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首页> 外文期刊>Discrete and continuous dynamical systems▼hSeries S >COUETTE FLOWS OF A VISCOUS FLUID WITH SLIP EFFECTS AND NON-INTEGER ORDER DERIVATIVE WITHOUT SINGULAR KERNEL
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COUETTE FLOWS OF A VISCOUS FLUID WITH SLIP EFFECTS AND NON-INTEGER ORDER DERIVATIVE WITHOUT SINGULAR KERNEL

机译：Courete的粘性流体流动，具有滑动效果和没有奇异内核的非整数阶衍生物

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摘要

Couette flows of an incompressible viscous fluid with non-integer order derivative without singular kernel produced by the motion of a flat plate are analyzed under the slip condition at boundaries. An analytical transform approach is used to obtain the exact expressions for velocity and shear stress. Three particular cases from the general results with and without slip at the wall are obtained. These solutions, which are organized in simple forms in terms of exponential and trigonometric functions, can be conveniently engaged to obtain known solutions from the literature. The control of the new non-integer order derivative on the velocity of the fluid moreover a comparative study with an older model, is analyzed for some flows with practical applications. The non-integer order derivative with non-singular kernel is more appropriate for handling mathematical calculations of obtained solutions.
机译：在边界的滑动条件下分析了没有通过平板运动产生的非整数阶数的不可压缩粘性流体的沟槽流。分析变换方法用于获得速度和剪切应力的精确表达。获得了一般结果的三种特定病例，并获得了墙壁上的一般结果。这些解决方案以简单的形式组织在指数和三角函数方面，可以方便地接合以获得来自文献的已知解决方案。对流体速度的新非整数阶导数的控制还与旧模型进行了比较研究，分析了一些具有实际应用的流动。具有非单数内核的非整数阶导数更适合处理所获得的解决方案的数学计算。

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