Surface variance estimates using an adjoint formulation for a one-dimensional nonlinear inverse heat conduction technique

Journal Article · Wed Jan 01 00:00:00 EST 1986 · Numer. Heat Transfer; (United States)

DOI:https://doi.org/10.1080/10407798608552517· OSTI ID:6650708

Hills, R; Raynaud, M; Hensel, E

The one-dimensional nonlinear inverse heat conduction problem is considered. A new technique for estimating the surface variances of the predicted surface fluxes and temperatures based on an adjoint formulation is presented. The surface variances are related to the measurement variances and to an estimate of the initial condition variances. The only assumption necessary to apply the technique is that of additive measurement errors. Two test cases with three sets of boundary conditions are studied. The surface variance estimates given by the adjoint formulation and direct estimation are shown to be in good agreement.

• Research Organization: Dept. of Mechanical Engineering, New Mexico State Univ., Las Cruces, NM 88003
• OSTI ID: 6650708
• Journal Information: Numer. Heat Transfer; (United States), Vol. 10:5
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
SURFACES
THERMAL CONDUCTIVITY
BOUNDARY CONDITIONS
CALCULATION METHODS
ERRORS
HEAT FLUX
HEAT TRANSFER
MEASURING METHODS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
SURFACE PROPERTIES
TEMPERATURE MEASUREMENT
VARIATIONS
ENERGY TRANSFER
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
420400* - Engineering- Heat Transfer & Fluid Flow