| Exact Solution of Unsteady Flow of Viscoelastic Fluid in a Pipe with Fractional Maxwell Model |
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| 作者姓名： | 贾九红 杜俭业 汪玉 华宏星 |
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| 作者单位： | State Key Lab. of Vibration Shock and Noise Shanghai Jiaotong Univ.，Inst. of Naval Vessels Naval Arming Academy，Inst. of Naval Vessels Naval Arming Academy，State Key Lab. of Vibration Shock and Noise Shanghai Jiaotong Univ.，Shanghai 200240 China，Beijing 100073 China，Beijing 100073 China Shanghai 200240 China |
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| 摘 要： | The unsteady flow of viscoelastic fluid in a cylindrical pipe was investigated using the fractional Maxwell model. Two special cases of unsteady pipe flow were expressed. The first is start-up flow, and the second is oscillating flow. The exact solution of start-up flow under a constant pressure gradient was obtained by using the theories of Laplace transform and Fourier-Bessel series for fractional derivatives. The exact solution of oscillating flow was obtained by utilizing the separation of variables.
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Exact Solution of Unsteady Flow of Viscoelastic Fluid in a Pipe with Fractional Maxwell Model |
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| JIA Jiu-hong,DU Jian-ye,WANG Yu,HUA Hong-xing,.Exact Solution of Unsteady Flow of Viscoelastic Fluid in a Pipe with Fractional Maxwell Model[J].Journal of Shanghai Jiaotong university,2007,12(6):813-816. |
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| Authors: | JIA Jiu-hong DU Jian-ye WANG Yu HUA Hong-xing |
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| Abstract: | The unsteady flow of viscoelastic fluid in a cylindrical pipe was investigated using the fractional Maxwell model. Two special cases of unsteady pipe flow were expressed. The first is start-up flow, and the second is oscillating flow. The exact solution of start-up flow under a constant pressure gradient was obtained by using the theories of Laplace transform and Fourier-Bessel series for fractional derivatives. The exact solution of oscillating flow was obtained by utilizing the separation of variables. |
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| Keywords: | fractional Maxwell model viscoelastic fluid unsteady pipe flow start-up flow oscillating flow exact solution |
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