Mixed convection analysis of cilia-driven flow of a Jeffrey fluid in a vertical tube

2020 ◽  
Vol 98 (2) ◽  
pp. 111-118
Author(s):  
Hina Sadaf ◽  
Adnan Kiani ◽  
Nazir Ahmad Mir
Keyword(s):  
Exact Solution ◽  
Reynolds Number ◽  
Mixed Convection ◽  
Newtonian Fluid ◽  
Human Body ◽  
Vertical Tube ◽  
Jeffrey Fluid ◽  
Small Reynolds Number ◽  
Motion Features ◽  
Large Wavelength

In this article, effects of cilia-driven flow of a Jeffrey fluid in a vertical tube are discussed. Mixed convection effects are also considered. Jeffrey fluid equations are simplified by the well-known assumptions of small Reynolds number and large wavelength. An exact solution has been managed for the simplified equations. The ciliated motion features are investigated by plots and are discussed in detail. The consequences show that the pumping machinery functions more competently drive forward Jeffrey fluid than Newtonian fluid. The results may help us better understand the transportation of bio-fluids in the human body.

scholarly journals Influence of Inclined Magnetic Field on the Peristaltic Flow of a Jeffrey Fluid in an Inclined Porous Channel

2018 ◽  
Vol 7 (4.10) ◽  
pp. 319
Author(s):  
V. Jagadeesh ◽  
S. Sreenadh ◽  
P. Lakshminarayana2
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Porous Medium ◽  
Wave Length ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Small Reynolds Number ◽  
Inclined Magnetic Field ◽  
Governing Equations ◽  
Uniform Channel

In this paper we have studied the effects of inclined magnetic field, porous medium and wall properties on the peristaltic transport of a Jeffry fluid in an inclined non-uniform channel. The basic governing equations are solved by using the infinite wave length and small Reynolds number assumptions. The analytical solutions have obtained for velocity and stream function. The variations in velocity for different values of important parameters have presented in graphs. The results are discussed for both uniform and non-uniform channels. 

scholarly journals On the Steady Flow of a Second-Grade Fluid between Two Coaxial Porous Cylinders

2007 ◽  
Vol 2007 ◽  
pp. 1-11 ◽  
Author(s):  
M. Emin Erdoğan ◽  
C. Erdem İmrak
Keyword(s):  
Exact Solution ◽  
Reynolds Number ◽  
Steady Flow ◽  
Newtonian Fluid ◽  
Velocity Variation ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
The Cross ◽  
Porous Cylinders

An exact solution of an incompressible second-grade fluid for flow between two coaxial porous cylinders is given. The velocity profiles for various values of the cross-Reynolds number and the elastic number are plotted. It is found that for large values of the cross-Reynolds number, the velocity variation near boundaries shows a different behaviour than that of the Newtonian fluid.

Performance of a variety of low Reynolds number turbulence models applied to mixed convection heat transfer to air flowing upwards in a vertical tube

2004 ◽  
Vol 218 (11) ◽  
pp. 1361-1372 ◽  
Author(s):  
W S Kim ◽  
J D Jackson ◽  
S He ◽  
J Li
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Mixed Convection ◽  
Low Reynolds Number ◽  
Convection Heat Transfer ◽  
Turbulence Models ◽  
Vertical Tube ◽  
Convection Heat ◽  
Mixed Convection Heat Transfer ◽  
Low Reynolds

The study reported here is concerned with mixed convection heat transfer to air flowing upwards in a vertical tube. Computational simulations of experiments from a recent investigation have been performed using an ‘in-house’ code which was written specifically for variable-property, developing, buoyancy-influenced flow and heat transfer in a vertical passage. The code incorporates a selection of two-equation, low Reynolds number turbulence models. The objective of the study was to evaluate the models in terms of their capability of reproducing the effects on turbulent heat transfer of non-uniformity of fluid properties and buoyancy. Direct comparisons have been made between results from the experimental investigation and those obtained by computational modelling for a range of conditions. The trends of impairment and enhancement of heat transfer owing to the influence of buoyancy found in the experiments were captured to some extent in the simulations using each of the models. However, none reproduced observed behaviour correctly over the entire range of buoyancy influence.

Viscous Flows

2018 ◽  
Author(s):  
S. G. Rajeev
Keyword(s):  
Exact Solution ◽  
Reynolds Number ◽  
Stokes Equations ◽  
Viscous Flows ◽  
Navier Stokes ◽  
Small Reynolds Number ◽  
Navier Stokes Equation ◽  
Navier Stokes Equations ◽  
The Core ◽  
Flow Past A Sphere

Here some solutions of Navier–Stokes equations are found.The flow of a fluid along a pipe (Poisseuille flow) and that between two rotating cylinders (Couette flow) are the simplest. In the limit of large viscosity (small Reynolds number) the equations become linear: Stokes equations. Flow past a sphere is solved in detail. It is used to calculate the drag on a sphere, a classic formula of Stokes. An exact solution of the Navier–Stokes equation describing a dissipating vortex is also found. It is seen that viscosity cannot be ignored at the boundary or at the core of vortices.

scholarly journals Angular velocity of a sphere in a simple shear at small Reynolds number

2016 ◽  
Vol 1 (8) ◽  
Author(s):  
J. Meibohm ◽  
F. Candelier ◽  
T. Rosén ◽  
J. Einarsson ◽  
F. Lundell ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Angular Velocity ◽  
Simple Shear ◽  
Small Reynolds Number

Electrohydrodynamic Gas Pump in a Vertical Tube

2008 ◽  
Author(s):  
N. M. Brown ◽  
F. C. Lai
Keyword(s):  
Reynolds Number ◽  
Applied Voltage ◽  
Vertical Tube ◽  
Electrode Spacing ◽  
Flow Profile ◽  
Ionic Wind ◽  
Dc Voltage ◽  
Inner Surface ◽  
Ground Plate ◽  
Exposed Surface Area

The characteristics of an electrohydrodynamic (EHD) gas pump were experimentally evaluated in this study. Experiments were conducted using positive DC voltage (13.0 kV – 30.0 kV), applied to a thin corona wire of diameter 0.51 mm. The ground plate used in the study was mounted on the inner surface of a cylinder and had a width of 12.7 mm and a total exposed surface area of 1.52 × 10−3 m2. The pumps tested were identical except for their spacing between the emitting electrode and the ground plate, which varied from 0.66D to 1.33D. The results show that the current on the ground plate increases as the applied voltage increases. It is also observed that the applied voltage at which flow was first detected in the cylinder correlates well with the electrode spacing. It appears that the four electrodes placed along the surface of the pipe were able to disturb the boundary layer enough to create a uniform flow profile within the pipe. As a result, flow as high as 2.5 m/s was observed in the cylinder with an electrode spacing of L/D = 1.33. The results also show that the ionic wind velocity increases with an increasing EHD Reynolds number for L/D = 0.66 and 1.0, but decreases with the EHD Reynolds number for L/D > 1.

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