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

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.

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MHD Nanofluids in a Permeable Channel with Porosity

Symmetry ◽

10.3390/sym11030378 ◽

2019 ◽

Vol 11 (3) ◽

pp. 378 ◽

Cited By ~ 11

Author(s):

Ilyas Khan ◽

Aisha Alqahtani

Keyword(s):

Magnetic Parameter ◽

Flow Direction ◽

Perturbation Technique ◽

Closed Form Solution ◽

Form Solution ◽

Convection Flow ◽

Temperature Profiles ◽

Uniform Temperature ◽

One Dimensional ◽

Physical Conditions

This paper introduces a mathematical model of a convection flow of magnetohydrodynamic (MHD) nanofluid in a channel embedded in a porous medium. The flow along the walls, characterized by a non-uniform temperature, is under the effect of the uniform magnetic field acting transversely to the flow direction. The walls of the channel are permeable. The flow is due to convection combined with uniform suction/injection at the boundary. The model is formulated in terms of unsteady, one-dimensional partial differential equations (PDEs) with imposed physical conditions. The cluster effect of nanoparticles is demonstrated in the C 2 H 6 O 2 , and H 2 O base fluids. The perturbation technique is used to obtain a closed-form solution for the velocity and temperature distributions. Based on numerical experiments, it is concluded that both the velocity and temperature profiles are significantly affected by ϕ . Moreover, the magnetic parameter retards the nanofluid motion whereas porosity accelerates it. Each H 2 O -based and C 2 H 6 O 2 -based nanofluid in the suction case have a higher magnitude of velocity as compared to the injections case.

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Squeeze Film Problems of Long Partial Journal Bearings for Non-Newtonian Couple Stress Fluids with Pressure-Dependent Viscosity

Zeitschrift für Naturforschung A ◽

10.5560/zna.2011-0009 ◽

2011 ◽

Vol 66 (8-9) ◽

pp. 512-518 ◽

Cited By ~ 1

Author(s):

Jaw-Ren Lin ◽

Li-Ming Chu ◽

Chi-Ren Hung ◽

Rong-Fang Lu

Keyword(s):

Couple Stress ◽

Load Capacity ◽

Perturbation Technique ◽

Closed Form Solution ◽

Journal Bearings ◽

Form Solution ◽

Squeeze Film ◽

Pressure Dependent Viscosity ◽

Dependent Viscosity ◽

Couple Stress Fluids

Abstract According to the experimental work of C. Barus in Am. J. Sci. 45, 87 (1893) [1], the dependency of liquid viscosity on pressure is exponential. Therefore, we extend the study of squeeze film problems of long partial journal bearings for Stokes non-Newtonian couple stress fluids by considering the pressure-dependent viscosity in the present paper. Through a small perturbation technique, we derive a first-order closed-form solution for the film pressure, the load capacity, and the response time of partial-bearing squeeze films. It is also found that the non-Newtonian couple-stress partial bearings with pressure-dependent viscosity provide better squeeze-film characteristics than those of the bearing with constant-viscosity situation.

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Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns-2019-0226 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Aamir Ali ◽

Sana Mumraiz ◽

Hafiz Junaid Anjum ◽

Saleem Asghar ◽

Muhammad Awais

Keyword(s):

Magnetic Field ◽

Viscous Dissipation ◽

Hall Current ◽

Perturbation Technique ◽

Pressure Rise ◽

Biomedical Science ◽

Slip Parameter ◽

Peristaltic Activity ◽

Bolus Size ◽

Opposite Behavior

Abstract The current research explores the slippage phenomenon in hydromagnetic peristaltic activity of a non-Newtonian fluid with porous media in an asymmetric channel. The analysis is performed under the influence of thermal radiation, Hall current, Joule heating and viscous dissipation. The problem is formulated with the assumption of small Reynolds number and large wavelength. Analytical solutions are achieved through perturbation technique and the impacts of involved influential parameters are examined through graphs. It is observed that the pressure gradient rises with fourth grade fluid parameter and decreases with increasing phase difference. The pressure rise increases in pumping regime and decreases in co-pumping regime for increasing magnetic field parameter, whereas it has opposite effects for hall parameter. It is also noted that the velocity drops in the middle of the channel, while it increases near the boundaries for growing slip parameter and magnetic field parameters and it has the opposite behavior for hall and permeability parameters. The slip parameter increases the temperature of the fluid and decreases the concentration. Also, in trapping phenomena, the bolus size reduces by enlarging Deborah parameter. The present research has profound use in biomedical science, polymer technology and artificial heart polishing.

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Rayleigh-Benard-Marangoni Ferro Convection with Concentration and Temperature Dependent Viscosity

International Journal of Recent Technology and Engineering - 2 ◽

10.35940/ijrte.b1087.0782s619 ◽

2019 ◽

Vol 8 (2S6) ◽

pp. 458-461

Keyword(s):

Perturbation Technique ◽

Temperature Perturbation ◽

Temperature Dependent ◽

Regular Perturbation ◽

Rigid Boundary ◽

Temperature Dependent Viscosity ◽

Fluid Parameter ◽

Dependent Viscosity ◽

Surface Tension Forces ◽

Rayleigh Benard

The inception of Rayleigh-Benard-Marangoni (RBM) Ferro convection with concentration and temperature dependent viscosity is investigated theoretically and the resultant is further enhanced numerically using Galerkin method. We observed that the effect of Rayleigh number together with internal heating suppressed the onset of RBM Ferro convection. The nonlinear nature of magnetic fluid parameter has no impact on the onset of Ferro convection. The latent values found numerically by Galerkin weighted Residual technique and regular perturbation technique are found to be alike, indicating the fact that the obtained solutions are near exact in nature. The result of the BC’s for lower and upper free rigid boundary at temperature dependent surface tension forces are found to be immaculately insulate to temperature perturbation.

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Modeling of Coupled Roll and Yaw Damping of a Floating Body in Waves

Mathematical Problems in Engineering ◽

10.1155/2007/96373 ◽

2007 ◽

Vol 2007 ◽

pp. 1-17 ◽

Cited By ~ 1

Author(s):

S. K. Das ◽

S. N. Das

Keyword(s):

Perturbation Technique ◽

Mathematical Formulation ◽

Closed Form Solution ◽

Added Mass ◽

Form Solution ◽

Floating Body ◽

Step Size ◽

Weakly Nonlinear ◽

Mass Moment ◽

Small Distortion

A mathematical model is described to investigate the damping moment of weakly nonlinear roll and yaw motions of a floating body in time domain under the action of sinusoidal waves. The mathematical formulation for added mass moment of inertia and damping is presented by approximating time-dependent coefficients and forcing moments when small distortion holds. Using perturbation technique, we obtain orderwise equations wherein the closed-form solution is obtained for zeroth-order case, and for higher-order cases we resort to numerical integration using Runge-Kutta method with adaptive step-size algorithm. In order to analyze the model result, we perform numerical experiment for a vessel of 19190 tons under the beam wave of 1 m height and frequency 0.74 rad/s. Closer inspection in damping analysis reveals that viscous effect becomes significant for roll damping; whereas for yaw damping, contribution from added mass variation becomes significant.

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BIOMECHANICS OF ELECTRO-KINETICALLY MODULATED PERISTALTIC MOTION OF BIO-FLUID THROUGH A DIVERGENT COMPLEX WAVY CHANNEL

Canadian Journal of Physics ◽

10.1139/cjp-2019-0476 ◽

2020 ◽

Author(s):

Khurram Javid ◽

Zeeshan Asghar ◽

Fiaz Ur Rehman

Keyword(s):

Fluid Model ◽

Three Dimensional ◽

Closed Form Solution ◽

Volumetric Flow Rate ◽

Axial Direction ◽

Mechanical Efficiency ◽

Form Solution ◽

Long Wavelength ◽

Electro Magnetic ◽

Physical Quantities

The utility of electrically driven peristaltic flow to enhance the mechanical efficiency of a biological system is diverse. This motivates us to discuss the mathematical modelling of magnetic fluid flow via complex wavy walls. Additionally, an electric field is also applied in the axial direction. The non-Newtonian couple stress fluid model is used here. The analysis is performed under the Debye–Hückel linearization. The governing equations are modelled under long wavelength and low Reynolds number assumption. A closed form solution is obtained for the stream function, which is further used to calculate other physical quantities. To observe the remarkable effects of eminent parameters on the velocity distribution and volumetric flow rate, we have plotted graphs in both two- and three-dimensional axes. Comparison between simple and complex peristaltic wave is also provided. This study is very useful for designing a non-uniform micro-peristaltic pump, in which a flow can be controlled by electro-magnetic forces.

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Effects of Convection on Sisko Fluid with Peristalsis in an Asymmetric Channel

Mathematical and Computational Applications ◽

10.3390/mca25030052 ◽

2020 ◽

Vol 25 (3) ◽

pp. 52

Author(s):

Naveed Iqbal ◽

Humaira Yasmin ◽

Bawfeh K. Kometa ◽

Adel A. Attiya

Keyword(s):

Heat Transfer ◽

Shear Thickening ◽

Heat Transfer Process ◽

Asymmetric Channel ◽

Regular Perturbation ◽

Sisko Fluid ◽

Long Wavelength ◽

Flow And Heat Transfer ◽

Fluid Parameter ◽

Transfer Equations

This article deals with Sisko fluid flow exhibiting peristaltic mechanism in an asymmetric channel with sinusoidal wave propagating down its walls. The channel walls in heat transfer process satisfy the convective conditions. The flow and heat transfer equations are modeled and non-dimensionalized. Analysis has been carried out subject to low Reynolds number and long wavelength considerations. Analytical solution is obtained by using the regular perturbation method by taking Sisko fluid parameter as a perturbed parameter. The shear-thickening and shear-thinning properties of Sisko fluid in the present nonlinear analysis are examined. Comparison is provided between Sisko fluid outcomes and viscous fluids. Velocity and temperature distributions, pressure gradient and streamline pattern are addressed with respect to different parameters of interest. Trapping and pumping processes have also been studied. As a result, the thermal analysis indicates that the implementation of a rise in a non-Newtonian parameter, the Biot numbers and Brinkman number increases the thermal stability of the liquid.

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Convective Heat Transfer Analysis on Prandtl Fluid Model with Peristalsis

Applied Bionics and Biomechanics ◽

10.1155/2013/920276 ◽

2013 ◽

Vol 10 (4) ◽

pp. 197-208 ◽

Cited By ~ 13

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.

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