Purpose

The particle distribution in a fluid is mostly not homogeneous. The inhomogeneous dispersion of solid particles affects the velocity profile as well as the heat transfer of fluid. This study aims to highlight the effects of varying density of particles in a fluid. The fluid flows through a wavy curved passage under an applied magnetic field. Heat transfer is discussed with variable thermal conductivity.

Design/methodology/approach

The mathematical model of the problem consists of coupled differential equations, simplified using stream functions. The results of the time flow rate for fluid and solid granules have been derived numerically.

Findings

The fluid and dust particle velocity profiles are being presented graphically to analyze the effects of density of solid particles, magnetohydrodynamics, curvature and slip parameters. Heat transfer analysis is also performed for magnetic parameter, density of dust particles, variable thermal conductivity, slip parameter and curvature. As the number of particles in the fluid increases, heat conduction becomes slow through the fluid. Increase in temperature distribution is noticed as variable thermal conductivity parameter grows. The discussion of variable thermal conductivity is of great concern as many biological treatments and optimization of thermal energy storage system’s performance require precise measurement of a heat transfer fluid’s thermal conductivity.

Originality/value

This study of heat transfer with inhomogeneous distribution of the particles in a fluid has not yet been reported.

中文翻译：

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具有不均匀固体颗粒和可变导热系数的磁流体动力学蠕动流体通过弯曲通道的传热分析

目的

流体中的颗粒分布大多不均匀。固体颗粒的不均匀分散会影响速度分布以及流体的传热。这项研究旨在强调流体中颗粒密度变化的影响。流体在施加的磁场下流过波状弯曲的通道。热传递是通过可变导热系数来讨论的。

设计/方法论/途径

问题的数学模型由耦合微分方程组成，并使用流函数进行简化。流体和固体颗粒的时间流速结果已通过数值导出。

发现

流体和灰尘颗粒速度剖面以图形方式呈现，以分析固体颗粒密度、磁流体动力学、曲率和滑移参数的影响。还对磁参数、灰尘颗粒密度、可变热导率、滑移参数和曲率进行传热分析。随着流体中颗粒数量的增加，流体中的热传导变得缓慢。随着可变热导率参数的增加，我们注意到温度分布的增加。可变导热系数的讨论备受关注，因为许多生物处理和热能存储系统性能的优化需要精确测量传热流体的导热系数。

原创性/价值

这项关于流体中颗粒不均匀分布的传热研究尚未见报道。