Abstract Joule heating effects on electromagnetohydrodynamic flow through a peristaltically induced micro-channel with different zeta potential and wall slip
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Joule heating effects on electromagnetohydrodynamic flow through a peristaltically induced micro-channel with different zeta potential and wall slip

机译:通过具有不同Zeta电位和壁滑的微通道通过蠕动诱导的微通道对电磁流体动力学流动的焦耳热效应

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Abstract This paper aims to develop a mathematical model for magnetohydrodynamic flow of biofluids through a hydrophobic micro-channel with periodically contracting and expanding walls under the influence of an axially applied electric field. The velocity slip effects have been taken into account at the channel walls by employing different slip lengths due to hydrophobic gating. Different temperature jump factors have also been used to investigate the thermomechanical interactions at the fluid–solid interface. The electromagnetohydrodynamic flow in a microchannel is simplified under the framework of Debye–Hückel linearization approximation. We have derived the closed-form solutions for the linearized dimensionless boundary value problem under the assumptions of long wave length and low Reynolds number. The axial velocity, temperature, pressure distribution, stream function, wall shear stress and the Nusselt number have been appraised for diverse values of the parameters approaching into the problem. Our main focus is to determine the effects of different zeta potential on the axial velocity and temperature distribution under electromagnetic environment. This study puts forward an important observation that the different zeta potential plays an important role in controlling fluid velocity. The study further reveals that the temperature increases significantly with the Joule heating parameter and the Brinkman number (arises due to the dissipation of energy).
机译:<![cdata [ 抽象 本文旨在通过疏水性微通道,通过疏水性微通道开发生物流体流动流动流动的数学模型,其在一个周期性地收缩和扩展墙体轴向应用的电场。通过采用由于疏水门控而采用不同的滑动长度,在通道壁上考虑了速度滑移效果。还用于研究流体固体界面处的热机械相互作用的不同温度跳跃因子。在Debye-Hückel线性化近似的框架下简化了微通道中的电磁流体动力学。在长波长和低雷诺数的假设下,我们为线性化无量纲边值问题衍生出闭合的解决方案。轴向速度,温度,压力分布,流函数,墙面剪切应力和营养数已被评估用于接近问题的参数的不同价值。我们的主要重点是确定不同Zeta电位对电磁环境下轴向速度和温度分布的影响。本研究提出了一个重要的观察,即不同的Zeta潜力在控制流体速度方面发挥着重要作用。该研究进一步揭示了焦耳加热参数和Brinkman号码的温度显着增加(由于能量耗散而产生)。

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