The transient hydrodynamics and thermal behaviors of fluid flow in open-ended vertical parallel-plate porous microchannel are investigated semi-analytically under the effect of the hyperbolic heat conduction model. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in the study. The Effects of Knudsen number , Darcy number , and thermal re...

The heat transport at microscale is vital important in the field of micro-technology. In this paper heat transport in a two-dimensional thin plate based on dual-phase-lagging (DPL) heat conduction model is investigated. The solution was obtained with the help of superposition techniques and solution structure theorem. . The whole analysis is presented in dimensionless form. A numerical example ...

The falling and settling of solid particles in gases and liquids is a natural phenomenon happens in many industrial processes. This phenomenon has altered pure forced convection to a combination of heat conduction and heat convection in a flow over a plate. In this paper, the coupling of conduction (inside the plate) and forced convection of a non-homogeneous nanofluid flow (over a flat plate) ...

It is well-known that in the disordered harmonic chain, heat conduction is subballistic and the thermal conductivity (κ) scales asymptotically as lim(L--> ∞) κ ∝ L(0.5) where L is the chain length. However, using the nonequilibrium Green's function (NEGF) method and analytical modelling, we show that there exists a critical crossover length scale (LC) below which ballistic heat conduction (κ ∝...

The magnitude and uniformity of the hotface temperature greatly affects the life of continuous casting molds, in addition to affecting surface defects in the product, such as longitudinal cracks. In this work, several different designs for the cooling channels of a beam-blank mold are evaluated using two-dimensional finite-element heat conduction models in order to minimize hotface temperature ...

The process of heat conduction has recently found application in personalized recommendation [Zhou et al., Proc. Natl. Acad. Sci. USA 107, 4511 (2010)], which is of high diversity but low accuracy. By decreasing the temperatures of small-degree objects, we present an improved algorithm, called biased heat conduction, which could simultaneously enhance the accuracy and diversity. Extensive exper...

An analytical characterization of forced convective ~ow through a channel _lled with a porous medium is presented in this work[ Based on a two!equation model\ including transverse conduction contributions\ exact solutions are obtained for both ~uid and solid phase temperature _elds[ The Nusselt number is also obtained in terms of the pertinent physical parameters\ namely the Biot number for the...