TY - JOUR
T1 - Analysis of the transpiration cooling of a thin porous plate in a hot laminar convective flow
AU - Treviño, C.
AU - Medina, A.
N1 - Funding Information:
Acknowledgments. - This work has been supported C. T. also acknowledges the support by CONACyT,
PY - 1999
Y1 - 1999
N2 - This paper deals with the asymptotic and numerical analysis for the steady-state transpiration cooling of a thin porous flat plate in a laminar hot convective flow, taking into account the streamwise heat conduction through the plate. For high conductivity plates, a regular perturbation analysis has been carried out, yielding a three-term asymptotic solution for the distribution of plate temperature. In the limit of a very poorly conducting plate, a singular perturbation technique, based on matched asymptotic expansions, is employed to solve the governing equations. We also solved the equations numerically using a quasilinearization technique. The numerical results are in good agreement with the asymptotic solution close to the asymptotic limits studied.
AB - This paper deals with the asymptotic and numerical analysis for the steady-state transpiration cooling of a thin porous flat plate in a laminar hot convective flow, taking into account the streamwise heat conduction through the plate. For high conductivity plates, a regular perturbation analysis has been carried out, yielding a three-term asymptotic solution for the distribution of plate temperature. In the limit of a very poorly conducting plate, a singular perturbation technique, based on matched asymptotic expansions, is employed to solve the governing equations. We also solved the equations numerically using a quasilinearization technique. The numerical results are in good agreement with the asymptotic solution close to the asymptotic limits studied.
UR - http://www.scopus.com/inward/record.url?scp=0033097442&partnerID=8YFLogxK
U2 - 10.1016/S0997-7546(99)80025-9
DO - 10.1016/S0997-7546(99)80025-9
M3 - Artículo
SN - 0997-7546
VL - 18
SP - 245
EP - 260
JO - European Journal of Mechanics, B/Fluids
JF - European Journal of Mechanics, B/Fluids
IS - 2
ER -