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Heat transfer and velocity in the squeezing flow between two parallel disks by Gegenbauer Wavelet Collocation Method
Archive of Applied Mechanics ( IF 2.8 ) Pub Date : 2020-10-19 , DOI: 10.1007/s00419-020-01782-4
İbrahim Çelik , Harun Kemal Öztürk

In this study, the squeezing flows between parallel disks, which one disk is impermeable and the other is porous, in the presence of magnetic field are investigated by Gegenbauer Wavelet Collocation Method (GWCM). Appropriate similarity transformations may be used to convert the governing non-linear partial differential equations into non-linear ordinary differential equations. The resultant non-linear ordinary differential equations are transformed into a sequence of linear differential equations by quasilinearization technique. Velocity and temperature fields of squeezing flows between parallel disks have been obtained by Gegenbauer Wavelet Collocation Method. The effects of squeeze number (S), Hartman number (Ha), Prandtl number (Pr), and Eckert number (Ec) and suction/blowing parameter (A) are analysed through graphs for the velocity and temperature profiles. GWCM is generalized form of the Legendre, Chebyshev and second kind Chebyshev wavelets. The basic advantage of the proposed method (GWCM) is to reduce the computational work. From the numerical results, it is observed that present method is convergent even in the case of a small number of grid points. The obtained results are in good agreement with the results in literature.



中文翻译:

Gegenbauer小波配点法在两个平行盘之间挤压流动中的传热和速度

在这项研究中,挤压平行圆盘之间流动,其中一个盘是不可渗透的,而另一个是多孔的,在磁场的存在下进行了研究ģ egenbauer W¯¯子波Ç ollocation中号ethod(GWCM)。可以使用适当的相似性变换将控制的非线性偏微分方程转换为非线性常微分方程。通过拟线性化技术将所得的非线性常微分方程转换为一系列线性微分方程。利用Gegenbauer小波配点法得到了平行盘之间挤压流动的速度场和温度场。通过速度和温度曲线图分析挤压数(S),哈特曼数(Ha),普兰特数(Pr)和埃克特数(Ec)和吸气/吹气参数(A)的影响。GWCM是Legendre,Chebyshev和第二类Chebyshev小波的广义形式。所提出的方法(GWCM)的基本优点是减少了计算量。从数值结果可以看出,即使在网格点数量较少的情况下,本方法也是收敛的。所得结果与文献结果吻合良好。

更新日期:2020-10-19
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