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Keywords: partial differential equations
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Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. June 2012, 134(6): 064503.
Published Online: May 2, 2012
... elimination. biological laser partial differential equations heat equation 15 09 2010 08 11 2011 30 04 2012 02 05 2012 2012 American Society of Mechanical Engineers ...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. January 2012, 134(1): 011302.
Published Online: November 18, 2011
... heat conduction Lyapunov methods numerical analysis partial differential equations specific heat temperature distribution thermal conductivity boundary control temperature control spherical shell spatially varying parameters Areas of great technological interest in all...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. October 2011, 133(10): 101701.
Published Online: August 15, 2011
... approach is adopted to comprehensively describe thermal characteristics of that new device. With a view to obtaining more practical expressions than accepted before, the Galerkin method based on the variational principle is used to solve governing partial differential equations. The induced tidal...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. September 2011, 133(9): 092601.
Published Online: July 7, 2011
... assumptions. A wavy to flat surface transformation is applied, and the resulting coupled nonlinear partial differential equations under Boussinesq approximation are reduced to boundary layer equations. A finite difference scheme based on the Keller-Box approach has been used in conjunction with block...
Journal Articles
Article Type: Thermal Issues In Emerging Technologies
J. Heat Transfer. June 2011, 133(6): 060905.
Published Online: March 7, 2011
... combination of fluid/solid domains. 03 02 2010 07 01 2011 07 03 2011 07 03 2011 convection design engineering flow simulation partial differential equations forced convection compact model heat transfer coefficient Heat transfer in electronic systems has received...
Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. May 2011, 133(5): 054503.
Published Online: February 2, 2011
... 2011 alumina boundary layers copper external flows forced convection friction nanofluidics nanoparticles needles numerical analysis partial differential equations viscosity needle forced convection boundary layer nanofluid numerical solution Thin needle is a body...
Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. May 2011, 133(5): 054501.
Published Online: February 1, 2011
...W. A. Khan; I. Pop The effects of the presence of an isotropic solid matrix and radiation on the forced convection boundary layer past a continuously moving flat plate is studied theoretically. The transformed nondimensional partial differential equations are solved numerically for some values...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. April 2011, 133(4): 041601.
Published Online: January 11, 2011
... distributions in the bed and at the air outlet are sampled over a short time period. The convective heat transfer coefficient is determined using data from the convective heat transfer process in the bed where the analysis includes the partial differential equation that describes the transient energy storage...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. February 2011, 133(2): 021304.
Published Online: November 3, 2010
...Hossein Rastgoftar; Mohammad Eghtesad; Alireza Khayatian In this paper, an analytical method and a partial differential equation based solution to control temperature distribution for functionally graded (FG) plates is introduced. For the rectangular FG plate under consideration, it is assumed...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. November 2009, 131(11): 111703.
Published Online: August 26, 2009
... are obtained using the homotopy analysis method and via a polynomial exponential basis. Also, the effect of the radiation-conduction parameter N rc and the Biot number Bi for the temperature on the surface of the spherical body is investigated and discussed. partial differential equations boundary value...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. August 2009, 131(8): 082001.
Published Online: June 1, 2009
... partial differential equations of the MHD convective mass transfer flow are reduced to nonlinear ordinary differential equations by introducing suitable similarity transformations. The nonlinear similarity equations are then solved numerically by Nachtsheim–Swigert iteration technique. The results...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. December 2008, 130(12): 121302.
Published Online: September 24, 2008
... ( r , t + τ q ) ⋅ ∇ T ( r , t + τ q ) = α Δ T ( r , t + τ T ) Apparently for the original single- and dual-phase-lagging models, the governing equation of microscale heat conduction in the moving medium is a single partial differential equation even...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. February 2008, 130(2): 022201.
Published Online: February 4, 2008
...) with that of the k - ε turbulence model in predicting the flow field. A finite difference method has been used to solve a system of coupled partial differential equations. A comparison has been carried out between the numerical results obtained in the present work and experimental and numerical data reported...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. January 2008, 130(1): 012601.
Published Online: January 25, 2008
... distribution. Numerically, for generating a boundary/interface fitted coordinate system, structured grids are initialized using transfinite interpolation algebraic methods and the quality of structured grids can be significantly improved by applying parabolic-partial differential equation (PDE) methods...
Journal Articles
Article Type: Technical Briefs
J. Heat Transfer. December 2007, 129(12): 1723–1728.
Published Online: March 12, 2007
... . The effect of the temperature difference aspect ratio will be further investigated to examine the efficiency and/or enhanced heating rates in the enclosure. The Galerkin finite element method with penalty parameter has been used to solve the nonlinear coupled partial differential equations for flow...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. November 2007, 129(11): 1584–1591.
Published Online: March 5, 2007
... at the liquid-vapor interface and the disjoining pressure have been used in the momentum balance equation of the model. The sensible heat used by the substrate is also taken into account using a pseudo-lump capacity model. The coupled nonlinear partial differential equations governing the transient fluid flow...
Journal Articles
Article Type: Technical Papers
J. Heat Transfer. September 2007, 129(9): 1212–1216.
Published Online: January 17, 2007
... with the distance from the stagnation point. The governing partial differential equations are transformed into a system of ordinary differential equations, which is then solved numerically by a finite-difference method. The features of the flow and heat transfer characteristics for different values of the governing...
Journal Articles
Article Type: Technical Papers
J. Heat Transfer. July 2007, 129(7): 827–834.
Published Online: July 12, 2006
... equations, in conjunction with the ideal gas equation of state. The set of partial differential equations is solved using the finite volume method, for a square and a right-angled isosceles triangular enclosure, accounting for the second-order accurate QUICK and SIMPLE schemes. The grid layouts rendered...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. March 2007, 129(3): 379–386.
Published Online: May 11, 2006
... of shrinking bodies has been developed where the moisture content and temperature fields in the drying body are expressed by a system of two coupled partial differential equations. The shrinkage effect was incorporated through the experimentally obtained changes of the specific volume of the drying body...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. April 2006, 128(4): 368–373.
Published Online: November 22, 2005
... are required. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a nonsimilar transformation, and the resulting system of nonlinear coupled partial differential equations is then solved by an implicit finite difference scheme in combination...