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首页> 外文期刊>Clean air >EFFECT OF VARIABLE VISCOSITY, THERMAL CONDUCTIVITY, AND HALL CURRENTS ON THE FLOW OVER AN EXPONENTIALLY STRETCHING SHEET WITH HEAT GENERATION/ABSORPTION
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EFFECT OF VARIABLE VISCOSITY, THERMAL CONDUCTIVITY, AND HALL CURRENTS ON THE FLOW OVER AN EXPONENTIALLY STRETCHING SHEET WITH HEAT GENERATION/ABSORPTION

机译：可变粘度，导热性和霍尔电流对具有发热/吸收的指数拉伸纸张流量的影响

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摘要

A steady, laminar, incompressible, and electrically conducting boundary-layer flow of a viscous fluid past an exponentially stretching sheet is considered with the Hall effect and heat source. The sheet velocity varies as an exponential function of the distance x from the slit. It is assumed that the viscosity and thermal conductivity vary as a linear function of temperature. A strong magnetic field is applied normal to the flow direction, and the influence of the Hall current is not neglected. The magnetic Reynolds number is assumed to be very small, so that the induced magnetic field is negligible. The presence of the Hall current induces cross flow in the z direction, and hence the flow becomes three-dimensional. The governing partial differential equations are transformed into coupled nonlinear ordinary differential equations using similarity transformations. The successive linearization method is used to reduce the nonlinear coupled ordinary differential equations into a system of linear differential equations and then the resulting system is solved using the Chebyshev pseudospectral method. The tangential and transverse velocities, as well as the temperature and concentration profiles are computed numerically and demonstrated by graphs. It is observed that the transverse velocity is increasing with the Hall and viscosity parameters. The temperature is reduced as the values of the Hall and viscosity parameters are increasing. The concentration is increasing with increase in the values of magnetic and viscosity parameters.
机译：使用霍尔效应和热源考虑粘性流体的稳定，层状，不可压缩和导电边界层流过指数拉伸片。纸张速度随着狭缝距离X的指数函数而变化。假设粘度和导热率随温度的线性函数而变化。将强磁场正常施加到流动方向，并且不会忽略霍尔电流的影响。假设磁性雷诺数非常小，使得诱导的磁场可以忽略不计。霍尔电流的存在在Z方向上引起交叉流动，因此流动变为三维。使用相似性转换，控制局部微分方程被转换为耦合的非线性常微分方程。连续的线性化方法用于将非线性耦合常用方程还原成线性微分方程的系统，然后使用Chebyshev Pseudtepectran方法解决了所得到的系统。切向和横向速度以及温度和浓度分布在数字上计算并通过图表进行了证明。观察到横向速度随着霍尔和粘度参数而增加。随着霍尔和粘度参数的值增加，温度降低。随着磁性和粘度参数的值的增加，浓度增加。

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