... and short channel lengths alongside high solid cross section to fluid free flow area make them susceptible to intense axial conduction loss. The conventional models for macrodevices based on the one-dimensional energy equation are often inappropriate in the microdomain. A novel multidimensional analytical...

... analytical solutions in 2D problems with partial heating. But the generalized solution proposed here contains the possibility of hundreds or even thousands of individual solutions. An indexed numbering system is used in order to highlight these individual solutions. Heating along a variable length...

... Analytical Conduction solutions grant, Award No. 1250625. Nomenclature a = radius of heating on surface (m) b = overall radius of cylindrical body (m) Bi r = radial Biot number (dimensionless) Bi x = axial Biot number (dimensionless) c = specific heat (J/kg K...

... 12, 2014. Assoc. Editor: D. K. Tafti. 03 06 2013 20 11 2013 convection dynamic systems transient analytical optimal frequency Study on the transient forced-convective tube flow was begun by investigating the thermal response of the tube flow following a step change...

... be demonstrated analytically using simpler k ( x , T ) functions. Consider more closely the case of a two-material composite (materials A and B ) with thermal conductivities k A ( x , T ) = f A ( x ) λ A ( T ) and k B ( x , T...

...Shadi Mahjoob; Kambiz Vafai Characterization and regulation of isothermal surfaces are key issues in a number of thermal management devices. The surface temperature uniformity can be controlled utilizing a variable area channel heat exchanger filled with a porous medium. A comprehensive analytical...

... confined flow convection creeping flow multiphase flow rotational flow thermally developing flow radial flow parallel disks analytical Heat transfer through thermally developing flows in conduits is important for understanding the fundamentals of convective heat transfer and also...

... of the forced convective heat transfer coupled with heat conduction through the foam fibers. Analytical expressions have been derived for the gas-solid temperature difference, total heat transfer through the foam, and efficiency of foam as an extended surface. The resulting expressions have strong resemblance...

... Transfer Division October 22, 2002; revision received June 3, 2004. Associate Editor: G. S. Dulikravich. 22 October 2002 03 June 2004 16 11 2004 integral equations heat transfer temperature distribution heating laser beam effects Analytical Heat Transfer Laser Thin...

... conductivity heat conduction continuum mechanics irreversible thermodynamics tensors Analytical Conduction Heat Transfer Second Law Thermodynamics In this work, an exposition is given, accompanied by new illustrative examples and minor clarifications to some of the existing literature...

...B. Kundu; P. K. Das An analytical method based on Frobenius power series expansion has been developed for the performance prediction of fully wet fins. Fins of different geometries, namely, longitudinal, annular and spine having both trapezoidal and triangular profiles have been considered. Unlike...

...Ted D. Bennett The phase of a temperature field resulting from the harmonic surface heating of a film can contain sufficient information to determine the film thermal properties. The case of a film having anisotropic properties and heated by a Gaussian laser beam is analytically analyzed...

...Kiari Boulama; Nicolas Galanis Exact analytical solutions for fully-developed, steady-state laminar mixed convection with heat and mass transfer between vertical parallel plates are presented. The thermal boundary conditions are UWT or UHF while the concentration at each wall is assumed...

...O. Fudym; J.-C. Batsale; R. Santander; V. Bubnovich Some analytical solutions of the one dimensional transient coupled heat and mass transfer linear equations in a semi-infinite medium are proposed, based on an extension of the thermal quadrupole formalism, in both axial and radial coordinate...

...: B. Farouk. 16 January 2003 21 January 2004 16 06 2004 convection laminar flow flow separation flow simulation channel flow pipe flow Analytical Annular Flow Convection Heat Transfer Mixed Convection Mixed (forced-free) convection heat transfer...

... 05 2004 cooling liquid films film flow wetting Analytical Conjugate Film Cooling Heat Transfer Modeling Transient An understanding of the heat transfer between a hot surface and an adjacent flowing cooling liquid film is important for many applications. Common examples...

... by classical methods. We will consider this problem with a regularizing parameter which approximates and regularizes the heat conduction model. heat conduction inverse problems temperature distribution temperature measurement Analytical Heat Transfer Inverse Stability Temperature 3...

... Division February 4, 2003; revision received August 26, 2003. Associate Editor: P. M. Ligrani. 04 February 2003 26 August 2003 19 11 2003 solidification freezing temperature distribution digital simulation Analytical Cylinder Heat Transfer Plate...

... in the kidney phantom during water bath heating. The model accounts for conjugate heat transfer between the paired artery and vein, and their surrounding tissue in the renal medulla. Tissue temperature distribution in the cortex was predicted using the Pennes bioheat transfer equation. An analytical solution...

... are practically impossible to realize within the constraints of finite size and time. This can be equated to the impossibility of realizing Carnot thermal efficiency in heat engines. In both cases, entropy generation (proportional to available work lost) tends to zero. Analytical Heat Transfer Heat...