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Modellign temperature and concentration polarization phenomena in ultrafiltration of non-newtonian fluids under non-isothermal conditions

机译:非等温条件下非牛顿流体超滤过程中温度和浓度极化现象的建模

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摘要

Model for concentration polarisation (CP) and temperature polarisation (TP) in lutrafiltration process of non-New-tonian fluid has been developed. the model is applicable for plate and frame cannels. The proposed solution is based on the folowing assumptions: (1) flow is to be laminar, incompressible and steady=-state (2) fluid properties are independent of applied pressure and time unde rshear; (3) no slip at the sall; (4) the field of apparent viscosity has non-isotropic configuration, (viz., depends on local shear rate); The paper covers pseudoplastic and dilatant time-independent flow; (5) input approximations for temperature and concentration profile have parabolic configuration. Transport expressions for viscous, tmemperture and diffusion boundary layers are the core of the model. Integrating these equations over the control volume has been carried out. Proposed solutions give correlations between tangential fluxes of mass anh heat and degree polarisation (degree of CP and degree of TP). It permits us to anlalyse the influence of parmaeters of hydrodynamic and concentration field, physical properties geometry of channel and on tangential distribution of TP and Cp edegree. the presented solutoin cna be segmented and built into a complex algorithm of membrane processes. the solution does not contain digital integration. the paper includes developed algorithm, array of calculated dataand graphical visualisations of solutions.
机译:建立了非牛顿流体光滤过程中浓度极化(CP)和温度极化(TP)的模型。该模型适用于板框框架。提出的解决方案基于以下假设:(1)层流,不可压缩且稳定=状态(2)流体特性与施加的压力和不剪切时间无关; (3)不得滑倒; (4)表观粘度场具有非各向同性构型(即,取决于局部剪切速率);本文涵盖假塑性和与时间无关的扩张流; (5)温度和浓度曲线的输入近似值具有抛物线配置。粘性,温度和扩散边界层的输运表达式是模型的核心。已经对控制量进行了积分。拟议的解决方案给出了质量anh热的切向通量与度极化(CP度和TP度)之间的相关性。它使我们能够分析流体动力学和浓度场的参数,通道的物理特性几何以及对TP和Cp e度的切向分布的影响。提出的soltotoin可以被分割并构建成复杂的膜过程算法。该解决方案不包含数字集成。该论文包括开发的算法,计算数据阵列和解决方案的图形可视化。

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