【摘要】：利用同倫攝動法求解了平行平板間Powell-Eyring流體的庫埃特流動,得到了近似解,并用切比雪夫譜配置法驗證近似解.在此基礎(chǔ)上,研究了無量綱參數(shù)無量綱壓力梯度Ω和Powell-Eyring流體和牛頓流體的黏度之比Reγ對速度剖面u的影響.結(jié)果表明,同倫攝動法的收斂速度較快,展開到1階解就完全跟數(shù)值解吻合;速度振幅隨Ω增加而減少,隨Reγ增加而增加.
[Abstract]:By using the homotopy perturbation method, the Kuett flow of the Powell-Eyring fluid between parallel plates is solved, and the approximate solution is obtained. The approximate solution is verified by the Chebyshev spectrum collocation method. On this basis, the influence of dimensionless parameter dimensionless pressure gradient 惟 and viscosity ratio Re 緯 of Powell-Eyring fluid to Newtonian fluid on velocity profile u is studied. The results show that the convergence rate of the homotopy perturbation method is faster, and the expansion of the first order solution is completely consistent with the numerical solution, and the velocity amplitude decreases with the increase of 惟 and increases with the increase of Re 緯.
【作者單位】： 內(nèi)蒙古財經(jīng)大學(xué)統(tǒng)計與數(shù)學(xué)學(xué)院;
【基金】：內(nèi)蒙古自治區(qū)自然科學(xué)基金(2015MS0113) 內(nèi)蒙古自治區(qū)高等學(xué)校科學(xué)技術(shù)研究一般項目(NJZY14109)
【分類號】：O35
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本文編號：2279079