System research of thermal physics boundary problems and the determination of high accuracy temperature fields in a variety of Riemann spaces
2007 (English)In: Journal of Engineering Thermophysics, ISSN 1810-2328, Vol. 16, no 1, 5-18 p.Article in journal (Refereed) Published
An efficient analytical - numerical method is developed for solving thermal conductivity equations o parabolic and hyperbolic types. The method is based on the combined application of the positive properties of integral transforms and the residual orthogonal projection. Depending on the type of the input functions of thermal loads, optimal basis coordinates in the variety of coordinate functions of alternative Riemann spaces are found. Along the axis of the optimal coordinates, temperature fields are determined with a higher accuracy. Such a description solves the problem of a search for a family of isothermal surfaces in a nonstationary temperature field. It was found that the condition of distribution of the internal thermal load when the heat exchange with the outer medium ceases and the self-controlling process of the transfer to the stationary thermal state occurs in the bounded region in the case of adiabatic walls. The solution to the Poisson equation when the resulting force of liquid flow changes along the cross section of the tube provides information on the profiles of the rates of nonisothermal flows. These make it possible to study heat exchange by solving the problems of the Graetz - Nusselt type with a non-Poiseuillian flow under conditions of heating or cooling the liquid.
Place, publisher, year, edition, pages
2007. Vol. 16, no 1, 5-18 p.
Heat exchange, Integral transform, Nonisothermal flow, Numerical solution, Thermal conductivity equation
Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-155659DOI: 10.1134/S181023280701002XScopusID: 2-s2.0-35448960473OAI: oai:DiVA.org:kth-155659DiVA: diva2:764353
QC 20141192014-11-192014-11-072014-11-19Bibliographically approved