Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature

Q1 Chemical Engineering International Journal of Thermofluids Pub Date : 2024-09-07 DOI:10.1016/j.ijft.2024.100854
Sumanta Chaudhuri , Rajiva Lochan Mohanty , Paromita Chakraborty , Vijay Kumar Mishra
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Abstract

Forced convection in Newtonian and non-Newtonian fluids flowing through pipes maintained at uniform heat flux or uniform wall temperature are important for understanding heat transfer characteristics in design and thermal management of heat exchangers. Convective heat transfer in both Newtonian and non-Newtonian fluids flowing through pipes and parallel plates, subjected to uniform wall heat flux condition, were extensively studied by researchers. But for uniform wall temperature, studies on non-Newtonian fluids in pipes are rarely considered. Forced convective heating and cooling of a third-grade fluid, flowing in a pipe subjected to uniform (constant) wall temperature is considered. Effect of viscous dissipation is included in the energy equation. Separate energy conservation equations for heating and cooling are formulated and their dimensionless forms are obtained. Numerical solutions by shooting technique are obtained for the governing equations. The same equations are also solved by the least square method and semi-analytical solutions are yielded. Least square method is a widely used semi-analytical tool used for solving non-linear differential equations. Results of the numerical solution and semi-analytical solutions are compared and are observed to be in close agreement. This validates the numerical solution. Few important observations are presented. For heating, when the non-Newtonian parameter increases from 0 – 0.1, the peak temperature drops from 1.15 – 0.55 which occurs at the centre. In case of cooling, when non-Newtonian parameter increases from 0 – 0.1, the difference in central line temperature and wall temperature increases to 0.17 from 0.09. For change in the non-Newtonian parameter from 0.2 – 0.3, both for heating and cooling the peak temperature change is not drastic. Heat transfer coefficient, in case of heating, differs by nearly 3.5 when the non-Newtonian parameter increases from 0 – 0.1.

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表面温度均匀的管道中三级流体加热/冷却时的粘性耗散效应
牛顿和非牛顿流体在保持均匀热通量或均匀壁温的条件下流经管道时的强制对流对于了解热交换器设计和热管理中的传热特性非常重要。研究人员对在均匀壁面热通量条件下流经管道和平行板的牛顿和非牛顿流体的对流传热进行了广泛研究。但对于管壁温度均匀的情况,很少考虑对管道中的非牛顿流体进行研究。本研究考虑了在均匀(恒定)壁温条件下,在管道中流动的第三级流体的强制对流加热和冷却。能量方程中包含粘性耗散的影响。分别制定了加热和冷却的能量守恒方程,并获得了它们的无量纲形式。通过射流技术获得了控制方程的数值解。同样的方程也用最小平方法求解,并得到半解析解。最小平方法是一种广泛用于求解非线性微分方程的半解析工具。将数值解法和半解析解法的结果进行比较,发现两者非常接近。这验证了数值解法。本文介绍了一些重要的观察结果。对于加热,当非牛顿参数从 0 增加到 0.1 时,峰值温度从 1.15 降到 0.55,出现在中心位置。在冷却情况下,当非牛顿参数从 0 增加到 0.1 时,中心线温度与壁面温度之差从 0.09 增加到 0.17。当非牛顿参数在 0.2 - 0.3 之间变化时,加热和冷却的峰值温度变化都不大。当非牛顿参数从 0 增加到 0.1 时,加热时的传热系数相差近 3.5。
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来源期刊
International Journal of Thermofluids
International Journal of Thermofluids Engineering-Mechanical Engineering
CiteScore
10.10
自引率
0.00%
发文量
111
审稿时长
66 days
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