The unknown coefficients in the FRFs are assembled in a linear system of matrix equations according to the thermal and mechanical loadings on surface and continuity condition of heat flux, temperature, displacement and stresses at each interface; then the coefficients are solved and expressed recursively.
During the solution, the Fourier coefficients are determined based on the continuity of the heat flux and boundary conditions.
It presents the advantage of allowing continuity of the heat transfer coefficient from the single-phase liquid region to the two-phase saturated flow boiling one.
During the solution, the Fourier coefficients are determined based on the continuity of the heat flux and boundary conditions; as a result, a system of 14N linear equations with 14N unknowns is obtained, where N is the truncation point of the Fourier series.
Based on the continuity of temperature, heat flux, displacements and stresses on the interface of two adjacent layers, the relationships of temperature, displacement and stress between the outermost surface and the innermost surface of the laminated arch were recursively generated by using the transfer matrix method.
A variety, uncertainty and, specially, a lack of continuity of the experimental heat transfer correlations in the subcooled flow boiling region is observed.
The heat transfer equations in the fluid and the finite thickness walls of the microchannel are solved analytically using thermal boundary conditions of the third kind at the outer surfaces of the walls and continuity of temperature and heat flux across the fluid wall interfaces.
We impose a fixed boundary temperature greater than the initial temperature and continuity of temperature and heat flux at the fluid-particle interface.
Continuity of temperature and the heat transfer rate at the intersection of the two different modes on fin surface are employed to obtain the one-dimensional temperature distribution and total heat transfer of the excavated fin.
The set of nonlinear three-dimensional hydrodynamic equations of the model is described by Gavrilov and Kshevetskii (2013b, 2014) and includes equations of motion, continuity, and heat balance.
