Peristalsis of nanofluid through curved channel with Hall and Ohmic heating effects

Abstract

Nanofluids have attracted many scientists due to their remarkable thermophysical properties. Small percentage of nanoparticles when added to conventional fluid significantly enhances the heat transfer features. Sustainability and efficiency of nanomaterials have key role in the advancement of nanotechnology. This article analyzes the Hall, Ohmic heating and velocity slip effects on the peristalsis of nanofluid. Convective boundary conditions and heat generation/absorption are considered to facilitate the heat transfer characteristics. Governing equations for the peristaltic flow through a curved channel are derived in curvilinear coordinates. The equations are numerically solved under the assumption of long wavelength and small Reynold number. It has been observed that nanofluid enhances the heat transfer rate and reduces the fluid temperature. Hartman number and Hall parameter show reverse behavior in fluid motion and heat transfer characteristics. In the presence of velocity slip, the pressure gradient rapidly decreases and dominant effect is seen in narrow portion of channel.

摘要

纳米流体以其优异的热物理性质吸引了许多科学家。在常规流体中加入少量的纳米粒子会显著 地增强传热特性。纳米材料的可持续性和效率对纳米技术的进步具有关键作用。本文分析了霍尔效应、 欧姆热效应和速度滑移对纳米流体蠕动的影响。考虑了对流边界条件和热的产生/吸收, 以促进传热特 性。在曲线坐标下导出了弯曲通道中蠕动的控制方程。在长波长和小雷诺数的假设条件下, 对方程进 行了数值求解。研究表明, 纳米流体提高了传热速率, 降低了流体温度。Hartman 数和Hall 参数在流 体运动和传热特性上表现出相反的行为。在存在速度滑移的情况下, 压力梯度迅速减小, 在通道的狭 小区域表现出主导作用。