Identification of velocity distribution in a turbulent flow inside parallel-plate ducts from wall temperature measurements

References

• Moutsoglou , A . 1989 . An inverse convection problem . Journal of Heat Transfer , 111 : 37 – 43 .
   Google Scholar
• Beck JV Blackwell B St Clair CR 1985 Inverse Heat Conduction: Ill-posed Problems, John Wiley & Sons New York
   Google Scholar
• Prud’homme , M and Nguyen , TH . 1997 . Whole time-domain approach to the inverse natural convection problem . Numerical Heat Transfer, Part A , 32 : 169 – 186 .
   Web of Science ®Google Scholar
• Park , HM and Chung , OY . 1999 . Inverse natural convection problem of estimating wall heat flux using a moving sensor . Journal of Heat Transfer , 121 : 828 – 836 .
   Web of Science ®Google Scholar
• Park , HM and Chung , OY . 2000 . Inverse natural convection problem of estimating wall heat flux . Chemical Engineering Science , 55 : 2131 – 2141 .
   Google Scholar
• Prud'homme , M and Nguyen , TH . 2001 . Solution of inverse free convection problems by conjugate gradient method: effects of Rayleigh number . International Journal of Heat and Mass Transfer , 44 : 2011 – 2027 .
   Web of Science ®Google Scholar
• Park , HM and Jung , WS . 2001 . The Karhunen-Loève Galerkin method for the inverse natural convection problems . International Journal of Heat and Mass Transfer , 44 : 155 – 167 .
   Web of Science ®Google Scholar
• Park , HM and Chung , JS . 2002 . A sequential method of solving inverse natural convection problems . Inverse Problems , 18 : 529 – 546 .
   Google Scholar
• Huang , CH and Özisik , MN . 1992 . Inverse problem of determining unknown wall heat flux in laminar flow through a parallel plate duct . Numerical Heat Transfer, Part A , 21 : 55 – 70 .
   Web of Science ®Google Scholar
• Bokar , JC and Özisik , MN . 1995 . An inverse analysis for estimating the time-varying inlet temperature in laminar flow inside a parallel plate duct . International Journal of Heat and Mass Transfer , 38 ( 1 ) : 39 – 45 .
   Web of Science ®Google Scholar
• Liu , FB and Özisik , MN . 1996 . Estimation of inlet temperature profile in laminar duct flow . Inverse Problems in Engineering , 3 : 131 – 143 .
   Google Scholar
• Machado , HA and Orlande , HRB . 1997 . Inverse analysis for estimating the timewise and spacewise variation of the wall heat flux in a parallel plate channel . International Journal for Numerical Methods for Heat and Fluid Flow , 7 ( 7 ) : 696 – 710 .
   Google Scholar
• Machado , HA and Orlande , HRB . 1998 . Inverse problem for estimating the heat flux to a non-Newtonian fluid in a parallel plate channel . Journal of the Brazilian Society of Mechanical Sciences , 20 ( 1 ) : 51 – 61 .
   Google Scholar
• Alifanov OM 1994 Inverse Heat Transfer Problems, Springer-Verlag New York
   Google Scholar
• Ben Abdallah , P , Sadat , H and Le Dez , V . 2000 . Résolution d'un problème inverse de convection-diffusion par une méthode de perturbation singulière . International Journal of Thermal Sciences , 39 : 742 – 752 .
   Google Scholar
• Hsu , PT , Chen , CK and Yang , YT . 1998 . A 2-D inverse method for simultaneous estimation of the inlet temperature and wall heat flux in a laminar circular duct flow . Numerical Heat Transfer, Part A , 34 : 731 – 745 .
   Web of Science ®Google Scholar
• Huang , CH and Chen , WC . 2000 . A three-dimensional inverse forced convection problem in estimating surface heat flux by conjugate gradient method . International Journal of Heat and Mass Transfer , 43 : 3171 – 3181 .
   Web of Science ®Google Scholar
• Liu , FB and Özisik , MN . 1996 . Inverse analysis of transient turbulent forced convection inside parallel-plate ducts . International Journal of Heat and Mass Transfer , 39 ( 12 ) : 2615 – 2618 .
   Web of Science ®Google Scholar
• Girault M Petit D Videcoq E 2002 Inverse problem of turbulent forced convection inside parallel-plate ducts using a reduced model 12th International Heat Transfer Conference August 18–23 Grenoble France
   Google Scholar
• Su , J , Lopes , AB and Silva Neto , AJ . 2000 . Estimation of unknown wall heat flux in turbulent circular pipe flow . International Communications in Heat and Mass Transfer , 27 ( 7 ) : 945 – 954 .
   Google Scholar
• Gejadze I. I Jarny Y 2001 A method of temperature restoration in polymer melt flow through narrow channel Proc. Eurotherm Seminar No. 68: Inverse Problems and Experimantal Design in Thermal and Mechanical Engineering March 5–7 pp. 247–254 Poitiers France
   Google Scholar
• Park , HM and Lee , JH . 1998 . A method of solving inverse convection problems by means of mode reduction . Chemical Engineering Science , 53 ( 9 ) : 1731 – 1744 .
   Web of Science ®Google Scholar
• Mao , Z and Hanratty , TJ . 1991 . Analysis of wall shear stress probes in large amplitude unsteady flows . International Journal of Heat and Mass Transfer , 34 ( 1 ) : 281 – 290 .
   Google Scholar
• Mao , Z and Hanratty , TJ . 1991 . Application of an inverse mass transfer method to the measurement of turbulent fluctuations in the velocity gradient at the wall . Experiments in Fluids , 11 : 65 – 73 .
   Google Scholar
• Fulcheri , L and Pacher , F . 1992 . Débitmètre thermique non intrusif . Revue Générale de Thermique , 31 ( 365 ) : 311 – 320 .
   Google Scholar
• Kays WM Crawford ME 1993 Convective Heat and Mass Transfer 3rd Edn. McGraw-Hill Singapore
   Google Scholar
• Kim WS Özisik MN 1989 Turbulent forced convection inside a parallel-plate channel with periodic variation of inlet temperature Journal of Heat Transfer 111 882 888 Trans ASME
   Web of Science ®Google Scholar
• Jischa , M and Rieke , HB . 1979 . About the prediction of turbulent Prandtl and Schmidt numbers from modeled transport equations . International Journal of Heat and Mass Transfer , 22 : 1547 – 1555 .
   Web of Science ®Google Scholar
• Gill PE Murray W Wright MH 1981 Practical Optimization, Academic Press New York
   Google Scholar