by an efficient numerical technique...

...Anna K. Hueffed; Louay M. Chamra; Pedro J. Mago This paper presents a simplified model to predict the heat and mass transfer between air and falling-film liquid desiccant during dehumidification in a parallel-plate absorber. First-order, ordinary differential equations are used to estimate the heat...

... results lead to a correlation incorporating conductivity ratio and interstitial heat transfer coefficient. 27 12 2007 18 06 2008 20 10 2008 differential equations flow through porous media heat conduction porous materials thermal conductivity analytical solution porous...

... sheet and the upper plate is a porous plate subject to constant injection. The governing partial differential equations are transformed to a system of ordinary differential equations with the help of similarity transformation. Homotopy analysis method is used to get complete analytic solution...

... between pressure and temperature. The simplified representations of thermal-hydraulic differential equations are also proposed in this paper, which can reduce simulation time. The validity of the simplified representations is judged by simulation. 08 02 2007 25 02 2008 30 05 2008...

... layers vortices thermal resistance differential equations natural convection PDQ enclosure partition vorticity stream function Natural convection in an enclosure has been receiving considerable attention due to its importance in various engineering applications, such as double-pane...

... in the model equations. Within a relatively narrow range of operating conditions, the humidity ratio of air in equilibrium with the water surface was assumed to be a linear function of the surface temperature. The differential equations were rearranged and an analytical solution was developed for newly defined...

... of temperature measurements taken at two different locations within the pipe flow. The present approach rearranges the matrix forms of the governing differential equations and then applies a whole domain estimation with the function specification method and the linear least-squares-error method to determine...

... and Rosehsnow 3 4 , Wirtz and Stutzman 5 , Wills 6 , Landis and Elenbaas 7 , and Moffat and Ortega 8 . Many of these correlations explore the influence of parameters such as geometry, temperature differential, and flow conditions, on heat transfer. differential equations thermal analysis forced...

.... The governing differential equations are derived, nondimensionalized, and solved analytically for the case of an exponentially distributed kinetic energy. Graphical solutions are presented and interpreted for several cases. The solutions are applied to a particular case involving high velocities within...

... December 2001 22 July 2002 03 12 2002 finite volume methods Boltzmann equation heat conduction heat radiation differential equations Computational Conduction Heat Transfer Microscale Modeling Heat conduction at very small scales is becoming increasingly important...

... flux using synthetic kernels are reduced to a set of coupled second-order differential equations for which proper boundary conditions are established. Performance of the three quadrature sets proposed for isotropic scattering medium are further tested for linearly anisotropically scattering medium...

... equations and then a linear inverse model is constructed to identify the unknown boundary conditions. The present approach is to rearrange the matrix forms of the governing differential equations and estimate the unknown boundary conditions of the heated cylinder. Then, the linear least-squares-error method...