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首页> 外文期刊>Journal of Nanofluids >Boundary Layer Flow and Heat Transfer Analysis by Using the Correlation Coefficient and Regression Model Over a Stretching Bullet-Shaped Object
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Boundary Layer Flow and Heat Transfer Analysis by Using the Correlation Coefficient and Regression Model Over a Stretching Bullet-Shaped Object

机译：边界层流动和传热分析使用相关系数和回归模型在拉伸子弹形状的物体

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摘要

The boundary layer theory is important when fluid flows over a solid surface that is moving or stationary. In presence of the boundary layer, the effective shape of the body may change leading to changes in pressure distribution, as a result, the overall lift and drag forces change. Therefore, the Boundary layer theory helps in designing aerofoil's, to compute the lift and drag forces for the aerospace and automobile designers, to control the heat transfer rate from the device, etc. So, the present problem will help design the various types of bullet-shaped objects in the field of automobile engineering. Therefore, the current problem has focused on the two-dimensional axisymmetric BL flow over a stretching bullet-shaped object for the effect of magnetic field strength (M), linear stretching parameter (m), and surface thickness parameter (s). Therefore, the main goal of this work is to determine the relation by applying the correlation coefficient among the physical parameters and velocity field, temperature field, shear stress (tau(w)), Nusselt number (Nu(x)). Hence, the novelty of the current paper is to develop the relationship among the dependent and independent parameters by the correlation coefficient and also developed the numerical method to solve these highly nonlinear equations. The numerical results are discussed for the three different values of the stretching ratio parameter and two values of the surface thickness parameter. The velocity and temperature distribution equations are compressed into a system of ODEs with similarity transformations. These ODEs are then solved using a spectral quasi- linearization method (SQLM) by applying Taylor series expansions that can be used to linearize the non-linear terms in the equations. These resulting linearized systems of equations are determined by the spectral collocation method. The convergence of the numerical solutions was performed by using the residual error of the PDEs. The error analysis is established for the validity of the present model. This error norm is applied to establish the validity and convergence of the numerical solution. The outcome of the mentioned dimensionless parameters over the fluid velocity field, temperature field, skin friction coefficient (C-f), and Nusselt number (Nu(x)) are displayed graphically. It is observed that the parameters M and m are positively correlated with fluid velocity distribution within the BL but the surface thickness parameter(s) are negatively correlated. The rate of temperature increases for the parameter m and Pr but decreases for M and s. Therefore, the boundary layer thickness reduces for increasing the values of M and m but increases for increasing the values of s. The velocity of the fluid is about 80% higher in the case of a thinner surface (s = 0.2) than the thicker surface (s = 2.0) and the heat transfer rate is also higher in the case of a thinner surface comparatively thicker surface. The innovation of this present problem lies in the unification of more physical parameters into the governing equations and an attempt to give a thorough analysis of how the flow properties are affected by these parameters.
机译：当流体边界层理论是很重要的移动或流动在固体表面静止的。有效的形状的身体可能会改变导致压力分布的变化,结果,整个升力和阻力的力量变化。因此,边界层理论帮助机翼的设计,计算电梯航空和汽车拖力设计师,控制的传热速率设备等。帮助设计各种类型的子弹形状在汽车工程领域的对象。因此,当前的问题集中在在一个二维轴对称提单流拉伸子弹形状对象的影响磁场强度(M),线性拉伸参数(m)和表面厚度参数(年代)。因此,这项工作的主要目标确定通过应用的关系物理之间的相关系数参数和速度场,温度场,剪切应力(τ(w)),努塞尔特数(ν(x))。因此,当前论文的新颖性依赖之间的关系和发展独立参数的相关性系数和发达的数值方法来解决这些高度非线性方程组。数值结果讨论了三个不同拉伸比的值参数和表面厚度的两个值参数。被压缩成一个分布方程系统的常微分方程和相似变换。这些常微分方程解决使用光谱准线性化方法(SQLM)通过应用泰勒级数,可用于扩展线性化方程中的非线性项。这些生成的线性化系统的方程由光谱搭配吗方法。解决方案是由使用残留pde的错误。建立了现在的有效性模型。数值计算的有效性和收敛性解决方案。无量纲参数对流体速度场、温度场、皮肤摩擦(氟)系数和努塞尔特数(ν(x))以图形方式显示。参数M和M是呈正相关提单,但内流体速度分布表面厚度参数(s)是负面的相关的。参数m和公关但降低m和s。因此,边界层厚度降低提高M和M的值增加增加价值的年代。流体的速度高出大约80%更薄的表面比(s = 0.2)厚的表面(s = 2.0)和传热率也更高的更薄表面相对较厚的表面。现在问题在于创新更多的物理参数的统一控制方程和一个试图给出一个深入分析如何流属性受这些参数的影响。

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