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Sensitivity analysis of heat transfer in nanoliquid with inclined magnetic field, exponential space-based heat source, convective heating, and slip effects

机译：具有倾斜磁场，指数空间热源，对流加热和防滑效应的纳米喹钛硅酸中传热敏感性分析

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摘要

Sensitivity analysis of the rate of heat transport in the flow of nanoliquids over an elongated sheet using the response surface methodology (RSM) in combination with the face-centered central composite design. The flow is driven due to the velocity slip and the inclined magnetic field effects. Thermal analysis includes aspects of convective heating, Joule heating, viscous heating, and a space-dependent exponential heat source. The nanoliquid model consists of thermo-phoresis and random motion mechanisms. A set of coupled partial differential governance equations is rehabilitated into a set of ordinary differential equations using the appropriate transformation. Subsequent nonlinear problem is tackled numerically by utilizing finite difference code that employs the formula of four-stage Lobatto Ⅲa. The rate of heat transport is scrutinized by adopting RSM for three effectual parameters, namely magnetic field parameter (2 ≤ M ≤ 6), angle of inclination (30° ≤ α ≤ 60°), and suction parameter (1 ≤ s ≤ 3). The velocity and temperature fields were found to be a decreasing function of an angle of inclination of the magnetic field. The velocity range is inversely related to the suction and flow aspects of velocity. Furthermore, the rate of heat transport is more sensitive to the suction parameter than to the magnetic field and to the angle of inclination of the magnetic field.
机译：用响应面法（RSM）与面向中心的中央复合设计结合响应板在细长片上纳米喹钛石流动速率的敏感性分析。由于速度滑移和倾斜的磁场效应而被驱动流程。热分析包括对流加热，焦耳加热，粘性加热和空间依赖性指数热源的方面。纳米喹氢模型包括热敏和随机运动机制。使用适当的变换将一组耦合的部分差分治理方程恢复为一组常微分方程。随后通过利用采用四阶段LobattoⅢA的公式的有限差分码来计算随后的非线性问题。通过采用RSM进行三个有效参数，即磁场参数（2≤M≤6），倾斜角（30°≤α≤60°），以及吸入参数（1≤s≤3），仔细筛选热传输速率。（1≤s≤3） 。发现速度和温度场是磁场倾斜角度的降低。速度范围与速度的抽吸和流动方面相反。此外，热传输速率对吸入参数比到磁场和磁场的倾斜角更敏感。

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