Electro-osmosis modulated peristaltic flow of oldroyd 4-constant fluid in a non-uniform channel

Author(s):  
A. Abbasi ◽  
A. Zaman ◽  
W. Farooq ◽  
M. F. Nadeem
2018 ◽  
Vol 7 (4.10) ◽  
pp. 319
Author(s):  
V. Jagadeesh ◽  
S. Sreenadh ◽  
P. Lakshminarayana2

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. 


2020 ◽  
Vol 50 (3) ◽  
pp. 151-158
Author(s):  
Rajashekhar C ◽  
Manjunath G ◽  
Hanumesh Vaidya ◽  
Kerehalli Vinayaka Prasad ◽  
Divya B B ◽  
...  

The present paper examines the impact of heat and mass transfer on the peristaltic flow of Rabinowitsch fluid through a non-uniform channel. The effects of slip and variable fluid properties are taken into account. The impacts of wall rigidity, wall stiffness, and viscous damping force parameter are considered. The equations governing the flow are rendered dimensionless by using a suitable similarity transformation. The governing equations of momentum, motion, energy, and concentration are solved by utilizing long wavelength and small Reynolds number approximation. The MATLAB 2019a programming has been used to obtain the solutions for velocity and concentration profiles. The series solution technique has been utilized to get the expression for temperature. The influence of relevant parameters on velocity, temperature, concentration, and streamlines are examined for viscous, shear-thinning, and shear thickening fluid models. The examination uncovers that a rise in the value of variable viscosity and variable thermal conductivity improves the velocity and temperature profiles for Newtonian and pseudoplastic fluid models. Moreover, an increase in the volume of the trapped bolus is seen for an expansion in the estimation of the velocity slip parameter for all the three considered models.


BIOMATH ◽  
2016 ◽  
Vol 5 (1) ◽  
pp. 1605161 ◽  
Author(s):  
Emilia Bazhlekova ◽  
Ivan Bazhlekov

Peristaltic flow of viscoelastic fluid through a uniform channel is considered under the assumptions of long wavelength and low Reynolds number. The fractional Oldroyd-B constitutive viscoelastic law is employed. Based on models for peristaltic viscoelastic flows given in a series of papers by Tripathi et al. (e.g. Appl Math Comput. 215 (2010) 3645–3654; Math Biosci. 233 (2011) 90–97) we present a detailed analytical and numerical study of the evolution in time of the pressure gradient across one wavelength. An analytical expression for the pressure gradient is obtained in terms of Mittag-Leffler functions and its behavior is analyzed. For numerical computation the fractional Adams method is used. The influence of the different material parameters is discussed, as well as constraints on the parameters under which the model is physically meaningful.


2017 ◽  
Vol 7 ◽  
pp. 2865-2873 ◽  
Author(s):  
T. Hayat ◽  
H. Zahir ◽  
A. Alsaedi ◽  
B. Ahmad

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