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MHD Boundary Layer Flow of a Non-Newtonian Fluid on a Moving Surface with a Power-Law Velocity
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A theoretical analysis for MHD boundary layer flow on a moving surface with the power-law velocity is presented. An accurate expression of the skin friction coefficient is derived. The analytical approximate solution is obtained by means of Adomian decomposition methods. The reliability and efficiency of the approximate solutions are verified by numerical ones in the literature. 相似文献
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1IntroductionandMainResultsThesingularnonlineartwthpointboundaryproblemllasbeenstudiedbyCallegariandFriedll1an[2]forp=1alldbyNacl1lliallalldCallegari[:]forp>1-Theydemonstratedtl1eexistellce,uniq11elless,al1da11alyticityofthepositivesolutiontotheproblem.Recently,Soewono,Vajravelu,andMol1apatra[']havecollsideredthesingulaxnonlineartwo-poiutboundaryvalueproble1llwllereCisagivenrealnulltherandh(x)isass1llnedtobeacolltinuousandincreasingfullctiondefinedon[-k, oo)satisfyingforsomepositivec0l1sta… 相似文献
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针对非牛顿幂律流体在无限大旋转圆盘上层流边界层内三维流动与传热问题,在普朗特数为常数的条件下,利用广义Karman相似变换,将连续方程、动量方程及能量方程形成的偏微分方程组化成常微分方程组,再采用多重打靶法数值求解非线性两点边值问题.分别针对剪薄型流体、牛顿流体和剪厚型流体,得到不同幂律指标下的速度和温度分布及不同普朗特数下温度场的结果.结果表明径向速度分量的峰值随幂律指标的增大而增大,轴向速度受边界层厚度的影响较突出,盘表面的传热随幂律指标和普朗特数都呈现递增趋势.最后将本文流场结果与Andersson等在不考虑传热情况下的结果进行比较表明吻合性较好. 相似文献
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The magnetohydrodynamic (MHD) Falkner-Skan boundary layer flow over a permeable wall in the presence of a transverse magnetic
field is examined. The approximate solutions and skin friction coefficients of the MHD boundary layer flow are obtained by
using a method that couples the differential transform method (DTM) with the Padé approximation called DTM-Padé. The approximate
solutions are expressed in the form of a power series that can be easily computed with an iterative procedure. The approximate
solutions are tabulated, plotted for the values of different parameters and compared with the numerical ones obtained by employing
the shooting technique. It is found that the approximate solution agrees very well with the numerical solution, showing the
reliability and validity of the present work. Moreover, the effects of various physical parameters on the boundary layer flow
are presented graphically and discussed. 相似文献
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研究了SSFW污水处理数学模型.使用Adomian拆分法在两种边界条件下求解了SSFW污水处理数学模型添加源项后的模型.分别给出了算例,并对计算得到的近似解和精确解进行了比较,从而验证了Adomian拆分法求解的正确性. 相似文献
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This paper presents a theoretical analysis for laminar boundary layer flow in a power law non-Newtonian fluids.The Adomian analytical decomposition technique is presented and an approximate analytical solution is obtained.The approximate analytical solution can be expressed in terms of a rapid convergent power series with easily computable terms.Reliability and efficiency of the approximate solution are verified by comparing with numerical solutions in the literature.Moreover,the approximate solution can be successfully applied to provide values for the skin friction coefficient of the laminar boundary layer flow in power law non-Newtonian fluids. 相似文献
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研究了一类非线性特征值问题,利用非线性二择一不动点定理得到了问题正解存在性的两个充分条件。 相似文献