Integral Transform Method to Solve the Problem of Porous Slider without Velocity Slip

Symmetry - Tập 11 Số 6 - Trang 791
Naeem Faraz1,2, Yasir Khan3, Dianchen Lu1, Marjan Goodarzi4
1Faculty of Science, Jiangsu University, Zhenjiang, 212013 Jiangsu, China
2International Cultural Exchange School of Donghua University, Shanghai 200051, China
3Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 1803, Saudi Arabia
4Sustainable Management of Natural Resources and Environment Research Group, Faculty of Environment and Labour Safety, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Tóm tắt

This study is about the lubrication of a long porous slider in which the fluid is injected into the porous bottom. The similarity transformation reduces the Navier-Stokes equations to couple nonlinear, ordinary differential equations, which are solved by a new algorithm. The proposed technique is based on integral transformation. Apparently, there is great symmetry between proposed method and variation iteration method, Adomian decomposition method but in integral transform method all the boundary conditions are applied, then a recursive scheme is used for the analytical solutions, which is unlike the Variational Iteration Method, Adomian Decomposition Method, and other existing analytical methods. Solutions are obtained for much larger Reynolds numbers, and they are compared with analytical and numerical methods. Effects of Reynolds number on velocity components are presented.

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Tài liệu tham khảo

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Symmetry

Tập 11 Số 6

791

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