共查询到7条相似文献,搜索用时 0 毫秒
1.
袁镒吾 《应用数学和力学(英文版)》1992,(7)
1.Fo’·mulation of the Problem 。VVlllll山lit山llollp〔)1111匕川11h)11V111()fily山clfl!ICUOI仆O门I工ch11川p川jllilTldco\\℃\cCk h。\川VC山c cqu川11)11s()1山) Idl川pIS fills比S心phllul卜ti川*pt!ttlljll 11OW. !山C卜(小11 Ic(】l川111比八八1111,山11qtJZtllOOS()1山e心)川》u口111lildy philuI 卜11i川d卜ILllll川*】V illC‘ (J;。,口‘I,I【.、o(v丫)。4;1, 刃’I 于十N宁十叫 讣一 i)“二二二二+TX+…一1)。二W卜0(l) 山 *厂 厂坯(V 川J 口01 o川,oil。、,。。;I :一+刊十(叫十丁‘)十一上二一卜O(I… 相似文献
2.
THE NUMERICAL SOLUTION OF THE UNSTEADY NATURAL CONVECTION FLOW IN A SQUARE CAVITY AT HIGH RAYLEIGH NUMBER USING SADI METHOD 总被引:1,自引:0,他引:1
The unsteady natural convection flow in a square cavity at high Rayleigh numberRa=10~7 and 2×10~7 has been computed using cubic spline integration.The requiredsolutions to the two dimensional Navier-Stokes and energy equations have been obtainedusing two alternate numerical formulations on non-uniform grids.The main features of thetransient flow have been briefly discussed.The results obtained by using the present methodare in good agreement.with the theoretical predictions.The steady state results havebeen compared with accurate solutions presented recently for Ra=10~7. 相似文献
3.
In this paper we consider the singularly perturbed boundary value problem for thefourth-order elliptic differential equation,establish the energy estimates of the solutionandits derivatives and construct the formal asymptotic solution by Lyuternik-Vishik’s method.Finally,by means of the energy estimates we obtain the bound of the remainder of theasymptotic solution. 相似文献
4.
袁镒吾 《应用数学和力学(英文版)》1988,(8)
In this paper, we study the approximate solution of the self-simikar problem for radial flow of non-Newtonian fluids through porous media. Assuming that the fluids obey the exponential function law, we obtain an exact solution for the exponent n=0 and compare it with the approximate solution in ref.[1]. For n>1 and n<1, we obtain respectively approximate solutions. Some exampls are presented. 相似文献
5.
THEASYMPTOTICEXPRESSIONOFTHESOLUTIONOFTHECAUCHY’SPROBLEMFORAHIGHERORDERLINEARORDINARYDIFFERENTIALEQUATIONWHENTHELIMITEQUATION... 相似文献
6.
袁镒吾 《应用数学和力学(英文版)》1988,(1)
In ref. [1], Lin obtained an approximate analytical solution of the ideal potential flow around a circular cylinder between two parallel flat flates. In this paper, the author shows that one may obtain the result coinciding with that obtained in ref. [1] by making use of the Shvez's method. Morever, we can obtain a more accurate result than that obtained in ref. [1], if we make use of the improved Shvez's method. Some calculating examples are presented. 相似文献
7.
林宗池 《应用数学和力学(英文版)》1982,(1)
In this paper basing on (1) and (2),we study thesingular perturbation of general boundary value problemfor higher order elliptic equation with perturbationboth in the boundary and in the operator,so as to es-tablish the asymptotic expression involving two para-meters.Thus,the iterative process of finding theasymptotic solution is derived and the estimation ofthe remainder term is given out,we extend and improvethe previously published papers. 相似文献