The specific heat capacity of a material, c [J kg-1 K-1], is a measure for the amount of heat energy that needs to be supplied to a unit mass of the material to achieve a unit increase in its temperature: (5)c=1ρ∂Q∂T Here, Q [J m-3] is the internal heat energy per...
Allowing for the law of energy conservation by which this amount of heat should be equal to the amount of heat passing through a unit of surface area per a unit of time due to internal heat conductivity, we have the next boundary condition: (1.43)λ∂T∂n+αT−T0=0. Condition (...
The value of the convergence criteria for energy was set with 1.0 × 10−5 eV per cell and the force was relaxed below 0.02 eV Å−1 to optimize the ground-state atomic geometries. The kinetic cut-off energy of the plane-wave basis function was set as 400 eV. The...
for which the energy is bounded from above by a given energyε. The number of statesν(ε) in ad – dimensional system is exactly equal to the sum of the number of points of ad – dimensional lattice with lattice constantsℏωi(i=1,2,…,...
We give sharp asymptotic estimates at infinity of all radial partial derivatives of the heat kernel on H-type groups. As an application, we give a new proo
Here uniqueness means up to scaling, sign change, and adding a multiple of, i.e., every finite energy stationary solution to (1.2) takes the formfor someand. The mapQand its rescaled versionsfor, are minimizers of the energyEwithin the class; in fact,. ...
a mesh-free numerical method to solve the Navier-Stokes equations and the energy Received 14 August 2006; accepted 22 November 2006. We are grateful to Gihun Son and Gopinath Warrier for helpful remarks on this work. This work is supported by NASA under the Microgravity Fluid Physics Program...
Thus, all the equations of conservation (mass, momentum and energy) as well known for single-phase fluids can be directly extended and employed for nanofluids. It is very interesting to mention that, although more experimental data will be needed in order to assess such an assumption, it ...
Active heating in the system is the key factor that dominates the freeze proofing and thermal insulation effects, and reasonable heating power can reduce the electric energy loss and operating costs [57]. The optimal average power can be obtained from the following formula: (2)qgene=Qgenet=Qout...
The thermal energy of crystalline solids: basic theory. Proc. Indian Acad. Sci. A 14(5), 459–467. https://doi.org/10.1007/BF03046567 (1941). Article Google Scholar Pässler, R. Non-debye heat capacity formula refined and applied to GaP, GaAs, GaSb, InP, InAs, and InSb. AIP Adv...