Analytical Solutions of Three Dimensional Steady-State Heat Transfer in Rectangular Ribs
In order to obtain an accurate result of the heat transfer
of the rib in the internal cooling Rectangular channel, using separation
of variables, analytical solutions of three dimensional steady-state heat
conduction in rectangular ribs are given by solving three dimensional
steady-state function of the rectangular ribs. Therefore, we can get
solution of three dimensional temperature field in the rib. Based on the
solution, we can get how the Bi number affected on heat transfer.
Furthermore, comparisons of the analytical and numerical results
indicate agreement on temperature field in the rib.
[1] Sandip Dutta, "Andrew Malcolm J Han Je Chin. Prediction of
turbulent flow and heat transfer in rotating square and rectangular
smooth channels" ASME, 962GT2234.
[2] Cai R X, Zhang D Y, "Some explicit analytical solutions of
unsteady two phase flow", Chinese Journal of Mechanical
Engineering, 2001, Vol.37, No.9, PP. 1-3
[3] Li M, Diao N R, Fang Z H, "Analysis on two-dimensional
steady-state heat conduction in rectangular fins", Journal of
ShangDong University of Architecture and Engineering, 2005
Vol.20,No.1,pp. 64-68
[4] Zhang J Z, Advanced Heat Transfer , Beijing: China Science and
Technology Press, 2009, pp.49-50
[5] Yang Q S, Pu B R, Advanced Heat Transfer , Shanghai: Shanghai
Jiao Tong university Press, 1996, pp.21-22
[6] Xiao B Q, Wang Z C, Jiang G P, Chen L X, Wei M J, Rao L Z
"Mathematical analysis of pool boiling heat transfe", Acta
Physica. Sinica., 2009, Vol.58,No.4, 2523-2527
[1] Sandip Dutta, "Andrew Malcolm J Han Je Chin. Prediction of
turbulent flow and heat transfer in rotating square and rectangular
smooth channels" ASME, 962GT2234.
[2] Cai R X, Zhang D Y, "Some explicit analytical solutions of
unsteady two phase flow", Chinese Journal of Mechanical
Engineering, 2001, Vol.37, No.9, PP. 1-3
[3] Li M, Diao N R, Fang Z H, "Analysis on two-dimensional
steady-state heat conduction in rectangular fins", Journal of
ShangDong University of Architecture and Engineering, 2005
Vol.20,No.1,pp. 64-68
[4] Zhang J Z, Advanced Heat Transfer , Beijing: China Science and
Technology Press, 2009, pp.49-50
[5] Yang Q S, Pu B R, Advanced Heat Transfer , Shanghai: Shanghai
Jiao Tong university Press, 1996, pp.21-22
[6] Xiao B Q, Wang Z C, Jiang G P, Chen L X, Wei M J, Rao L Z
"Mathematical analysis of pool boiling heat transfe", Acta
Physica. Sinica., 2009, Vol.58,No.4, 2523-2527
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:58584", author = "Tao Nie and Weiqiang Liu", title = "Analytical Solutions of Three Dimensional Steady-State Heat Transfer in Rectangular Ribs", abstract = "In order to obtain an accurate result of the heat transfer
of the rib in the internal cooling Rectangular channel, using separation
of variables, analytical solutions of three dimensional steady-state heat
conduction in rectangular ribs are given by solving three dimensional
steady-state function of the rectangular ribs. Therefore, we can get
solution of three dimensional temperature field in the rib. Based on the
solution, we can get how the Bi number affected on heat transfer.
Furthermore, comparisons of the analytical and numerical results
indicate agreement on temperature field in the rib.", keywords = "variable separation method, analytical solution, rib,
heat transfer", volume = "6", number = "8", pages = "1653-4", }