TY - GEN
T1 - Moving sheet with variable thermal conductivity emerging from a slot
AU - Bautista, O.
AU - Bautista, E.
AU - Méndez, F.
PY - 2007
Y1 - 2007
N2 - In this work, we treat the heat transfer process of a continuously moving flat sheet with variable thermal conductiviy, emerging from a slot in contact with a quiescent fluid. Due to the thermal conductivity of the sheet, strong longitudinal and transverse temperature gradients arise within it, requiring to solve simultaneously the energy equation of the sheet and fluid equations. The momentum and energy balance equations are reduced to a non-linear system of partial differential equations with four parameters: the Prandtl number, Pr, a non-dimensional sheet thermal conductance β, a nondimensional parameter identifying the effect of the variable thermal conductivity γ and a suitable Peclet number, Pe. For finite values of the parameter γ we recognize the limits β« 1 and βPe2 « 1 as the most relevant from a practical point of view. In this case, the problem is governed by an universal integro-differential equation in order to obtain the spatial evolution of the sheet temperature as a function of the nondimensional longitudinal coordinate.
AB - In this work, we treat the heat transfer process of a continuously moving flat sheet with variable thermal conductiviy, emerging from a slot in contact with a quiescent fluid. Due to the thermal conductivity of the sheet, strong longitudinal and transverse temperature gradients arise within it, requiring to solve simultaneously the energy equation of the sheet and fluid equations. The momentum and energy balance equations are reduced to a non-linear system of partial differential equations with four parameters: the Prandtl number, Pr, a non-dimensional sheet thermal conductance β, a nondimensional parameter identifying the effect of the variable thermal conductivity γ and a suitable Peclet number, Pe. For finite values of the parameter γ we recognize the limits β« 1 and βPe2 « 1 as the most relevant from a practical point of view. In this case, the problem is governed by an universal integro-differential equation in order to obtain the spatial evolution of the sheet temperature as a function of the nondimensional longitudinal coordinate.
UR - http://www.scopus.com/inward/record.url?scp=43449114486&partnerID=8YFLogxK
U2 - 10.1115/HT2007-32972
DO - 10.1115/HT2007-32972
M3 - Contribución a la conferencia
AN - SCOPUS:43449114486
SN - 0791842746
SN - 9780791842744
T3 - 2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007
SP - 475
EP - 482
BT - 2007 Proceedings of the ASME/JSME Thermal Engineering Summer Heat Transfer Conference - HT 2007
T2 - 2007 ASME/JSME Thermal Engineering Summer Heat Transfer Conference, HT 2007
Y2 - 8 July 2007 through 12 July 2007
ER -