Cattaneo–Christov heat flux effect on MHD peristaltic transport of Bingham Al2O3 nanofluid through a non-Darcy porous medium

2021 ◽  
pp. 1-26
Author(s):  
Nabil T.M. El-Dabe ◽  
Mohamed Y. Abou-Zeid ◽  
Mahmoud E. Oauf ◽  
Doaa R. Mostapha ◽  
Yasmeen M. Mohamed
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Relaxation Time ◽  
Axial Velocity ◽  
Soret Effect ◽  
Thermal Relaxation ◽  
Peristaltic Transport ◽  
Fluid Temperature ◽  
Mass Fluxes ◽  
Nanoparticles Concentration

The present investigation analyzes the influence of Cattaneo–Christov heat and mass fluxes on peristaltic transport of an incompressible flow. The fluid is obeying Bingham alumina nanofluid. The fluid flows between two co-axial vertical tubes. The system is expressed by a varying radially magnetic field with respect to the space. Soret effect and non-Darcy porous medium are taken into account. The governing system of equations is tackled by utilizing the approximations of long wavelength with low Reynolds number and with the help of homotopy perturbation method (HPM). It is noticed that the axial velocity magnifies with an increase in the value of Bingham parameter. Meanwhile, the value of the axial velocity reduces with the elevation in the value of the magnetic field parameter. On the other hand, the elevation in the value of thermal relaxation time leads to a reduction in the value of fluid temperature. Furthermore, increasing in the value of mass relaxation time parameter makes an enhancement in the value of nanoparticles concentration. It is noticed also that the size of the trapped bolus enhances with the increment in the value of Bingham parameter. The current study has many accomplishments in several scientific areas like medical industry, medicine, and others. Therefore, it represents the depiction of the gastric juice motion in the small intestine when an endoscope is inserted through it.

Flow between Stretchable Rotating Disks in an Anisotropic Porous Medium with Cattaneo Christov Heat Flux

2019 ◽  
Vol 393 ◽  
pp. 138-148
Author(s):  
K. Gowthami ◽  
P. Hari Prasad ◽  
B. Mallikarjuna ◽  
Oluwole Daniel Makinde
Keyword(s):  
Heat Flux ◽  
Porous Medium ◽  
Thermal Relaxation ◽  
Relaxation Parameter ◽  
Transport Processes ◽  
Rotation Parameter ◽  
Physical Parameters ◽  
Fluid Temperature ◽  
Anisotropic Porous Medium ◽  
Physical Quantities

A study on fully developed fluid flow between 2two stretchable disks in a 1porous medium is presented. The porous medium is assumed to be an anisotropic porous medium and described using Darcy’s model. Moreover Cattaneo - Christov heat flux 1model is used for heat transport processes. Numerical method 1is used to compute the solutions of non-dimensionalized equations and obtained results are discussed with the aid of graphs and table values on physical quantities (fluid velocity, fluid temperature, skin frication coefficients and Nusselt numbers) for various values of physical parameters, Darcy’ number in different directions, stretchable disk parameters, rotation parameter and thermal relaxation parameter. Increasing stretchable disks parameter reports opposite behavior on physical quantities at different disks. Positive and negative values of rotation parameter impact on physical quantities are presented and discussed. As increase in thermal relaxation parameter fluid temperature transfers in different directions between disks and Nusselt number values are enhanced at both disks.

scholarly journals Mass transfer and Cattaneo-Christov heat flux for a chemically reacting nanofluid in a porous medium between two rotary disks

2021 ◽  
Vol 25 (Spec. issue 2) ◽  
pp. 179-184
Author(s):  
Peter Habu ◽  
Noor Noor ◽  
Zailan Siri
Keyword(s):  
Heat Flux ◽  
Porous Medium ◽  
Thermal Radiation ◽  
Differential System ◽  
Thermal Relaxation ◽  
Fluid Temperature ◽  
Partial Differential System ◽  
Non Linear ◽  
Chemically Reacting ◽  
Increasing Functions

This paper examines the transport of a chemically reacting nanofluid in a porous medium between two rotary disks with Cattaneo-Christov?s heat flux. The non-linear ordinary differential system formed under Vonn Karman transformation of a non-linear partial differential system is solved via a shooting method with MATLAB bvp4c. The nanofluid thermodynamics profiles with variation in physical properties of thermal relaxation time, thermal radiation, porosity, and chemical reaction are observed. Axial, radial, and tangential velocities are found to be increasing functions of porous medium. A decrease in the fluid temperature is perceived as thermal radiation and thermal relaxation increase since more heat can be transported to neighboring surroundings. The concentration is enhanced with intensified Cattaneo-Christov?s thermal relaxation but it oscillates with reacting chemicals. The rotary disks bound the oscillating nanofluid from downward to up-ward directions and vice versa. The axial velocity represents the change in force due to porosity and radial stretching of the disks.

scholarly journals Peristaltic transport in a cylindrical tube through a porous medium

2000 ◽  
Vol 24 (4) ◽  
pp. 217-230 ◽  
Author(s):  
Elsayed F. El Shehawey ◽  
Wahed El Sebaei
Keyword(s):  
Porous Medium ◽  
Physical Parameter ◽  
Axial Velocity ◽  
Amplitude Ratio ◽  
Cylindrical Tube ◽  
Fluid Phase ◽  
Momentum Equation ◽  
Numerical Results ◽  
Peristaltic Transport ◽  
Permeability Parameter

The problem of peristaltic transport in a cylindrical tube through a porous medium has been investigated. A perturbation solution is obtained, which satisfies the momentum equation for the case in which the amplitude ratio is small. The results show that the fluid phase mean axial velocity increases with increasing the permeability parameterk. The phenomena of reflux is discussed. Numerical results are reported for various values of the physical parameter

scholarly journals Effect of Rotation and Magnetic Field through Porous Medium on Peristaltic Transport of a Jeffrey Fluid in Tube

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
S. R. Mahmoud
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Analytic Solution ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Jeffrey Fluid ◽  
Axial Pressure ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Axial Pressure Gradient

This paper is concerned with the analysis of peristaltic motion of a Jeffrey fluid in a tube with sinusoidal wave travelling down its wall. The effect of rotation, porous medium, and magnetic field on peristaltic transport of a Jeffrey fluid in tube is studied. The fluid is electrically conducting in the presence of rotation and a uniform magnetic field. An analytic solution is carried out for long wavelength, axial pressure gradient, and low Reynolds number considerations. The results for pressure rise and frictional force per wavelength were obtained, evaluated numerically, and discussed briefly.

Electromagneto-Thermoelastic Plane Waves in Solids With Thermal Relaxation

1972 ◽  
Vol 39 (1) ◽  
pp. 108-113 ◽  
Author(s):  
A. H. Nayfeh ◽  
S. Nemat-Nasser
Keyword(s):  
Magnetic Field ◽  
Relaxation Time ◽  
Thermal Field ◽  
Plane Waves ◽  
Electric Displacement ◽  
Thermal Relaxation ◽  
Displacement Current ◽  
Perturbation Techniques ◽  
Thermoelastic Waves ◽  
The Magnetic Field

Perturbation techniques are used to study the influence of small thermoelastic and magnetoelastic couplings on the propagation of plane electromagneto-thermoelastic waves in an unbounded isotropic medium. The thermal relaxation time of heat conduction, and the electric displacement current are included in the analysis. It is found that the thermal field may affect transverse motions, and that the magnetic field may affect motions that occur parallel to its line of action.

Rotating flow of Oldroyd-B fluid over stretchable surface with Cattaneo – Christov heat flux

2017 ◽  
Vol 27 (10) ◽  
pp. 2207-2222 ◽  
Author(s):  
M. Mustafa ◽  
T. Hayat ◽  
A. Alsaedi
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Relaxation Time ◽  
Three Dimensional ◽  
Thermal Relaxation ◽  
Thermal Relaxation Time ◽  
Rotating Flow ◽  
Fluid Temperature ◽  
Conduction Model ◽  
Content Type

Purpose The purpose of this paper is to analyze the heat transfer effects on the stretched flow of Oldroyd-B fluid in a rotating frame. Cattaneo–Christov heat conduction model is considered, which accounts for the influence of thermal relaxation time. Design/methodology/approach Based on scale analysis, the usual boundary layer approximations are used to simplify the governing equations. The equations so formed have been reduced to self-similar forms by similarity transformations. A powerful analytic approach, namely, homotopy analysis method (HAM), has been applied to present uniformly convergent solutions for velocity and temperature profiles. Findings Suitable values of the so-called auxiliary parameter in HAM are obtained by plotting h-curves. The results show that boundary layer thickness has an inverse relation with fluid relaxation time. The rotation parameter gives resistance to the momentum transport and enhances fluid temperature. Thermal boundary layer becomes thinner when larger values of thermal relaxation time are chosen. Originality/value To the authors’ knowledge, this is the first attempt to study the three-dimensional rotating flow and heat transfer of Oldroyd-B fluid.

Homotopy perturbation approach for Ohmic dissipation and mixed convection effects on non-Newtonian nanofluid flow between two co-axial tubes with peristalsis

2021 ◽  
pp. 1-11
Author(s):  
Nabil T. Eldabe ◽  
Mohamed Y. Abou-zeid ◽  
Adel Abosaliem ◽  
Ahmed Alana ◽  
Nada Hegazy
Keyword(s):  
Magnetic Field ◽  
Mixed Convection ◽  
Wave Length ◽  
Magnetic Field Effect ◽  
Internal Heat ◽  
Perturbation Approach ◽  
Fluid Temperature ◽  
Ohmic Dissipation ◽  
Homotopy Perturbation ◽  
Nanoparticles Concentration

In this study, the effects of radially varying magnetic field, internal heat generation and mixed convection with thermal radiation on peristaltic motion of a non-Newtonian fluid are investigated. The fluid used is third-grade model. The flow is through the gap between two co-axial vertical tubes under the effect of radially varying magnetic field. The outer tube is flexible with sinusoidal deformations. The problem is modulated mathematically by a system of partial differential equations which describes the equations of momentum, heat transfer and nanoparticles concentration which are simplified by using long wave length and low-Reynolds number assumptions. The closed solutions of fluid temperature and nanoparticle concentration are obtained, and the solution of velocity is obtained by using the homotopy perturbation method (HPM). The radially varying magnetic field effect on the axial velocity is discussed and it is shown that the increase of magnetic field parameter tends to reduce the fluid flow.

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