It is hard to solve ill-posed problems, as calculated temperatures are very sensitive to errors made while calculating "measured" temperatures or performing real-time measurements. The errors can create temp...It is hard to solve ill-posed problems, as calculated temperatures are very sensitive to errors made while calculating "measured" temperatures or performing real-time measurements. The errors can create temperature oscillation, which can be the cause of an unstable solution. In order to overcome such difficulties, a variety of techniques have been proposed in literature, including regularization, future time steps and smoothing digital filters. In this paper, the Tikhonov regularization is applied to stabilize the solution of the inverse heat conduction problem. The impact on the inverse solution stability and accuracy is demonstrated.展开更多
The aim of this paper is the formulation of the finite element method in polar coordinates to solve transient heat conduction problems. It is hard to find in the literature a formulation of the finite element method(F...The aim of this paper is the formulation of the finite element method in polar coordinates to solve transient heat conduction problems. It is hard to find in the literature a formulation of the finite element method(FEM) in polar or cylindrical coordinates for the solution of heat transfer problems. This document shows how to apply the most often used boundary conditions. The global equation system is solved by the Crank-Nicolson method. The proposed algorithm is verified in three numerical tests. In the first example, the obtained transient temperature distribution is compared with the temperature obtained from the presented analytical solution. In the second numerical example, the variable boundary condition is assumed. In the last numerical example the component with the shape different than cylindrical is used. All examples show that the introduction of the polar coordinate system gives better results than in the Cartesian coordinate system. The finite element method formulation in polar coordinates is valuable since it provides a higher accuracy of the calculations without compacting the mesh in cylindrical or similar to tubular components. The proposed method can be applied for circular elements such as boiler drums, outlet headers, flux tubes. This algorithm can be useful during the solution of inverse problems, which do not allow for high density grid. This method can calculate the temperature distribution in the bodies of different properties in the circumferential and the radial direction. The presented algorithm can be developed for other coordinate systems. The examples demonstrate a good accuracy and stability of the proposed method.展开更多
Sheltered preservation,in which organisms are trapped within shells of cephalopods,is a wellknown phenomenon.This preservational style constitutes an important source of paleontological data.Here,we report the first c...Sheltered preservation,in which organisms are trapped within shells of cephalopods,is a wellknown phenomenon.This preservational style constitutes an important source of paleontological data.Here,we report the first crinoid preserved inside the early Albian ammonite Cleoniceras besairiei Collignon from Madagascar.This crinoid is assigned to the aspidocrinid phyllocrinid(Apsidocrinus,Phyllocrinidae),and constitutes the first phyllocrinid from the African continent,the second from the southern margin of the Tethys(after New Zealand),and also from the southern hemisphere.This specimen represents the youngest occurrence of a phyllocrinid in the world as well,and constitutes one of the youngest occurrences of cyrtocrinids from shallow sea environments,before predation-induced migration of the stalked crinoids to the deep sea refugia due to the so-called Mesozoic Marine Revolution.This finding highlights that ammonite shells may also be a convenient material for studying echinoderms.展开更多
A numerical method for determining a transient fluid temperature is presented.The method is formulated to minimize the total time of heating and cooling operation based on the assumption that maximum tensile and compr...A numerical method for determining a transient fluid temperature is presented.The method is formulated to minimize the total time of heating and cooling operation based on the assumption that maximum tensile and compressive total stresses in a solid can not exceed the allowable value during the entire process.The method can be used for any construction element of a simple or complicated geometry.In this method,material properties of solids can be assumed as constant or temperature dependent.The method will be implemented for the heating operation of an outlet header.This construction element is mounted in supercritical power plants.The outlet header is installed in the 460 MW power unit and it is designed for the working pressure of p_w=26.5 MPa and the steam working temperature of T_w=554℃.The results obtained from the proposed method will be compared with the calculations according to TRD 301-German boiler code.展开更多
文摘It is hard to solve ill-posed problems, as calculated temperatures are very sensitive to errors made while calculating "measured" temperatures or performing real-time measurements. The errors can create temperature oscillation, which can be the cause of an unstable solution. In order to overcome such difficulties, a variety of techniques have been proposed in literature, including regularization, future time steps and smoothing digital filters. In this paper, the Tikhonov regularization is applied to stabilize the solution of the inverse heat conduction problem. The impact on the inverse solution stability and accuracy is demonstrated.
文摘The aim of this paper is the formulation of the finite element method in polar coordinates to solve transient heat conduction problems. It is hard to find in the literature a formulation of the finite element method(FEM) in polar or cylindrical coordinates for the solution of heat transfer problems. This document shows how to apply the most often used boundary conditions. The global equation system is solved by the Crank-Nicolson method. The proposed algorithm is verified in three numerical tests. In the first example, the obtained transient temperature distribution is compared with the temperature obtained from the presented analytical solution. In the second numerical example, the variable boundary condition is assumed. In the last numerical example the component with the shape different than cylindrical is used. All examples show that the introduction of the polar coordinate system gives better results than in the Cartesian coordinate system. The finite element method formulation in polar coordinates is valuable since it provides a higher accuracy of the calculations without compacting the mesh in cylindrical or similar to tubular components. The proposed method can be applied for circular elements such as boiler drums, outlet headers, flux tubes. This algorithm can be useful during the solution of inverse problems, which do not allow for high density grid. This method can calculate the temperature distribution in the bodies of different properties in the circumferential and the radial direction. The presented algorithm can be developed for other coordinate systems. The examples demonstrate a good accuracy and stability of the proposed method.
基金supported by the National Science CentrePoland (www.ncn.gov.pl)-Grant No.2020/39/B/ST10/00006。
文摘Sheltered preservation,in which organisms are trapped within shells of cephalopods,is a wellknown phenomenon.This preservational style constitutes an important source of paleontological data.Here,we report the first crinoid preserved inside the early Albian ammonite Cleoniceras besairiei Collignon from Madagascar.This crinoid is assigned to the aspidocrinid phyllocrinid(Apsidocrinus,Phyllocrinidae),and constitutes the first phyllocrinid from the African continent,the second from the southern margin of the Tethys(after New Zealand),and also from the southern hemisphere.This specimen represents the youngest occurrence of a phyllocrinid in the world as well,and constitutes one of the youngest occurrences of cyrtocrinids from shallow sea environments,before predation-induced migration of the stalked crinoids to the deep sea refugia due to the so-called Mesozoic Marine Revolution.This finding highlights that ammonite shells may also be a convenient material for studying echinoderms.
文摘A numerical method for determining a transient fluid temperature is presented.The method is formulated to minimize the total time of heating and cooling operation based on the assumption that maximum tensile and compressive total stresses in a solid can not exceed the allowable value during the entire process.The method can be used for any construction element of a simple or complicated geometry.In this method,material properties of solids can be assumed as constant or temperature dependent.The method will be implemented for the heating operation of an outlet header.This construction element is mounted in supercritical power plants.The outlet header is installed in the 460 MW power unit and it is designed for the working pressure of p_w=26.5 MPa and the steam working temperature of T_w=554℃.The results obtained from the proposed method will be compared with the calculations according to TRD 301-German boiler code.
