Linearized viscoelastic Oldroyd fluid motion in an almost periodic environment

2013 ◽  
Vol 37 (18) ◽  
pp. 2872-2888 ◽  
Author(s):  
Jean Louis Woukeng
Keyword(s):  
Fluid Motion ◽  
Almost Periodic ◽  
Oldroyd Fluid ◽  
Periodic Environment

scholarly journals Peristaltic viscoelastic fluid motion in a tube

2001 ◽  
Vol 26 (1) ◽  
pp. 21-34 ◽  
Author(s):  
Elsayed F. Elshehawey ◽  
Ayman M. F. Sobh
Keyword(s):  
Amplitude Ratio ◽  
Fluid Motion ◽  
Perturbation Expansion ◽  
Pressure Rise ◽  
Weissenberg Number ◽  
Wave Number ◽  
Physical Parameters ◽  
Oldroyd Fluid ◽  
Pumping Rate ◽  
Axisymmetric Tube

Peristaltic motion of viscoelastic incompressible fluid in an axisymmetric tube with a sinusoidal wave is studied theoretically in the case that the radius of the tube is small relative to the wavelength. Oldroyd flow has been considered in this study and the problem is formulated and analyzed using a perturbation expansion in terms of the variation of the wave number. This analysis can model the chyme movement in the small intestine by considering the chyme as an Oldroyd fluid. We found out that the pumping rate of Oldroyd fluid is less than that for a Newtonian fluid. Further, the effects of Reynolds number, Weissenberg number, amplitude ratio and wave number on the pressure rise and friction force have been discussed. It is found that the pressure rise does not depend on Weissenberg number at a certain value of flow rate. The results are studied for various values of the physical parameters of interest.

scholarly journals A stage-structured SEIR model with time-dependent delays in an almost periodic environment

2020 ◽  
Vol 17 (6) ◽  
pp. 7732-7750
Author(s):  
Lizhong Qiang ◽  
◽  
Ren-Hu Wang ◽  
Ruofan An ◽  
Zhi-Cheng Wang ◽  
...  
Keyword(s):  
Time Dependent ◽  
Almost Periodic ◽  
Seir Model ◽  
Periodic Environment

INFLUENCE OF HEAT TREATMENT OF MOUNTAIN MASSIVE ON TEMPERATURE MODE OF GEOTHERMAL CIRCULATION SYSTEM

2018 ◽  
pp. 44-50
Author(s):  
Yu. P. Morozov
Keyword(s):  
Heat Transfer ◽  
Operating Time ◽  
Fluid Motion ◽  
Coolant Temperature ◽  
Circulation System ◽  
Thermal Processes ◽  
Temperature Mode ◽  
Heat Influx ◽  
Stationary Heat Transfer

Based on the solution of the problem of non-stationary heat transfer during fluid motion in underground permeable layers, dependence was obtained to determine the operating time of the geothermal circulation system in the regime of constant and falling temperatures. It has been established that for a thickness of the layer H <4 m, the influence of heat influxes at = 0.99 and = 0.5 is practically the same, but for a thickness of the layer H> 5 m, the influence of heat inflows depends significantly on temperature. At a thickness of the permeable formation H> 20 m, the heat transfer at = 0.99 has virtually no effect on the thermal processes in the permeable formation, but at = 0.5 the heat influx, depending on the speed of movement, can be from 50 to 90%. Only at H> 50 m, the effect of heat influx significantly decreases and amounts, depending on the filtration rate, from 50 to 10%. The thermal effect of the rock mass with its thickness of more than 10 m, the distance between the discharge circuit and operation, as well as the speed of the coolant have almost no effect on the determination of the operating time of the GCS in constant temperature mode. During operation of the GCS at a dimensionless coolant temperature = 0.5, the velocity of the coolant is significant. With an increase in the speed of the coolant in two times, the error changes by 1.5 times.

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