Kinetic EquationSolution MethodSpherical LayerAccommodation CoefficientThe problem of calculating a heat flux in a spherical layer is considered. The results are obtained in terms of the Bhatnagar-Gross-Krook model and the Boltzmann collision integral. A general (independent of the form of the kinetic...
Conductivity Identification in the Heat Equation by the Heat Flux ☆Kadec's 1/4-theoremstability boundframeRiesz basisThe author considers the problem of determining the thermal conductivity of a semi-infinite rod, given the temperature and heat flow at the endpoint. That is, given f on [0,T...
For the simulation of the DC measurement, the FEM solves for both the thermoelectric, electrical, and thermal equations. The governing equation for heat flux,q, in solid-state materials isq= −k∇T+αTJ, whereJis the current density. The governing equation for current density isJ= ...
The isotherm defining the base of the elastic layer in oceanic mantle material on Earth is at about 720 K (ref.54). We use this isotherm and equation (1) to determine the elastic thickness as a function of the heat flux. For a specified heat fluxF, we can also solve foruand thus...
i would like to find out what equation has been used in Fluent for the calculation of Total Heat Transfer Flux. I checked my value with the equation Q = m.Cp.(dT) but got a small value whereas the value shown tehre is higher. ...
Currently, the Boltzmann transport equation (BTE) is frequently utilized to predict the thermal conductivity of various materials based on third-order force constants calculated by first-principles. The thermal conductivities of ferropericlase (Fp) (Dekura and Tsuchiya, 2017, 2023; Song et al., 20...
also provides a natural way to specify boundary conditions in terms of the heat flux. For fixed boundary conditions, in terms of the temperature, the weak formulation uses the same mechanism of test functions and its natural boundary conditions to construct additional terms in the equation system....
Sulfide accumulation via fractional crystallization from mantle-derived magmas at the base of the continental crust before ascent is considered an important step for the generation of Cu-rich reservoirs in the lower crust (Lee et al., 2012; Jenner, 2017). Savage et al. (2015) performed high-...
Section 2 gives a succinct review of the conservation equations for mass, linear momentum, angular momentum, and energy, and the entropy tendency equation for the entropy for a two-component fluid mixture. The traditional approach introduces the Helmholtz free energy into the Clausius-Duhem ...
orientational softening. That means that orientational softening is not a mandatory mechanism for initial localization and can be compensated by smaller diopside content along those planes. Strain-controlled kinetic equation17,18for the volume fraction of the strain-induced high-pressure phase simplified ...