The large conductive paths and heat capacities of temperature probe supports in internal mixers induce inaccuracies in temperature measurement. If the axial temperature profile along a support is recorded, a measurement correction accounting for the thermal behaviour of the support is possible. This paper contains experimental verification of two recently reported inverse methods to improve performance. Laboratory measurements confirm that both methods work well, provided that the film heat transfer coefficient does not exceed 500W.m−2. K−1. In industrial trials, the methods show that it is possible to reduce the error of temperature measurement by up to 18 per cent of the range of temperature over the mixing process of rubber compounds. Following the two sets of trials described in this paper, a procedure is proposed for selecting the most appropriate algorithm.
TierneyM. J.BrettP. N.BanimR. S.HindsM.Computational scheme to augment measurement of temperature in internal mixers using multisensorprobes. Plastics, Rubberand Composites Processing and Applications, 1997, 26 (5), 199–204.
2.
BrettP. N.MooreJ. M.Multi-thermocouple probes for temperature prediction in the process industries. Proc. Instn Mech. Engrs, Part E: J. Process Mechanical Engineering, 1991, 205 (2), 75–81.
KhanM. A.AllemandC.EagerT. W.Non-contact temperature measurement. II. Least squares based techniques. Rev. Sci. Instrum., 1991, 62 (2), 403–409.
5.
HenselE.Inverse theory and applications for engineers, 1991 (Prentice Hall, New Jersey).
6.
Ching-ChinaJ.Pan-ChioT.Horng-YungT.A recursive least-squares algorithm for on-line 1-D inverse heat conduction estimation. Int. J. Heat Mass Transfer, 1997, 40 (9), 2081–2096.
7.
VogelJ.SaraL.KrejciL.A simple inverse heat conduction method with optimization. Int. J. Heat Mass Transfer, 1993, 36 (17), 4215–4220.
8.
BanimR. S.TierneyM. J.BrettP. N.The estimation of fluid temperatures through an inverse heat conduction technique. Numerical Heat Transfer, Part A, 2000, 37 (5), 465–476.
9.
BanimR. S.TierneyM. J.BrettP. N.A non-linear indirect measurement problem for a multi-thermocouple probe immersed in a liquid. Numerical Heat Transfer, Part A, Applications, 2001, 40 (1), 103–116.
10.
BanimR. S.Improved temperature sensors for the process industry, Ph.D. Thesis, University of Bristol, UK, 1998.
11.
BayoE.MoulinH.CrisalleO.GiminezG.Well conditioned numerical approach for the solution of the inverse heat conduction problem. Numerical Heat Transfer, 1992, 21 (2), 79–98.
12.
TiknonovA. N.ArseninV. Y. (eds). Solutions of illposed problems, 1977 (Winston, Washington, DC).
13.
AlifanovO. M.Solution of an inverse problem of heat conduction by iterative methods. J. Eng. Physics, 1975, 26 (4), 682–689.
14.
MurioD. A.The mollification problem and the solution of the inverse heat conduction problem by finite difference. Comput. Math. Appl., 1989, 17 (10), 1389–1396.
15.
HenselE.HillsR. G.An initial value approach to the inverse heat conduction problem. ASME J. Heat Transfer, 1986, 108 (2), 248–256.
16.
BeckJ. V.Surface heat flux determination using an integral method. Nucl. Eng. Des., 1968, 7, 170–178.
17.
AlifanovO. M.RuntansevS. V.One method of solving incorrectly stated problems. J. Eng. Phy., 1978, 34 (2), 223–226.
18.
OsmanA. M.DowlingJ.BeckJ. V.Numerical solution of the general two-dimensional inverse heat conduction problem. ASME J. Heat Transfer, 1997, 119 (1), 38–45.
19.
EinhornS. C.TuretzkyS. B.Rheological properties of SBR polymers by capillary extrusion. J. Appl. Polym, Sci., 1963, 8, 1257–1265.
20.
FuntJ. M.Mixing of rubbers, 1997 (RAPRA Publications, Shawbury, UK).
21.
FreakleyP. K.PatelS. R.Internal mixing: A practical investigation of the flow and temperature profiles during a mixing cycle. Rubber Chem. Technol., 1985, 58 (3), 751–773.
22.
GhoshU. K.UpadhyayS. N.ChhabraR. P.Heat and mass transfer from immersed bodies to non-Newtonian fluids, 1994 (Academic Press, London).
23.
ShahM.PetersenE. E.AcrivosA.Heat transfer from a cylinder to a power-law non-Newtonian fluid. A. I. Chem. E. J., 1962, 8, 542–551.
24.
BurmeisterL. C.Convective Heat Transfer, 1983 (John Wiley and Sons, New York).
25.
BanimR. S.TierneyM. J.BrettP. N.QuariniG. L.CFD modelling of convective heat transfer around a probe in a mixer. I.Chem. E Symposium Series no. 140, 1996, 140, 143–153.
26.
TansleyD. S.W.HayballC. C.KBS analysis and design. A KADS Developer's Handbook, 1993 (Prentice Hall, New Jersey).
27.
BanimR. STierneyM. J.BrettP. N.Comparison of two space marching solutions to the inverse heat conduction problem for a temperature probe application, Proceedings of the 6th Australasian Heat and Mass Transfer Conference, Sydney, 1996, 135–141.
28.
CarnahanB.LutherH.WildesJ. O.Applied Numerical Methods, 1969 (John Wiley and Sons, New York).
29.
BeckJ. V.BlackwellSt. ClairC. R.Jr.Inverse Heat Conduction Problems, 1985 (John Wiley and Sons, New York).
