The effects of inlet temperature frequency on the quasi-steady approach of periodic conjugated heat transfer problem

Comparison of time-resolved heat transfer characteristics between laminar and turbulent convection with unsteady flow temperatures

“…Some related investigations can be found in [16][17][18][19][20][21]. Kim and Ozisik [16] studied the turbulent forced convection inside a parallel-plate channel with a periodically varying flow temperature and an uniform constant wall temperature.…”

“…Hybrid analytical-numerical solutions for the thermal response of the fluid were provided. The studies in Mansouri et al [20,21] analyzed the transient conjugated heat transfer process in turbulent duct flows subjected to periodically varying temperature with both theoretical and experimental methods. They showed that the quasi-steady method is only able to predict the temperature behavior inside the channel for lower frequencies of the flow temperature.…”

Application of integral transform technique to the transient laminar flow heat transfer in the ducts

“…The investigations on forced convection with periodic inlet temperature have been performed by numerous researchers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. The solution of heat transfer problems of this type usually leads to a non classical Sturm-Liouville complex system which no known solutions are available.…”

“…To study this problem deeply, it is necessary to take in consideration the heat conduction in the wall. Fourcher and Mansouri [17,18] analysed the problem of periodic laminar and turbulent forced convection taking into account the transversal heat conduction in the duct walls.…”