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EN
The flow of blood through a rigid artery with different degrees of stenosis has been studied. Two different shapes (rectangular and cosine) of stenosis are considered while blood is modeled either as a Newtonian or non-Newtonian fluid. Three different degrees of stenosis, expressed in percentage, are considered representing mild to severe stenoses. The flow separates from the arterial wall at the stenosis and reattaches at a point downstream, forming a recirculating eddy. The pressure drop over the length of the artery varies for the different cases indicating the impact on the heart. A peak in the wall shear stress is observed at the location of the stenosis and zero stress points are observed where the flow separates and reattaches the wall. Results show marked differences in the flow pattern and shear stress between Newtonian and non-Newtonian models. Moreover, the power-law model exhibits a different trend as compared to the Casson model in predicting the flow field and wall shear stress.
EN
When a fluid flows through a pipe line, the velocity and temperature distribution across the pipe cross section is required to be determined in order to properly utilize the fluid and its associated energy in a process plant. In the present paper, a variational method has been used to determine this distribution in a pipeline of rectangular as well as square cross section under laminar condition. The mathematical equations have been developed describing the velocity and temperature distributions under two cases. In the first case, the heat flow rate is taken to be uniform along the axial direction and in the second case, the wall temperature has been taken to be uniform. In both the cases, the velocity and temperature distribution curves have been drawn from the mathematical equations derived. The distribution curves are presented for a variety of thermal boundary conditions around the periphery of the duct cross section.
EN
The continuity equation and the simplified version of the time dependent boundary layer momentum and energy equations are solved simultaneously for flow between two parallel plates, using an explicit numerical procedure. Solving the three equations simultaneously eliminates the need to assume the shape of the velocity and temperature profiles. Furthermore, this approach provides a picture of the variation of the velocity and temperature within the entire channel. The steady-state solution is obtained by letting time become very large. The shape of the velocity and temperature profiles seems to be consistent with theoretical expectations. The velocity and temperature profiles become fully developed at approximately x/a=0,05 Re for Pr=l, as expected.
EN
In this paper, the second law analysis of alaminar flow of a viscous incompressible fluid through an inclined channel with isothermal walls is investigated. Based on some simplifying assumptions, analytical solutions for the fluid velocity and temperature are constructed. The expressions for the entropy generation rate and irreversibility ratio are obtained and the results are presented graphically and discussed quantitatively for several values of the group parameter [...].
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