BLOW-UP SOLUTIONS OF THE TWO-DIMENSIONAL HEAT EQUATION DUE TO A LOCALIZED MOVING SOURCE 来自 World Scientific 喜欢 0 阅读量: 36 作者:CM Kirk,WE Olmstead 摘要: The problem examined is that of a localized energy source which undergoes planar motion along the surface of a reactive-diffusive ...
Based on the solution of the first initial-boundary value problem for an inhomogeneous two-dimensional heat equation, we state and study inverse problems, whose right-hand sides contain unknown factors depending on spatial and time variables. Preliminarily, we explicitly construct a solution to the ...
We consider a two-dimensional sideways heat equation on R+2, which is known to be an ill-posed problem. We propose a regularization approach by means of the orthogonal MRA generating the Meyer wavelet. The main reason for this is the fact that the Fourier transform of Meyer wavelet is know...
In this study, an alternative method is presented for the solution of two-dimensional heat equation in a square region. In this method, the solution function of the problem is based on the Green function, and therefore on elliptic functions. The numerical results have been computed for an appl...
heat exchange between the phases, W T i : temperature of the phase, K \(\overrightarrow{v_{i}}\) : velocity of the phase, m/s \(\overrightarrow{v_{ij}}\) : interphase velocity, m/s cond: condensation ev: evaporation l: liquid phase mix: mixture sat: saturation ...
how to work out the elimination and substitution equation problems homework worksheets for 9th grade online calculator to rearrange formula grade 10 algebria free patterning worksheet for grade 5 what is the difference between a two-dimensional and three-dimensional game? list algebra formulas...
2.1. Fluid flow and heat transfer model A schematic of the one-dimensional numerical model for predicting temperature and pressure profiles in single-phase and two-phase flow systems is shown in Fig. 1. For this model, hot fluid with a temperature equal to the rock temperature at depth of ...
free grade five story problems online calculator with square root printable math reference pre-algebra third grade geometry problems free maths drawing graphs powerpoints explanation of hyperbola equation easy three dimensional free worksheets math jokes with pizzazz free worksheets ratios works...
And so on. Up to now, these questions have no clear or precise answers for any meaningful turbulence problems. The aim of this paper is to make small steps in this direction. We will study the class of models that describe two-dimensional and quasi-geostrophic dynamics. These are arguably ...
Four different types of breaking wave impacts on a vertical wall are simulated using a two-dimensional two-phase Computational Fluid Dynamic (CFD) model. Air is considered as an isentropic ideal gas without solving an additional energy equation and water is treated as an incompressible liquid. The...