Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Mathematical Physics Pub Date : 2022-11-02 DOI:10.1155/2022/6389275
T. Saha, N. Parveen, T. Islam
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Abstract

The effects of thermal conductivity which depend on temperature are conversely proportional with the linear function of temperature on free convective flow where the fluid is viscous and incompressible along a heated uniform and the vertical wavy surface has been examined in this study. The boundary layer equations with the associated boundary conditions that govern the flow are converted into a nondimensional form by using an appropriate transformation. In the domain of a vertical plate that is flat, the resulting method of nonlinear PDEs is mapped and then worked out numerically by applying the implicit central finite difference technique with Newton’s quasilinearization method, and the block Thomas algorithm is well known as the Keller-box method. The outputs are obtained in the terms of the heat transferring rate, the frictional coefficient of skin, the isotherms, and streamlines. The outcomes showed that the local heat transferring rate, the local skin friction coefficient, the temperature, and the velocity all are decreasing, and both the thermal layer of boundary and velocity become narrower with the rising values of reciprocal variation of temperature-dependent thermal conductivity. On the other hand, the friction coefficient of skin, the velocity, and the temperature decrease where the friction coefficient of skin and velocity decrease by 43% and 64%, respectively, but the heat transfer rate increases by 61% approximately, and both the boundary layer thermal and velocity become thinner when the Prandtl number increases.
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波浪形垂直表面自由对流流动的倒数导热系数分析
在本研究中,研究了流体沿受热均匀面和垂直波浪面具有粘性和不可压缩性的自由对流中,取决于温度的热导率的影响与温度的线性函数成反比。通过使用适当的变换,将具有控制流动的相关边界条件的边界层方程转换为无量纲形式。在平面垂直板的域中,应用隐式中心有限差分技术和牛顿拟线性化方法,映射并数值求解了非线性偏微分方程的生成方法,块-托马斯算法被称为Keller盒法。输出是根据传热率、皮肤摩擦系数、等温线和流线获得的。结果表明,随着温度相关导热系数倒数变化值的增加,局部传热率、局部皮肤摩擦系数、温度和速度都在下降,边界热层和速度都变窄。另一方面,当表面摩擦系数和速度分别降低43%和64%时,表面摩擦系数、速度和温度降低,但传热率增加了约61%,并且当普朗特数增加时,边界层的热和速度都变薄。
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来源期刊
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
期刊介绍: Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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