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Keywords: differential equations
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Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. December 2011, 133(12): 122501.
Published Online: September 29, 2011
... 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...
Journal Articles
Publisher: ASME
Article Type: Max Jakob Award Paper
J. Heat Mass Transfer. October 2011, 133(10): 103001.
Published Online: August 11, 2011
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. September 2011, 133(9): 092001.
Published Online: July 27, 2011
... 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...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Heat Mass Transfer. February 2011, 133(2): 024502.
Published Online: November 3, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. June 2010, 132(6): 062501.
Published Online: March 24, 2010
.... , 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. January 2010, 132(1): 011702.
Published Online: October 26, 2009
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. May 2009, 131(5): 052001.
Published Online: March 18, 2009
...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...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Heat Mass Transfer. January 2009, 131(1): 014503.
Published Online: October 20, 2008
... results lead to a correlation incorporating conductivity ratio and interstitial heat transfer coefficient. differential equations flow through porous media heat conduction porous materials thermal conductivity analytical solution porous media nonthermal equilibrium variable porosity...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. December 2008, 130(12): 121701.
Published Online: September 16, 2008
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Heat Mass Transfer. August 2008, 130(8): 084503.
Published Online: May 30, 2008
... 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. The basic relationship for the thermal change...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Heat Mass Transfer. June 2007, 129(6): 717–726.
Published Online: June 19, 2006
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. November 2006, 128(11): 1142–1148.
Published Online: May 9, 2006
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. January 2006, 128(1): 44–52.
Published Online: July 16, 2005
... 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...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Heat Mass Transfer. April 2003, 125(2): 377–387.
Published Online: March 21, 2003
.... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Heat Mass Transfer. December 2002, 124(6): 1176–1181.
Published Online: December 3, 2002
... by the Heat Transfer Division December 14, 2001; revision received July 22, 2002. Associate Editor: D. Poulikakos. 14 December 2001 22 July 2002 03 12 2002 finite volume methods Boltzmann equation heat conduction heat radiation differential equations Computational...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Heat Mass Transfer. August 2002, 124(4): 601–608.
Published Online: July 16, 2002
... 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...