Numerical solution of the inverse heat-conduction problem for determining thermal constants

We investigate the solution of the inverse heat-conduction problem for a cylinder, based on a series expansion of a thermal constant in powers of temperature, and the determination of the series coefficients by a direct-search method.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 33, No. 6, pp. 1058–1061, December, 1977.     

Analytic solution of the unsteady inverse heat-conduction problem

An algorithm is given for an approximate analytic solution of the unsteady inverse heat-conduetion problem for infinite and semi-infinite objects. The solution found in this manner is used to solve a special inverse problem of free diffusion.     

Numerical solution of an inverse heat-conduction boundary problem

We consider a computational algorithm for the solution of an inverse heat-conduction boundary-value problem based on the replacement of one of the boundary conditions by a nonlocal condition. We present examples of our calculations for a one-dimensional model problem.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 51, No. 3, pp. 470–474, September, 1986.     

Method for determining the thermophysical characteristics of orthotropic bodies

The solution for the inverse coefficient problem of heat conduction for an orthotropic body is proposed.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 54, No. 4, pp. 596–600, April, 1988.     

Solution of the two-dimensional inverse heat-conduction problem in a cylindrical coordinate system

The two-dimensional inverse heat-conduction problem is considered. An algorithm of the solution and the results of a trial computation are presented.     

Regularized numerical solution of nonlinear inverse heat-conduction problem

The construction of an algorithm for a numerical solution of the nonlinear inverse problem is discussed for the case of a generalized one-dimensional heat-conduction equation in a region with moving boundaries. The algorithm is regularized in the Tikhonov manner.     

Deriving the thermal contact resistance from the solution of the inverse heat-conduction problem

The construction of an iterative computational algorithm is considered, and results of mathematical modeling of the solution of the coefficient inverse problem of heat conduction by deriving the dependence of the thermal contact resistance on the temperature are given.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 46, No. 4, pp. 677–682, April, 1984.     

An iterative filter for solution of the inverse heat-conduction problem

An iterative modification of the nonlinear Kalman filter is proposed for the determination of time-variable heat-transfer coefficients.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 5, pp. 916–923, November, 1978.     

Determination of boundary thermal regime from the solution of an inverse heat-conduction problem

We consider control schemes for the solution of a one-dimensional inverse heat-conduction problem in a region with moving boundaries. We investigate the computational aspects of the construction of effective algorithms.     

Identification methods of boundary conditions found from the solution of the inverse heat-conduction problem

We investigate the identification methods of equivalent boundary conditions for a system of bodies exchanging heat. A system of equations is presented which has been constructed from the experimental data for the heat exchange in vacuum.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 33, No. 6, pp. 1062–1066, December, 1977.     

Regularization of the solution of the inverse heat-conduction problem in a variational formulation

A version of the solution allowing numerical minimization of the target functional to be eliminated is considered.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 52, No. 6, pp. 991–995, June, 1987.     

Descriptive solution of the inverse heat-conduction problem in the B-spline basis

The article presents a stable algorithm of solving an integral equation of the first kind taking into account the a priori information on the sought solution.     

Algorithms and results of solving the inverse heat-conduction boundary problem in a two-dimensional formulation

The effectiveness of gradient algorithms for solving the inverse problem which are regulated in terms of the number of iterations is investigated.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 4, pp. 658–666, April, 1985.     

Determination of external thermal load parameters by solving the two-dimensional inverse heat-conduction problem

A method is proposed for recovering the space-time behavior of an external unsteady heat load to a cylindrical body by solving the two-dimensional inverse heat-conduction boundary problem.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 41, No. 4, pp. 581–586, October, 1981.     

Determining the thermal conductivity of ceramic materials by solving the inverse heat-conduction problem

A method is propounded for determining the temperature dependence of the thermal conductivity of ceramic materials. It is based on a solution of the inverse heat-conduction problem. An installation is described for carrying out the thermophysical experiment. The temperature dependence of thermal conductivity of a ceramic material has been obtained.Translated from Inzhenerno-fizicheskii Zhurnal, Vol. 61, No. 5, pp. 816–822, November, 1991.     

Numerical solution to a two-dimensional inverse heat conduction problem

The two-dimensional inverse heat conduction problem is solved using the method of dynamic programming. One problem involves determining two unknown heat flux histories imposed on two faces of a slab. Several numerical experiments were performed to ascertain the effects of noise and the weighting parameters.     

Automatic system of identifying thermophysical parameters of objects on the basis of solution of inverse heat-conduction problems

The article examines an automated system of determining the parameters of heat exchange and the thermophysical characteristics of the investigated objects on the basis of the solution of inverse heat-conduction problems (IHCP).     

Solution of a two-dimensional heat-conduction problem for a sector

We consider a problem for the Laplace equation in a circular sector wherein heat exchange takes place on the sides of the sector in accordance with Newton's law and a temperature distribution is specified on the circular arc.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 54, No. 1, pp. 133–139, January, 1988.     

Group properties of the nonlinear heat-conduction equation and the solution of inverse problems

We develop a numerical-experimental method of determining the thermophysical properties of materials in which we use group-invariant solutions of the nonlinear heat-conduction equation. We study the stability of a class of such solutions.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 30, No. 3, pp. 546–553, March, 1976.