Based on the recently introduced fractional Taylor’s formula, a fractional heat conduction constitutive equation is formulated by expanding the single-phase lag model using the fractional Taylor’s formula. Combining with the energy balance equation, the derived fractional heat conduction equation has been shown to be capable of modeling diffusion-to-Thermal wave behavior of heat propagation by ...

Longitudinal heat conduction is an important parameter in the cryogenic field, especially in cryogenic heat exchangers. In the present work, the parasitic effect of tube wall longitudinal heat conduction on temperature measurement has been studied in cryogenic laminar hydrogen flow. The effects of various parameters such as wall cold end temperature, wall thermal conductivity, gas volumetric fl...

Abstract – A one-dimensional inverse heat conduction problem (IHCP) of estimating an unknown heat flux, given experimental temperature measurements at a point in the domain, is solved using evolutionary algorithms (EA). The EA based methods used to solve the one-dimensional IHCP in the literature involve minimization of the Tikhonov functional. In this paper, a modified approach is utilized whe...

To deal with the ill-posed nature of inverse heat conduction problem (IHCP), regularization parameter ? can be incorporated into a minimization problem, which is known as Tikhonov method, popular technique to obtain stable sequential solutions. Because penalty term, its excessive use may cause large bias errors. A ridge regression was developed an estimator optimal minimize magnitude gain coeff...