An inverse hyperbolic heat conduction problem in estimating base heat flux of two-dimensional cylindrical pin fins

Electrical Characteristics of a Hybrid Photovoltaic/Thermoelectric Generator System

“…The better air‐cooling results are shown by the comparison of a plate‐pin fin heat sink with a plate fin heat sink . The heat flux of pin fin heat sink has been estimated under three cases (different time steps, ξ =0.05, 0.25, 0.45, and different heat fluxes, ς =0.0, 0.25, 0.5, respectively) . Therefore, the TE module can be used to cool the PV and generate additional electrical energy with the help of the waste heat of the PV …”

“…[16] Theh eat flux of pin fin heat sink has been estimated under three cases (different time steps, x = 0.05, 0.25, 0.45, and different heat fluxes, & = 0.0, 0.25, 0.5, respectively). [17] Therefore,t he TE module can be used to cool the PV and generate additional electricale nergy with the help of the waste heat of the PV. [18,19] In addition, Attivissimo [20] has described at heoretical approach to evaluate the performance of the PV/TE hybrid system.…”

Estimation of Heat Flux in Two-Dimensional Nonhomogeneous Parabolic Equation Based on a Sufficient Descent Levenberg–Marquard Algorithm

“…Ruan et al [11] investigated an inverse source problem for the time-fractional diffusion equation, which is formulated into an optimization problem, and a semismooth Newton (SSN) algorithm is developed to solve it. Chen et al [12] applied an inverse algorithm based on the conjugate gradient method and the discrepancy principle to solve the inverse hyperbolic heat conduction problem. Zhao and Banda [13] deal with an inverse problem of determining the diffusion coefficient, spacewise dependent source term, and initial value simultaneously for the one-dimensional heat equation.…”

The dilemma of hyperbolic heat conduction and its settlement by incorporating spatially nonlocal effect at nanoscale

“…The HHC is also adopted to analyze laser heating or thermal processing of materials employing the internal heat source [21,[25][26][27][28]. Some inverse HHC problems are investigated within hyperbolic heat conductive law [29][30][31][32][33][34]. The boundary conditions in nanoscale heat conduction were also discussed by Monte Carlo simulations [35].…”