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| مقاله 15، دوره 37، شماره 1 - شماره پیاپی 1072، خرداد 1382 اصل مقاله (375.11 K) | ||
| نویسندگان | ||
| کیوان صادقی؛ مهدی شریفی* | ||
| کلیدواژه‌ها | ||
| جریان بلازیوس؛ روش پرتابی؛ روش تفاضل محدود؛ سیال مرتبه دوم؛ سیال ویسکوالاستیک؛ لایه مرزی | ||
| عنوان مقاله [English] | ||
| - | ||
| چکیده [English] | ||
| Laminar two-dimensional flow of a viscoelastic fluid of the "Second-Order" type was investigated above a fixed rigid plate. Conventional boundary layer approximations were invoked to simplify the equations of motion which incorporate several elastic terms in addition to the familiar inertia, viscous and pressure terms. The governing boundary layer equation was realized to be a PDF equation which was further transformed into a nonlinear fourth-Order ODE through the use of the concept of a stream function together with introducing a similarity variable. The xcoordinate could not be eliminated from this equation, and so only local similarity solutions could be obtained for this flow field. Using a combination of finite difference and shooting methods, this equation was solved numerically for Deborah numbers as high as 1.0. The results showed that the wall shear stress scales with fluid's elasticity, increasing for higher values of fluid's elasticity. The boundary layer thickness was also found to decrease with an in crease in the elastic level of the fluid. Around a Deborah number of 0.4, velocity inside the boundary layer is predicted to exceed that outside the layer, a prediction which awaits experimental verification. | ||
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