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.

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.

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.

Effects of heat and mass transfer on the peristaltic motion of Sutterby fluid in an inclined channel

2020 ◽  
Vol 16 (6) ◽  
pp. 1357-1372 ◽  
Author(s):  
Faseeha Atlas ◽  
Maryiam Javed ◽  
Naveed Imran
Keyword(s):  
Heat Transfer ◽  
Magnetic Force ◽  
Fluid Model ◽  
The Body ◽  
Content Type ◽  
Long Wavelength ◽  
Symmetric Channel ◽  
Diseased Part ◽  
Fluid Parameter ◽  
Mass And Heat Transfer

PurposeThe purpose of this paper is to study the peristaltic mechanism of Sutterby fluid in a symmetric channel with mass and heat transfer.Design/methodology/approachMass and heat transfer are investigated in the assumption of Reynolds number and the long wavelength. The velocity, temperature and concentration terms for small values of Sutterby fluid parameter are achieved.FindingsGraphical results have been introduced for various important parameters. The effects of emerging key parameters are also highlighted.Originality/valueSutterby fluid model is one that represents the high polymer aqueous solutions. It is now strongly believed that any diseased part of the body would be cured better when exposed to magnetic force when compared with a drug. Peristalsis with mass and heat transfer occurs in treatment to destroy the unwanted tissues, hemodialysis and oxygenation process, etc.

scholarly journals Radially varying magnetic field effect on peristaltic motion with heat and mass transfer of a non-Newtonian fluid between two co-axial tubes

2018 ◽  
Vol 22 (6 Part A) ◽  
pp. 2449-2458 ◽  
Author(s):  
Nabil Eldabe ◽  
Mohamed Abou-Zeid
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Newtonian Fluid ◽  
Field Effect ◽  
Wave Length ◽  
Magnetic Field Effect ◽  
Internal Heat ◽  
Physical Parameters ◽  
Long Wave

The present analysis discusses the effects of thermal-diffusion with thermal radiation, Joule heating and internal heat generation on peristaltic flow of a non-Newtonian fluid obeying Jeffery model. Heat and mass transfer are also taken into consideration, the flow is between two co-axial tubes under the effect of radially varying magnetic field. The inner tube is uniform and at rest, while the outer tube is flexible with sinusoidal wave traveling. The problem is modulated mathematically by a system of partial differential equations which describes the equations of momentum, heat, and mass transfer. These equations are solved analytically under the assumptions of long wave length and low-Reynolds number in non-dimensional form. The solutions are obtained as a functions of physical parameters of the problem. The radially varying magnetic field effect on the temperature and concentration distributions is analyzed and it is shown that the increase of Hartman number tends to reduce the temperature, while it increases the concentration.

scholarly journals An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Riaz Ahmad ◽  
Asma Farooqi ◽  
Rashada Farooqi ◽  
Nawaf N. Hamadneh ◽  
Md Fayz-Al-Asad ◽  
...  
Keyword(s):  
Blood Flow ◽  
Shear Stress ◽  
Analytical Approach ◽  
Fluid Model ◽  
Perturbation Technique ◽  
Fluid Velocity ◽  
Weissenberg Number ◽  
Carreau Fluid ◽  
Regular Perturbation ◽  
Stenosed Artery

The current study provides an analytical approach to analyze the blood flow through a stenosed artery by using the Carreau fluid model. The flow governing equations are derived under the consideration of mild stenosis. Mathematical analysis has been carried out by considering the blood as non-Newtonian nature. Then, the analytical solution has been investigated by using the regular perturbation technique. The solutions obtained by this perturbation are up to the second-order in dimensionless Weissenberg number We . The performed computations of various parameter values such as velocity, wall shear stress, shear stress, and resistance impedance at the stenotic throat are discussed in detail for different values of Weissenberg number We . The obtained results demonstrate that for shear-thinning fluid, the fluid velocity increases with the increasing parameter m while opposite behavior is observed with the increase in We . Hence, the presented numerical analysis reveals many aspects of the flow by considering the blood as a non-Newtonian Carreau fluid model, and the presented model can be equally applicable to other bio-mathematical studies.

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.

Numerical Examination on Impact of Hall Current on Peristaltic Flow of Eyring-Powell Fluid under Ohmic-Thermal Effect with Slip conditions

2022 ◽  
Vol 18 ◽  
Author(s):  
Maria Yasin ◽  
Sadia Hina ◽  
Rahila Naz ◽  
Thabet Abdeljawad ◽  
Muhammad Sohail
Keyword(s):  
Thermal Effect ◽  
Hall Current ◽  
Perturbation Technique ◽  
Closed Form Solution ◽  
Form Solution ◽  
Regular Perturbation ◽  
Long Wavelength ◽  
Slip Conditions ◽  
Fluid Parameter ◽  
Opposite Behavior

Aims:: This article is intended to investigate and determine combined impact of Slip and Hall current on Peristaltic transmission of Magneto-hydrodynamic (MHD) Eyring-Powell fluid. Background: The hall term arises taking strong force-field under consideration. Velocity, thermal and concentration slip conditions are applied. Energy equation is modeled by considering Joule-thermal effect. To observe non-Newtonian behavior of fluid the constitutive equations of Eyring-Powell fluid is encountered. Objective: Flow is studied in a wave frame of reference travelling with velocity of wave. The mathematical modeling is done by utilizing adequate assumptions of long wavelength and low Reynolds number. Method: The closed form solution for momentum, temperature and concentration distribution is computed analytically by using regular perturbation technique for small fluid parameter(A). Results: Graphical results are presented and discussed in detail to analyze behavior of sundry parameters on flow quantities (i.e. velocity, temperature and concentration profile). It is noticed that Powell-Eyring fluid parameters (A,B) have a significant role on the outcomes. Conclusion: The fluid parameter A magnifies the velocity profile whereas, the other fluid parameter B shows the opposite behavior.

Peristaltic Transport of a Hyperbolic Tangent Fluid Model in an Asymmetric Channel

2009 ◽  
Vol 64 (9-10) ◽  
pp. 559-567 ◽  
Author(s):  
Sohail Nadeem ◽  
Safia Akram
Keyword(s):  
Pressure Gradient ◽  
Fluid Model ◽  
Pressure Rise ◽  
Weissenberg Number ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Governing Equations ◽  
Hyperbolic Tangent ◽  
Regular Perturbation ◽  
Narrow Part

In the present analysis, we have modeled the governing equations of a two dimensional hyperbolic tangent fluid model. Using the assumption of long wavelength and low Reynolds number, the governing equations of hyperbolic tangent fluid for an asymmetric channel have been solved using the regular perturbation method. The expression for pressure rise has been calculated using numerical integrations. At the end, various physical parameters have been shown pictorially. It is found that the narrow part of the channel requires a large pressure gradient, also in the narrow part the pressure gradient decreases with the increase in Weissenberg number We and channel width d.

Dispersion coefficient in an electro-osmotic flow of a viscoelastic fluid through a microchannel with a slowly varying wall zeta potential

2018 ◽  
Vol 839 ◽  
pp. 348-386 ◽  
Author(s):  
J. C. Arcos ◽  
F. Méndez ◽  
E. G. Bautista ◽  
O. Bautista
Keyword(s):  
Dispersion Coefficient ◽  
Fluid Model ◽  
Perturbation Technique ◽  
Debye Length ◽  
Rheological Behaviour ◽  
Governing Equations ◽  
Regular Perturbation ◽  
Axial Distribution ◽  
Osmotic Flow ◽  
Electro Osmotic Flow

The dispersion coefficient of a passive solute in a steady-state pure electro-osmotic flow (EOF) of a viscoelastic liquid, whose rheological behaviour follows the simplified Phan-Thien–Tanner (sPTT) model, along a parallel flat plate microchannel, is studied. The walls of the microchannel are assumed to have modulated and low $\unicode[STIX]{x1D701}$ potentials, which vary slowly in the axial direction in a sinusoidal manner. The flow field required to obtain the dispersion coefficient was solved using the lubrication approximation theory (LAT). The solution of the electric potential is based on the Debye–Hückel approximation for a symmetric $(z:z)$ electrolyte. The viscoelasticity of the fluid is observed to notably amplify the axial distribution of the effective dispersion coefficients due to the variation in the $\unicode[STIX]{x1D701}$ potentials of the walls. The problem was formulated for two cases: when the Debye layer thickness (EDL) was on the order of unity (thick EDL) and in the limit where the thickness of the EDL was very small compared with the height of the microchannel (thin EDL limit). Due to the coupling between the nonlinear governing equations and the sPTT fluid model, they were replaced by their approximate linearized forms and solved in the limit of $\unicode[STIX]{x1D700}\ll 1$ using the regular perturbation technique. Here $\unicode[STIX]{x1D700}$ is the amplitude of the sinusoidal function of the $\unicode[STIX]{x1D701}$ potentials. Additionally, the numerical solution of the simplified governing equations was also obtained for $\unicode[STIX]{x1D700}=O(1)$ and compared with the approximate solution, showing excellent agreement for $0\leqslant \unicode[STIX]{x1D700}\leqslant 0.3$. Note that the dispersion coefficient primarily depends on the Deborah number, on the ratio of the half-height of the microchannel to the Debye length, and on the assumed variation in the $\unicode[STIX]{x1D701}$ potentials of the walls.

scholarly journals MHD Free Convection from a Semi-infinite Vertical Porous Plate with Diffusion-Thermo Effect

2021 ◽  
Vol 12 (6) ◽  
pp. 7685-7696
Keyword(s):  
Mass Transfer ◽  
Chemical Reaction ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Physical Parameters ◽  
Regular Perturbation ◽  
Dufour Effect ◽  
Vertical Porous Plate ◽  
Fluid Concentration ◽  
First Order Chemical Reaction

An analytical solution for two-dimensional unsteady MHD free convective mass transfer flows of viscous incompressible optically thin fluid past a semi-infinite vertical porous plate in the presence of thermal radiation and chemical reaction is presented in this paper. A uniform magnetic field is applied normally to the plate with a first-order chemical reaction. The non-dimensional governing equations are solved analytically by using the regular perturbation technique. The effects of various physical parameters like radiation parameter Q, Dufour effect Du, chemical reaction parameter K, thermal Grashof number Gr, Hartmann number M, porosity parameter k, etc., are studied and demonstrated graphically. One of the significant findings of this analysis includes that an intensification of the chemical reaction effect causes a downfall in the fluid concentration. In contrast, another important outcome of the present study is that the rate of heat transfer and shear stress at the wall increases under the diffusion thermo effect or Dufour effect. Still, it tends to fall for high radiation. Further, the rate of mass transfer rises under the chemical reaction effect.

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