Analytical solution to the problem of heat transfer in an MHD flow inside a channel with prescribed sinusoidal wall heat flux

Transient conjugated heat transfer in thermally developing laminar flow in thick walled pipes and minipipes with time periodically varying wall temperature boundary condition

“…Conti et al [22] solved a problem in micro channels with periodically changing heat flux input. Problems under various spatially periodic changing boundary conditions are investigated by Pearlstein and Dempsey [23], Succec [24], Hsu [25], Patankar et al [26], Quaresma and Cotta [27], Barletta and Zanchini [28], Barletta and Rossi di Schio [29,30], Zniber et al [31], Barletta et al [32,33] and Aydın et al [34].…”

Laminar forced convective slip flow in a microduct with a sinusoidally varying heat flux in axial direction

“…As a representative one, we note microreactors where axial variation of heat flux, nearly in a sinusoidal manner, exits. For the macroscale case, there are some studies on forced convection in ducts with axially varying thermal boundary conditions [27][28][29][30][31][32][33][34][35][36][37][38].…”

An analytical solution to the heat transfer problem in Shercliff flow

“…Despite the existence of analytical solutions for the velocity profile, there is as yet (to the authors knowledge) no corresponding solution to the heat transfer problem for the Shercliff case (and indeed the Hunt cases). Such solutions exist for flow between parallel plates and flows in circular channels [4,5], and for 1-D heat transfer [6]. There are also some experimental and many numerical studies of heat transfer for Shercliff and related cases [7,8,9,10,11,12].…”