Unsteady unidirectional flow of a Voigt fluid in the circular duct with different prescribed volume flow rate conditions |
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| Authors: | Email author" target="_blank">C?I?ChenEmail author C?K?Chen Y?T?Yang |
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| Institution: | (1) Department of industrial engineering and management, I-Shou university, 1, Section 1, Shiuecheng Rd, Dashu Shiang, Kaohsiung County, Taiwan, 840, R.O.C;(2) Department of mechanical engineering national, Cheng Kung University, Tainan, Taiwan |
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| Abstract: | In the present study, the velocity profile and pressure gradient of the unsteady state unidirectional flow of a Voigt fluid in a circular duct with different prescribed volume flow rate are investigated. The flow motion in the duct is induced by a prescribed inlet volume flow rate which varies with time. Based on the flow conditions prescribed, two basic flow situations are solved; these are a suddenly started, and a constant accelerated, flow respectively. These two results are then applied to a practical case that is a trapezoidal motion which contains three phases of piston motion, the constant acceleration from the rest to a fixed velocity, then maintaining at this velocity, following with the constant deceleration to a stop. In addition, oscillatory flow is also considered. |
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| Keywords: | Voigt fluid velocity profile pressure gradient Laplace Transform Trapezoidal piston motion |
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