本文關(guān)鍵詞： 環(huán)管 圓管 電滲流 Debye-Hückel近似 同倫法 Poisson-Boltzmann方程　出處：《廣西大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：本論文主要是通過尋找解析解并結(jié)合一定的數(shù)值模擬來探討微流體在電滲(Electro-osmosis,簡(jiǎn)稱EO)效應(yīng)下的流動(dòng)行為,并探討在環(huán)形和圓形微流道內(nèi)流體的各項(xiàng)物理性質(zhì),所使用的物理模型包括Poisson-Boltzmann equation(P-B方程)、Navier-Stokes equation(N-S 方程)和 Debye-Huckel Approximation(D-H 近似)等方程組。本論文將基于P-B方程和D-H近似來探討環(huán)形和圓形微流道中的定常態(tài)電滲流動(dòng)和非定常起始流動(dòng)。本文首先基于線性D-H近似求解得到EO流動(dòng)的解析解,然后通過同倫法(Method of Homotopy)將結(jié)果推廣至非線性P-B方程。環(huán)管內(nèi)外壁面可能會(huì)有不同的Zeta電勢(shì)(分別標(biāo)記為α,β),本文將研究內(nèi)外壁面電勢(shì)(α,β)、內(nèi)外半徑比6、動(dòng)電寬度K以及P-B方程非線性衡量指標(biāo)λ等因素對(duì)環(huán)管EO流動(dòng)的影響。對(duì)任意給出的內(nèi)外壁面電勢(shì)(α,β),本文為得到定常態(tài)EO最大流量而對(duì)內(nèi)外半徑比b進(jìn)行了最優(yōu)化,并給出了其所對(duì)應(yīng)的EO起始流動(dòng)隨時(shí)間變化的詳細(xì)研究。本文還給出了不同K值時(shí),最優(yōu)化EO流量QM(α,β)與所對(duì)應(yīng)的6(標(biāo)記為bmax)在α-β平面上的變化趨勢(shì),這可作為實(shí)際應(yīng)用做出有用的指導(dǎo)。本文還研究了不同λ值時(shí),bmax和QM(a,β)的變化。本文分別研究了 Zeta電位在圓管壁面徑向均勻分布和不均勻分布時(shí)的EO流動(dòng),并討論了不同的K、λ值對(duì)定常態(tài)和非定常態(tài)EO流動(dòng)的影響。對(duì)Zeta電勢(shì)均勻分布的情形,本文給出了不同的K、λ值時(shí)EO流量隨時(shí)間的變化,并給出了其所對(duì)應(yīng)的EO起始流動(dòng)在管道中的隨時(shí)間變化的速度分布。本文通過一個(gè)Zeta電勢(shì)在管道內(nèi)存在一個(gè)周期性細(xì)微擾動(dòng)的例子,研究了 Zeta電勢(shì)不均勻分布時(shí)不同K、λ值的EO流動(dòng)定常態(tài)速度在管道中的分布,及其所對(duì)應(yīng)的非定常態(tài)起始流動(dòng)速度和流量隨時(shí)間的變化。
[Abstract]:In this paper, the flow behavior of micro-fluid under electroosmotic electroosmosisis (EO) effect is studied by searching for analytical solution and combining with certain numerical simulation. The physical properties of the fluid in circular and circular microchannels are discussed. The physical models used include the Poisson-Boltzmann equation(P-B equation. Navier-Stokes equation(N-S equation and Debye-Huckel Approximation(D-H approximation. In this paper, the stationary electroosmotic flow and unsteady initial flow in annular and circular microchannels are discussed based on P-B equation and D-H approximation. In this paper, EO is obtained based on linear D-H approximation. The analytical solution of the flow. Then the method of homotopy method is used to generalize the results to the nonlinear P-B equation. There may be different Zeta potentials (marked 偽) on the inner and outer walls of the ring tube. In this paper, the internal and external wall potential (偽, 尾) is studied, and the ratio of inner and outer radius is 6. The influence of the dynamic width K and the nonlinear measure index 位 of P-B equation on the EO flow in the annular tube, and on the internal and external wall potential (偽, 尾) given arbitrarily. In this paper, the internal and external radius ratio b is optimized to obtain the maximum flow rate of fixed normal EO, and the corresponding initial flow of EO is studied in detail with time. The different K values are also given in this paper. The change trend of optimized EO flow QM (偽, 尾) and corresponding 6 (marked bmax) on 偽-尾 plane can be used as useful guidance for practical application. Different 位 values are also studied in this paper. The change of bmax and QMMA, 尾. In this paper, the EO flow of Zeta potential on the wall of circular tube is studied, and the different K is discussed. The influence of 位 value on the steady and unsteady EO flow. For the case of uniform distribution of Zeta potential, the variation of EO flux with time at different K, 位 values is given in this paper. The time-varying velocity distribution of the corresponding initial EO flow in the pipeline is given. An example of the existence of a periodic slight disturbance in the pipe with Zeta potential is given. The distribution of constant normal velocity of EO flow with different K and 位 values in the pipeline and the variation of the initial flow velocity and flow rate of unsteady state with time are studied when the Zeta potential is not uniform.
【學(xué)位授予單位】：廣西大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：X53;TQ028.74

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