In this study, the convective mode heat transfer phenomena of bi-phase elasticoviscous (non-Newtonian) nanofluid is quantified by forcefully flowing it through a specially designed microchannel test section. The test section, which is rectangularly cross-sectioned and annexed internally with cylindrical needle ribs is numerically investigated by considering the walls to be maintained at a constant temperature, and to be susceptible to a magnetizing force field. The governing system-state equations are numerically deciphered using control volume procedure and SIMPLEC algorithm. With the Reynolds number (Re) varying in the turbulent range from 3000 to 11,000, the system-state equations are solved using the Eulerian–Eulerian monofluid Two-Phase Model (TPM). For the purpose of achieving an apt geometry based on the best thermo-hydraulic behavior, an optimization study must be mandatory. The geometry of the cylindrical rib consists of h (10 × 10⁻³, 15 × 10⁻³, 20 × 10⁻³), p (1.0, 1.5), and d (8 × 10⁻³, 10 × 10⁻³, 12 × 10⁻³), which, respectively, defines the height, pitch, and diameter of the obstacles, with the dimensions placed within the braces being quantified in mm. The results demonstrated that the magnetic field leads to an enhanced amount of average Nusselt number (Nu_av) in contrast with the occurrence at B = 0.0. This is due to the that the magnetic field pushes nanoparticles towards the bottom wall. It was found that B = 0.5 T has the maximum heat transfer compared with the other magnetic fields. The channel with h = 15 μm height leads to the maximum value of Nu_av at all studied for constant values of d and h. The channel with p = 1.5 μm results in the maximum value of Nu_av at all studied for constant values of d and h. The microchannel with d = 8 μm, p = 1.5 μm, and h = 15 μm in the presence of the magnetic field with B = 0.5 T is the best geometry in the present work.

中文翻译：

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圆柱翅片在磁场作用下提高含纳米流体微换热器传热率的应用

在这项研究中，双相弹性粘性（非牛顿）纳米流体的对流模式传热现象通过强制流过专门设计的微通道测试部分来量化。测试截面为矩形截面并在内部附有圆柱形针肋，通过考虑壁保持恒定温度和易受磁化力场的影响，对测试部分进行了数值研究。使用控制体积程序和 SIMPLEC 算法对控制系统状态方程进行数值解密。随着雷诺数 (Re) 在 3000 到 11,000 的湍流范围内变化，系统状态方程使用欧拉-欧拉单流体两相模型 (TPM) 求解。为了获得基于最佳热工水力行为的合适几何形状，优化研究必须是强制性的。圆柱肋的几何形状由 h (10 × 10⁻³ , 15 × 10 ^-3 , 20 × 10 ^-3 ), p (1.0, 1.5) 和 d (8 × 10 ^-3 , 10 × 10 ^-3 , 12 × 10 ^-3 )，分别定义障碍物的高度、间距和直径，放置在支架内的尺寸以毫米为单位进行量化。结果表明，与 B = 0.0 时发生的情况相比，磁场导致平均努塞尔数 (Nu _av ) 的量增加。这是因为磁场将纳米颗粒推向底壁。发现与其他磁场相比，B = 0.5 T 具有最大的热传递。h = 15 μm 高度的通道导致 Nu _av的最大值完全研究了 d 和 h 的恒定值。p = 1.5 μm的通道导致 Nu _av的最大值，对于 d 和 h 的恒定值进行了研究。在B = 0.5 T 的磁场存在下，d = 8 μm、p = 1.5 μm 和 h = 15 μm的微通道是目前工作中最好的几何形状。