scholarly journals Analytical and numerical treatment to study the effects of hall currents with viscous dissipation, heat absorpation and chemical reaction on peristaltic flow of Carreau nanofluid

2019 ◽  
pp. 309-309
Author(s):  
T. Nabil ◽  
Shaimaa Ramadan ◽  
Amera Awad
Keyword(s):  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Perturbation Technique ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Physical Parameters ◽  
Long Wavelength ◽  
Linear Partial Differential Equations ◽  
Carreau Nanofluid ◽  
Flexible Walls

The peristaltic flow of Carreau nanofluid with heat and mass transfer through porous medium inside a symmetric horizontal channel with flexible walls is investigated. The Hall currents with viscous dissipation, heat absorption and chemical reaction are considered, the system is stressed by a uniform strong magnetic field. The problem is modulated mathematically by a system of non linear partial differential equations which describe the motion, heat and nanoparticles phenomenon of the fluid. These equations with subjected boundary conditions are transferred to a dimensionless form and simplified under the assumptions of long wavelength and low Reynolds number, then solved analytically by using perturbation technique for small Weissenberg number. In other word these equations are solved also numerically by using Rung-Kutta-Merson method with Newton iteration in a shooting and matching technique. The effects of the emerging physical parameters of the problem on the velocity, temperature and nanoparticles phenomena are discussed numerically for both techniques used for solutions and illustrated graphically through a set of figures. It is found that this problem play a dramatic role in controlling the solutions. A comparison between the obtained solutions from both methods is made.

scholarly journals Peristaltic Flow and Heat Transfer of a Conducting Phan-Thien-Tanner Fluid in an Asymmetric Channel – Application to Chyme Movement in Small Intestine

2016 ◽  
Vol 21 (3) ◽  
pp. 713-736 ◽  
Author(s):  
K. Vajravelu ◽  
S. Sreenadh ◽  
S. Dhananjaya ◽  
P. Lakshminarayana
Keyword(s):  
Heat Transfer ◽  
Temperature Field ◽  
Magnetic Parameter ◽  
Perturbation Technique ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Flow And Heat Transfer ◽  
Permeability Parameter

Abstract In this paper, the influence of heat transfer on the peristaltic flow of a conducting Phan-Thien-Tanner fluid in an asymmetric channel with porous medium is studied. The coupled nonlinear governing differential equations are solved by a perturbation technique. The expressions for the temperature field, the stream function, the axial velocity, and the pressure gradient are obtained. The effects of the various physical parameters such as the magnetic parameter M, the permeability parameter σ, the Brinkman number Br and the Weissenberg number We on the pumping phenomenon are analyzed through graphs and the results are discussed in detail. It is observed that the velocity and the pressure are decreased with increasing the magnetic parameter M whereas the effect of the parameter M on the temperature field is quite the opposite.

scholarly journals MHD Peristaltic Transport of Bingham Blood Fluid with Heat and Mass Transfer Through a Non-Uniform Channel

2020 ◽  
Vol 77 (2) ◽  
pp. 145-159
Author(s):  
Nabil Tawfik Eldabe ◽  
Mohamed Abouzeid ◽  
Hamida A Shawky
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Perturbation Technique ◽  
Physical Parameters ◽  
Soret And Dufour Effects ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
Uniform Channel ◽  
Homotopy Perturbation Technique

In the present work, the flow of non-Newtonian Bingham blood fluid through non-uniform channel is investigated. The fluid is electrically conducting, and the external uniform magnetic field is applied on this motion. The heat and mass transfer are taken in consideration, so, Soret and Dufour effects are studied. The problem is modulated mathematically by a system of non-linear partial differential equations which govern the velocity, temperature and concentration distributions. The system of these equations is simplified under the assumptions of long wavelength and low Reynolds number, then it is solved analytically by using homotopy perturbation technique. These distributions are obtained as a function of the physical parameters of the problem. The effects of these parameters on the obtained solutions are discussed numerically and illustrated graphically through a set of figures. These parameters play an important role to control the values of solutions. The used Bingham model is applicable for the physiological transportation of blood in arteries.

scholarly journals Convective Heat/Mass Transfer Analysis on Johnson-Segalman Fluid in a Symmetric Curved Channel with Peristalsis: Engineering Applications

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1475
Author(s):  
Humaira Yasmin ◽  
Naveed Iqbal ◽  
Aiesha Hussain
Keyword(s):  
Newtonian Fluid ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Concentration Profiles ◽  
Convective Conditions ◽  
Curved Channel ◽  
Regular Perturbation ◽  
Flexible Walls ◽  
Physical Level ◽  
Parameter Values

The peristaltic flow of Johnson–Segalman fluid in a symmetric curved channel with convective conditions and flexible walls is addressed in this article. The channel walls are considered to be compliant. The main objective of this article is to discuss the effects of curvilinear of the channel and heat/mass convection through boundary conditions. The constitutive equations for Johnson–Segalman fluid are modeled and analyzed under lubrication approach. The stream function, temperature, and concentration profiles are derived. The analytical solutions are obtained by using regular perturbation method for significant number, named as Weissenberg number. The influence of the parameter values on the physical level of interest is outlined and discussed. Comparison is made between Jhonson-Segalman and Newtonian fluid. It is concluded that the axial velocity of Jhonson-Segalman fluid is substantially higher than that of Newtonian fluid.

scholarly journals Peristaltic transport of Johnson–Segalman fluid in a curved channel with compliant walls

2012 ◽  
Vol 17 (3) ◽  
pp. 297-311 ◽  
Author(s):  
Sadia Hina ◽  
Tasawar Hayat ◽  
Saleem Asghar
Keyword(s):  
Reynolds Number ◽  
Mathematical Analysis ◽  
Channel Wall ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Peristaltic Transport ◽  
Curved Channel ◽  
Long Wavelength ◽  
Channel Effects ◽  
Compliant Walls

The present investigation deals with the peristaltic flow of an incompressible Johnson–Segalman fluid in a curved channel. Effects of the channel wall properties are taken into account. The associated equations for peristaltic flow in a curved channel are modeled. Mathematical analysis is simplified under long wavelength and low Reynolds number assumptions. The solution expressions are established for small Weissenberg number. Effects of several embedded parameters on the flow quantities are discussed.

scholarly journals Impact of nanofluids and magnetic field on the peristaltic transport of a couple stress fluid in an asymmetric channel with different wave forms

2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1407-1422
Author(s):  
Safia Akram ◽  
Farkhanda Afzal ◽  
Qamar Afzal
Keyword(s):  
Magnetic Field ◽  
Couple Stress ◽  
Peristaltic Flow ◽  
Couple Stress Fluid ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Nanoparticle Concentration ◽  
Long Wavelength ◽  
Wave Forms ◽  
Linear Differential

The present article deals with the effects of nanoparticles and magnetic field on the peristaltic flow of a couple stress fluid in an asymmetric channel with different wave forms. Mathematical modelling for 2-D and two directional flows of a couple stress fluid along with nanofluid are first given and then simplified under the assumptions of long wavelength and low Reynolds number approximation. After invoking these approximations we get coupled non-linear differential equations. The exact solutions of temperature distribution, the nanoparticle concentration, velocity, stream function and pressure gradient are calculated. Finally graphical results of various physical parameters of interest are discussed to examine the behavior of flow quantities.

scholarly journals Energy and Temperature-Dependent Viscosity Analysis on Magnetized Eyring-Powell Fluid Oscillatory Flow in a Porous Channel

Energies ◽  
2021 ◽  
Vol 14 (23) ◽  
pp. 7829
Author(s):  
Meng Yang ◽  
Munawwar Ali Abbas ◽  
Wissam Sadiq Khudair
Keyword(s):  
Thermal Radiation ◽  
Perturbation Technique ◽  
Three Dimensional ◽  
Weissenberg Number ◽  
Physical Parameters ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Engineering Sciences ◽  
Dependent Viscosity ◽  
The Impact

In this research, we studied the impact of temperature dependent viscosity and thermal radiation on Eyring Powell fluid with porous channels. The dimensionless equations were solved using the perturbation technique using the Weissenberg number (ε ≪ 1) to obtain clear formulas for the velocity field. All of the solutions for the physical parameters of the Reynolds number (Re), magnetic parameter (M), Darcy parameter (Da) and Prandtl number (Pr) were discussed through their different values. As shown in the plots the two-dimensional and three-dimensional graphical results of the velocity profile against various pertinent parameters have been illustrated with physical reasons. The results revealed that the temperature distribution increases for higher Prandtl and thermal radiation values. Such findings are beneficial in the field of engineering sciences.

Influence of Heat and Mass Transfer on the Peristaltic Transport of a Phan-Thien–Tanner Fluid

2013 ◽  
Vol 68 (12) ◽  
pp. 751-758 ◽  
Author(s):  
Tasawar Hayat ◽  
Saima Noreen ◽  
Muhammad Qasim
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Reynolds Number ◽  
Heat And Mass Transfer ◽  
Series Solution ◽  
Flow System ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Induced Magnetic Field ◽  
Long Wavelength

In this paper, we discuss the effects of heat and mass transfer on the peristaltic flow in the presence of an induced magnetic field. Constitutive equations of a Phan-Thien-Tanner fluid are utilized in the mathematical description. Mathematical modelling is based upon the laws of mass, linear momentum, energy, and concentration. Relevant equations are simplified using long wavelength and low Reynolds number assumptions. A series solution is presented for small Weissenberg number. Variations of emerging parameters embedded in the flow system are discussed.

scholarly journals Effects of Convective Conditions and Chemical Reaction on Peristaltic Flow of Eyring-Powell Fluid

2014 ◽  
Vol 11 (4) ◽  
pp. 221-233 ◽  
Author(s):  
T. Hayat ◽  
Anum Tanveer ◽  
Humaira Yasmin ◽  
A. Alsaedi
Keyword(s):  
Reynolds Number ◽  
Chemical Reaction ◽  
Peristaltic Flow ◽  
Convective Conditions ◽  
Soret And Dufour Effects ◽  
Long Wavelength ◽  
First Order ◽  
Symmetric Channel ◽  
Order Chemical Reaction ◽  
First Order Chemical Reaction

This paper addresses the peristaltic flow of Eyring-Powell fluid in a symmetric channel with convective conditions. The Soret and Dufour effects are considered. Impact of first order chemical reaction is seen. The channel walls are of compliant nature. Long wavelength and low Reynolds number concepts are implemented. Resulting problems are solved for the stream function, temperature and concentration. Graphical results are presented and discussed in detail for various pertinent parameters.

scholarly journals MHD Effect on Peristaltic Transport for Rabinowitsch Fluid through A Porous Medium in Cilia Channel

2020 ◽  
pp. 1461-1472
Author(s):  
Saba S. Hasen ◽  
Ahmed M. Abdulhadi
Keyword(s):  
Porous Medium ◽  
Hartmann Number ◽  
Perturbation Technique ◽  
Nonlinear Partial Differential Equations ◽  
Reynold Number ◽  
Peristaltic Flow ◽  
Mass Motion ◽  
Governing Equations ◽  
Long Wavelength ◽  
The Magnetic Field

This paper is employed to discuss the effects of the magnetic field and heat transfer on the peristaltic flow of Rabinowitsch fluid through a porous medium in the cilia channel. The governing equations (mass, motion, and energy) are formulated and then the assumptions of long wavelength and low Reynold number are used for simplification. The velocity field, pressure gradient, temperature, and streamlines are obtained when the perturbation technique is applied to solve the nonlinear partial differential equations. The study shows that the velocity is decreased with increasing Hartmann number while it is decreased with increasing the porosity.

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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