The Burgers' equation is considered as a simple nonlinear model equation in which to investigate energy transfer in the wavenumber domain. Spatially stationary (on the real line) random solutions are considered. The first‐order nonlinear term for large time relating the spectrum and bispectrum (Four...
The Energy EquationNature Biotechnology journal featuring biotechnology articles and science research papers of commercial interest in pharmaceutical, medical, and environmental sciences.doi:10.1038/nbt1088-1139bCampanarioMiltonBio\\/Technology
aThe differential form of the energy equation can be written as shown in equation (12), where j is the diffusion flux of species j, and is neglected in the proposed analysis. The first three terms on the right-hand side of equation (12) represent energy transfer due to conduction, species...
While the dose deposition of charged hadrons has received much attention over the last decades starting in 1930 with the publication of the Bethe equation, there are still practical obstacles in implementing it in fields like radiotherapy and isotope production on cyclotrons. This is especially true...
A second-order differential equation is derived for the electric potential of an electron system with slowly varying density. It includes consistently the first-gradient corrections to both the kinetic energy and the exchange energy. In the regime of high density, the equation reduces to the one ...
for the radiative transfer equation (RTE) commonly used when describing light propagation in biological tissues is derived directly from the equation of energy conservation of Maxwell's equations (Poynting's theorem) by making use of a volume-averaged expression for the time-averaged flow of energy...
基本概念 实现条件意义和作用作用评价指标过程量的特征 功和热量 可逆过程功量和热量的计算 热力系统 求解的问题 工程热力学分析方法 循环 过程 限制条件质量交换方向性能量交换 Chapter2 TheFirstLawofThermodynamics MainContents 2-1.Theexpressionofthefirstlaw2-2.Totalenergyandinternalenergy2-3.Thefirstlawfor...
“heatofasystem,”youcanrefertoheatonlywhenenergyhasbeentransferredasaresultofatemperaturedifference. Section20.1 UnitsofHeat Historically,thecaloriewastheunitusedforheat. Onecalorieistheamountofenergytransfernecessarytoraisethetemperatureof1gofwaterfrom14.5oCto15.5oC. The“Calorie”usedforfoodisactually1...
Moreover, the impact of the Joule heating and viscous dissipation are also discussed using the energy equation. The mathematical modeling is simulated with the help of similarity variables. The resulting equations are solved using the Keller–Box method with a combination of finite difference schemes...
& Rao, B. On the solution of the energy equation for large Prandtl numbers in a second-order fluid flow over a stretching sheet. Z. angew. Math. Phys. 48, 987–993 (1997). https://doi.org/10.1007/s000330050076 Download citation Issue DateNovember 1997 DOIhttps://doi.org/10.1007/s...