RUI:Theoretical and Experimental Investigation of Viscous Flow and Convective Heat Transfer in Helicoidal Heat Exchangers (REU Supplement)

这项研究是实验性的，也是理论性的。提出的研究目标如下：(1)建立螺旋管内粘性层流和紊流的完整通解；（11）得到螺旋管内层流和湍流对流换热的完全通解；（iii）实验重复(i)和（ii）。具体目标是在列出的无法获得严格的分析/数值或实验结果的情况下获得流场和热特性，并提供用于工业应用的相关性，表格和图表。从理论和实践的角度来看，对这些基本问题获得准确的分析、数值和实验结果是非常重要的，这将进一步促进这一领域的研究。控制方程是非线性的。用扰动法将层流方程简化为一组常微分方程。通过使用数值方法，将开发一种算法来评估这些方程。修饰后的K-。紊流模型将用于求解控制方程。在第三部分中，将设计一个实验装置，并使用激光多普勒风速仪（LDA）和数据采集的温度场来实验获得流体流动。实验结果将与理论/数值分析的结果进行比较，以检查基本假设和文献中可用的各种模型的有效性。

This investigation is both experimental and theoretical. The objectives of the proposed research are as follows: (1) to develop a complete general solution for viscous laminar and turbulent flows in helicoidal pipes; (11) to obtain the complete general solution of convective heat transfer for laminar and turbulent flows in helicoidal pipes and; (iii) to repeat (i) and (ii) experimentally. The specific objectives ar to obtain the flow fields and thermal properties in the listed cases for which rigorous analytical/numerical or experimental results are not available, and to present correlations, tables, and graphs for use in industrial application. It is believed that the availability of accurate analytical, numerical and experimental results for these fundamental problems are important from academic and practical points of view and they will further enhance the research in this area. The governing equations are non-linear. These equation, by using the method of perturbation for laminar flow will be reduced to a set of ordinary differential equations. By the use of numerical methods, an algorithm will be developed for the evaluation of these equations. The modified K-. Turbulent Model will be used to solve the governing equations. For part (iii), an experimental set-up will be designed and used to obtain experimentally the fluid flow using laser doppler anemometry (LDA) and temperature field using data acquisition. Experimental findings will be compared with the results of theoretical/numerical analysis to check the validity of basic assumptions and of various models available in literature.