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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：粘度，热导率和霍尔电流对生热/吸附的指数型拉伸板流动的影响

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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：具有霍尔效应和热源的粘性流体的稳定，层状，不可压缩的导电边界层流经过指数拉伸片材被认为是有效的。片材速度作为距缝隙的距离x的指数函数而变化。假定粘度和导热率随温度的线性函数而变化。垂直于流向施加强磁场，并且不会忽略霍尔电流的影响。假定雷诺数很小，因此感应磁场可以忽略不计。霍尔电流的存在会引起z方向的错流，因此流变为三维。使用相似变换将控制的偏微分方程转换为耦合的非线性常微分方程。连续线性化方法用于将非线性耦合常微分方程简化为线性微分方程组，然后使用Chebyshev伪谱方法求解所得系统。切向速度和横向速度，以及温度和浓度曲线均通过数值计算并通过图表进行演示。可以看出，横向速度随着霍尔和粘度参数的增加而增加。温度随着霍尔和粘度参数的增加而降低。浓度随着磁性和粘度参数值的增加而增加。

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