Transient laminar conjugate heat transfer of a rotating disk: theory and numerical simulations

Unsteady conjugate laminar heat transfer of a rotating non-uniformly heated disk: Application to the transient experimental technique

“…In particular, Eq. (2) was shown to agree well with the numerical solution of the unsteady conjugate heat transfer problem for a disk rotating in still air at laminar flow regime [9]. In agreement with [10], the authors [8,9] also suggested to use solution (2) and (3) to determine heat transfer coefficients basing on the instantaneous surface temperature measurements in view of the fact that (2) degenerates just to the first term of the Fourier series at Fo P 0.3.…”

“…This problem has itself an important meaning in view of the numerous industrial applications of rotating disks (turbomachinery, computer disk drives, electrochemistry etc.). Another reason is that the results presented in this paper are strongly based on the previously obtained outcomes of the transient heat transfer investigations of a single isothermal disk [8,9].…”

“…Following [3,8,9], we consider a rotating disk (b = 0.123 m, s = 0.01 m), which at t = 0 starts cooling down to temperature T 1 without additional input of heat.…”

“…Therefore, the measurement time is strictly limited: by the value Fo = 1/4 in accordance with the classical theory [6] or Fo = 1 according to [7]. As shown in [8,9], significant deviations of the experimental results [3] from the standard data of other authors might have occurred because of disregarding the aforementioned restriction in the measurement time.…”

Start-up slip flow in a microchannel with a rectangular cross section

“…The sudden change of the time-dependent thermal boundary conditions was simulated in Refs. [24,25] dealing with the unsteady cooling of a preliminarily heated wall instantly subject to a stepwise change of the cooling air temperature.…”