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首页> 外文期刊>International journal of non-linear mechanics >Stagnation-point flow of a viscoelastic fluid towards a stretching surface
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Stagnation-point flow of a viscoelastic fluid towards a stretching surface

机译：粘弹性流体向拉伸表面的滞止点流

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An analysis is made of the steady two-dimensional stagnation-point flow of an incompressible viscoelastic fluid over a flat deformable surface when the surface is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. It is shown that for a viscoelastic fluid of short memory (obeying Walters' B' model), a boundary layer is formed when the stretching velocity of the surface is less than the inviscid free-stream velocity and velocity at a point increases with increase in the elasticity of the fluid. On the other hand, an inverted boundary layer is formed when the surface stretching velocity exceeds the velocity of the free stream and the velocity decreases with increase in the elasticity of the fluid. A novel result of the analysis is that the flow near the stretching surface is that corresponding to an inviscid stagnation-point flow when the surface stretching velocity is equal to the velocity of the free stream. Temperature distribution in the boundary layer is found when the surface is held at constant temperature and surface heat flux is determined. It is found that temperature at a point decreases with increase in the elasticity of the fluid.
机译：分析了当不可压缩的粘弹性流体在其自身平面中以与到停滞点的距离成比例的速度拉伸时，不可压缩的粘弹性流体在平坦的可变形表面上的稳定的二维停滞点流动。结果表明，对于记忆力短的粘弹性流体（服从Walters的B'模型），当表面的拉伸速度小于无粘性自由流速度时，会形成边界层，并且随着速度的增加，点处的速度会增加。流体的弹性。另一方面，当表面拉伸速度超过自由流的速度并且随着流体的弹性的增加而降低时，反边界层形成。该分析的新颖结果是，当表面拉伸速度等于自由流速度时，拉伸表面附近的流动是对应于不粘滞点的流动。当表面保持恒定温度并确定表面热通量时，可以找到边界层中的温度分布。发现一点的温度随着流体的弹性的增加而降低。

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