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Effect of point/line heat source and Hall current on free convective flow between two vertical walls
Pramana ( IF 1.9 ) Pub Date : 2020-10-07 , DOI: 10.1007/s12043-020-02009-5
Naveen Dwivedi , Ashok Kumar Singh

The influence of a point heat source and Hall current on the laminar hydromagnetic free convective flow of an incompressible and electrically conducting viscous liquid between two vertical walls has been studied. A wavelet function is utilised to mathematically formulate the point or line heat source. The incidental equations on the flow have been processed subject to the Boussinesq approximation. A unified analytical solution of basic equations like thermal energy and momentum has been derived by employing Laplace transform technique. The impacts of the pertinent physical parameters, such as Hall parameter, magnetic field and point heat source, on the velocity field are explained graphically. The valuable result from the investigation is that an increase in the length of the point heat source leads to the enhancement of the velocity profiles. Moreover, it is noticeable that an enhancement of Hall current has a direct connection with the primary factor of the volumetric flow rate and skin friction.

中文翻译:

点/线热源和霍尔电流对两个垂直壁之间自由对流的影响

已经研究了点热源和霍尔电流对不可压缩且导电的粘性液体在两个垂直壁之间的层流磁流体自由对流的影响。小波函数用于数学公式化点或线热源。流动的附带方程已根据 Boussinesq 近似处理。采用拉普拉斯变换技术推导出热能、动量等基本方程的统一解析解。相关的物理参数,如霍尔参数、磁场和点热源,对速度场的影响进行了图形解释。调查的有价值的结果是点热源长度的增加导致速度剖面的增强。
更新日期:2020-10-07
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