scholarly journals A novel mathematical modeling with solution for movement of fluid through ciliary caused metachronal waves in a channel

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Wasim Ullah Khan ◽  
Ali Imran ◽  
Muhammad Asif Zahoor Raja ◽  
Muhammad Shoaib ◽  
Saeed Ehsan Awan ◽  
...  
Keyword(s):  
Fluid Transport ◽  
Fluid Model ◽  
Transverse Velocity ◽  
Perturbation Technique ◽  
Wave Length ◽  
Pressure Rise ◽  
Nano Fluid ◽  
Symmetric Channel ◽  
Ciliary Motion ◽  
Induced Flow

AbstractIn the present research, a novel mathematical model for the motion of cilia using non-linear rheological fluid in a symmetric channel is developed. The strength of analytical perturbation technique is employed for the solution of proposed physical process using mectachoronal rhythm based on Cilia induced flow for pseudo plastic nano fluid model by considering the low Reynolds number and long wave length approximation phenomena. The role of ciliary motion for the fluid transport in various animals is explained. Analytical expressions are gathered for stream function, concentration, temperature profiles, axial velocity, and pressure gradient. Whereas, transverse velocity, pressure rise per wave length, and frictional force on the wall of the tubule are investigated with aid of numerical computations and their outcomes are demonstrated graphically. A comprehensive analysis for comparison of Perturb and numerical solution is done. This analysis validates the analytical solution.

Influence of metachronal wave on hyperbolic tangent fluid model with inclined magnetic field

2019 ◽  
Vol 16 (09) ◽  
pp. 1950139 ◽  
Author(s):  
Safia Akram ◽  
Farkhanda Afzal ◽  
Muhammad Imran
Keyword(s):  
Newtonian Fluid ◽  
Fluid Model ◽  
Perturbation Technique ◽  
Pressure Rise ◽  
Weissenberg Number ◽  
Hyperbolic Tangent ◽  
Regular Perturbation ◽  
Tangent Hyperbolic Fluid ◽  
Wavelength Approximation ◽  
Induced Flow

The purpose of this paper is to discuss the theoretical study of a nonlinear problem of cilia induced flow by considering the fluid as anincompressible non-Newtonian fluid (hyperbolic tangent fluid) model by means of ciliated walls. The leading equations of present flow problem are simplified under the consideration of long-wavelength approximation. We have utilized regular perturbation technique to solve the simplified leading equations of hyperbolic tangent fluid model. The analytical solution is computed for stream function and numerical solution is computed for the rise in pressure. The characteristics of the ciliary system on tangent hyperbolic fluid are analyzed graphically and discussed in detail. It has been found that when [Formula: see text], the results of pressure rise coincide with the results of Newtonian fluid. It has also been observed that the size of the trapping bolus decreases with an increase in Hartmann number and Weissenberg number.

scholarly journals Convective Heat Transfer Analysis on Prandtl Fluid Model with Peristalsis

2013 ◽  
Vol 10 (4) ◽  
pp. 197-208 ◽  
Author(s):  
A. Alsaedi ◽  
Naheed Batool ◽  
H. Yasmin ◽  
T. Hayat
Keyword(s):  
Fluid Model ◽  
Perturbation Technique ◽  
Wave Length ◽  
Heat Transfer Analysis ◽  
Physical Parameters ◽  
Series Solutions ◽  
Regular Perturbation ◽  
Symmetric Channel ◽  
Long Wave ◽  
Fluid Parameter

The effects of magnetohydrodynamic (MHD) on peristaltic transport of Prandtl fluid in a symmetric channel have been studied under the assumptions of long wave length and low-Reynolds number. Channel walls are considered compliant in nature. Series solutions of axial velocity, stream function and temperature are given by using regular perturbation technique for small values of Prandtl fluid parameter. The effects of physical parameters on the velocity, streamlines and temperature are examined by plotting graphs.

Heat transfer analysis of bi-viscous ciliary motion fluid

2015 ◽  
Vol 08 (02) ◽  
pp. 1550026 ◽  
Author(s):  
Noreen Sher Akbar ◽  
Z. H. Khan
Keyword(s):  
Pressure Gradient ◽  
Fluid Model ◽  
Volume Flow Rate ◽  
Volume Flow ◽  
Heat Transfer Analysis ◽  
Viscous Effects ◽  
Closed Form Solutions ◽  
Long Wavelength ◽  
Symmetric Channel ◽  
Ciliary Motion

The impulsion system of cilia motion is deliberated by biviscosity fluid model. The problem of two-dimensional motion of biviscosity fluid privileged in a symmetric channel with ciliated walls is considered. The features of ciliary structures are resolute by the supremacy of viscous effects above inertial possessions by the long-wavelength and low Reynolds approximation. Closed-form solutions for the longitudinal pressure gradient, temperature and velocities are obtained. The pressure gradient and volume flow rate for different values of the biviscosity are also premeditated. The flow possessions for the biviscosity fluid resolute as a function of the cilia and metachronal wave velocity.

scholarly journals Influence of velocity slip and temperature jump conditions on the peristaltic flow of a Jeffrey fluid in contact with a Newtonian fluid

2017 ◽  
Vol 2 (2) ◽  
pp. 429-442 ◽  
Author(s):  
K. Vajravelu ◽  
S. Sreenadh ◽  
R. Saravana
Keyword(s):  
Temperature Field ◽  
Newtonian Fluid ◽  
Fluid Model ◽  
Wave Length ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Heat Conducting ◽  
Slip Parameter

AbstractIn this paper, we investigate the peristaltic transport of a two layered fluid model consisting of a Jeffrey fluid in the core region and a Newtonian fluid in the peripheral region. The channel is bounded by permeable heat conducting walls. The analysis is carried out in the wave reference frame under the assumptions of long wave length and low Reynolds number. The analytical expressions for stream function, temperature field, pressure-rise and the frictional force per wavelength in both the regions are obtained. The effects of the physical parameters associated with the flow and heat transfer are presented graphically and analyzed. It is noticed that the pressure rise decrease with increasing slip parameter β in the pumping region (ΔP > 0). The temperature field decreases with increasing Jeffrey number and the velocity slip parameter; whereas the temperature field increases with increasing thermal slip parameter. Furthermore, the size of the trapped bolus increases with increasing Jeffrey number and decreases with increasing slip parameter. We believe that this model can help in understanding the behavior of two immiscible physiological fluids in living objects.

scholarly journals Effect of an inclined magnetic field on peristaltic flow of Bingham plastic fluid in an inclined symmetric channel with slip conditions

2019 ◽  
pp. 1551-1574
Author(s):  
Farah Alaa Adnan ◽  
Ahmad M. Abdul Hadi
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Perturbation Technique ◽  
Pressure Rise ◽  
Physical Parameters ◽  
Inclined Magnetic Field ◽  
Bingham Plastic ◽  
Slip Conditions ◽  
Symmetric Channel ◽  
Plastic Fluid

This paper studies the influence of an inclined magnetic field on peristaltic transport of incompressible Bingham plastic fluid in an inclined symmetric channel with heat transfer and mass transfer. Slip conditions for heat transfer and concentration are employed. The formulation of the problem is presented through, the regular perturbation technique for small Bingham number Bn is used to find the final expression of streamfunction, the flow rate, heat distribution and concentration distribution. The numerical solution of pressure rise per wave length is obtained through numerical integration because its analytical solution is impossible. Also the trapping phenomenon is analyzed. The effect of the physical parameters of the problem are discussed and illustrated graphically.

scholarly journals Effect of magnetic field on peristaltic flow of Walters B fluid through a porous medium in a tapered asymmetric channel.

2017 ◽  
Vol 12 (12) ◽  
pp. 6889-6893
Author(s):  
Ahmed M Abdulhadi ◽  
Tamara S Ahmed
Keyword(s):  
Porous Medium ◽  
Perturbation Technique ◽  
Wave Length ◽  
Pressure Rise ◽  
Transverse Magnetic ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Regular Perturbation ◽  
Electrically Conducting ◽  
Walters B Fluid

The problem of peristaltic transport of an incompressible non-Newtonian fluid in a tapered a symmetric channel through a porous medium is presented under long-wave length and low Reynolds number assumptions, the fluid is considered to be Walters B fluid and electrically conducting by a transverse magnetic field.The tapered asymmetric channel in the flow induced by talking peristaltic wave imposed on the non-uniform boundary walls to possess different amplitudes and phases. Series solutions for stream function, axial velocity and pressure gradient are given using regular perturbation technique. Numerical computations have been performed for the pressure rise per wave length. The effect of the physical parameters of the problem on these distributions are discussed and illustrated graphically through a set of figures.

scholarly journals Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field

2008 ◽  
Vol 2008 ◽  
pp. 1-23 ◽  
Author(s):  
Kh. S. Mekheimer
Keyword(s):  
Magnetic Field ◽  
Current Distribution ◽  
Micropolar Fluid ◽  
Magnetic Force ◽  
Flow Analysis ◽  
Pressure Rise ◽  
Shear Stresses ◽  
Induced Magnetic Field ◽  
Symmetric Channel ◽  
Axial Pressure Gradient

We carry out the effect of the induced magnetic field on peristaltic transport of an incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effect of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines are further discussed.

scholarly journals Swimming like algae: biomimetic soft artificial cilia

2013 ◽  
Vol 10 (78) ◽  
pp. 20120666 ◽  
Author(s):  
Sina Sareh ◽  
Jonathan Rossiter ◽  
Andrew Conn ◽  
Knut Drescher ◽  
Raymond E. Goldstein
Keyword(s):  
Smart Materials ◽  
Fluid Transport ◽  
Metal Composite ◽  
Ionic Polymer ◽  
Piecewise Constant ◽  
Ciliary Motion ◽  
Thrust Generation ◽  
Artificial Cilia ◽  
Segmentation Pattern ◽  
Polymer Metal

Cilia are used effectively in a wide variety of biological systems from fluid transport to thrust generation. Here, we present the design and implementation of artificial cilia, based on a biomimetic planar actuator using soft-smart materials. This actuator is modelled on the cilia movement of the alga Volvox , and represents the cilium as a piecewise constant-curvature robotic actuator that enables the subsequent direct translation of natural articulation into a multi-segment ionic polymer metal composite actuator. It is demonstrated how the combination of optimal segmentation pattern and biologically derived per-segment driving signals reproduce natural ciliary motion. The amenability of the artificial cilia to scaling is also demonstrated through the comparison of the Reynolds number achieved with that of natural cilia.

Mathematical study for peristaltic flow of Williamson fluid in a curved channel

2015 ◽  
Vol 08 (01) ◽  
pp. 1550005 ◽  
Author(s):  
E. N. Maraj ◽  
Noreen Sher Akbar ◽  
S. Nadeem
Keyword(s):  
Fluid Model ◽  
Nonlinear Partial Differential Equations ◽  
Nonlinear Partial Differential Equation ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Curved Channel ◽  
Partial Differential ◽  
Williamson Fluid ◽  
Highly Nonlinear ◽  
Frame Transformation

In this paper, we have investigated the peristaltic flow of Williamson fluid in a curved channel. The governing equations of Williamson fluid model for curved channel are derived including the effects of curvature. The highly nonlinear partial differential equations are simplified by using the wave frame transformation, long wavelength and low Reynolds number assumptions. The reduced nonlinear partial differential equation is solved analytically with the help of homotopy perturbation method. The physical features of pertinent parameters have been discussed by plotting the graphs of pressure rise, velocity profile and stream functions.

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