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 On the Influence of Soret and Dufour Effects on MHD Free Convective Heat and Mass Transfer Flow over a Vertical Channel with Constant Suction and Viscous Dissipation

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Ime Jimmy Uwanta ◽  
Halima Usman
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Viscous Dissipation ◽  
Convective Heat ◽  
Vertical Channel ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Soret And Dufour Effects ◽  
Constant Suction ◽  
Dufour Number

The present paper investigates the combined effects of Soret and Dufour on free convective heat and mass transfer on the unsteady one-dimensional boundary layer flow over a vertical channel in the presence of viscous dissipation and constant suction. The governing partial differential equations are solved numerically using the implicit Crank-Nicolson method. The velocity, temperature, and concentration distributions are discussed numerically and presented through graphs. Numerical values of the skin-friction coefficient, Nusselt number, and Sherwood number at the plate are discussed numerically for various values of physical parameters and are presented through tables. It has been observed that the velocity and temperature increase with the increase in the viscous dissipation parameter and Dufour number, while an increase in Soret number causes a reduction in temperature and a rise in the velocity and concentration.

scholarly journals Rivlin-Ericksen Fluid in Tube of Varying Cross-section with Mass and Heat Transfer

2002 ◽  
Vol 57 (11) ◽  
pp. 863-873 ◽  
Author(s):  
Nabil T. El Dabe ◽  
Galal M. Moatimid ◽  
Hoda S. M. Ali
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Cross Section ◽  
Perturbation Technique ◽  
Equations Of Motion ◽  
Steady Motion ◽  
Physical Parameters ◽  
Mass And Heat Transfer

In this paper, the problem of heat and mass transfer due to the steady motion of a Rivlin- Ericksen fluid in tubes of varying cross-section is considered. Suction at tube walls is taken into account. Under the assumption that the deformations of the boundaries are small, the equations of motion have been solved by using a perturbation technique. The temperature and concentration distributions are obtained. The effects of various physical parameters are discussed. The Nusselt and Sherwood numbers are obtained. A set of figures for a quantitative illustration is presented.

scholarly journals Influence of Hall Current and Thermal Radiation on MHD Convective Heat and Mass Transfer in a Rotating Porous Channel with Chemical Reaction

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Dulal Pal ◽  
Babulal Talukdar
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Thermal Radiation ◽  
Heat And Mass Transfer ◽  
Hall Current ◽  
Perturbation Technique ◽  
Porous Channel ◽  
Physical Parameters ◽  
Shear Stresses ◽  
Resultant Velocity

A theoretical study is carried out to obtain an analytic solution of heat and mass transfer in a vertical porous channel with rotation and Hall current. A constant suction and injection is applied to the two insulating porous plates. A strong magnetic field is applied in the transverse direction. The entire system rotates with uniform angular velocity Ω about the axis normal to the plates. The governing equations are solved by perturbation technique to obtain the analytical results for velocity, temperature, and concentration fields and shear stresses. The steady and unsteady resultant velocities along with the phase differences for various values of physical parameters are discussed in detail. The effects of rotation, buoyancy force, magnetic field, thermal radiation, and heat generation parameters on resultant velocity, temperature, and concentration fields are analyzed.

MHD and Double Diffusion Effects on Heat and Mass Transfer in Non-Darcy Fluid Flows Over a Vertical Plate

2012 ◽  
Author(s):  
A. S. N. Murti ◽  
P. K. Kameswaran ◽  
T. Poorna Kantha ◽  
A. A. V. L. A. S. Acharyulu
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Vertical Plate ◽  
Fluid Flows ◽  
Double Diffusion ◽  
Integration Scheme ◽  
Physical Parameters ◽  
Transfer Rates ◽  
Linear Partial Differential Equations ◽  
Diffusion Effects

In the present paper we investigate double diffusion effects on mixed convective heat and mass transfer over a Newtonian vertical plate. Diffusion and chemical reaction terms are considered in the energy and concentration equations. A similarity transformation was used to convert governing non linear partial differential equations into ordinary. The dimensionless governing equations are solved numerically by using fourth-order Runge–Kutta integration scheme along with shooting technique. Detailed results for various physical parameters like velocity, temperature and concentration fields as well as the heat and mass transfer rates have been presented. In the absence of Magnetic and double diffusion effects our results are good in agreement with the results in the literature.

scholarly journals A note on the influence of heat and mass transfer on a peristaltic flow of a viscous fluid in a vertical asymmetric channel with wall slip

2012 ◽  
Vol 18 (3) ◽  
pp. 483-493 ◽  
Author(s):  
S. Srinivas ◽  
R. Muthuraj ◽  
J. Sakina
Keyword(s):  
Mass Transfer ◽  
Viscous Fluid ◽  
Heat And Mass Transfer ◽  
Wave Train ◽  
Perturbation Technique ◽  
Wall Slip ◽  
Peristaltic Flow ◽  
Long Wavelength ◽  
Wavelength Approximation ◽  
Energy Equations

This note deals with the influence of heat and mass transfer on peristaltic flow of an viscous fluid with wall slip condition. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitude and phase. The momentum and energy equations have been linearized under the assumption of long-wavelength approximation. The arising equations are solved by perturbation technique and the expressions for Temperature, Concentration, Velocity and Stream function are constructed. Graphical results are sketched for various embedded parameters and discussed in detail.

Non-Darcy Couette flow through a porous medium of magnetohydro-dynamic visco-elastic fluid with heat and mass transfer

2005 ◽  
Vol 83 (12) ◽  
pp. 1243-1265 ◽  
Author(s):  
Nabil TM Eldabe ◽  
S N Sallam
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Skin Friction ◽  
Heat And Mass Transfer ◽  
Perturbation Technique ◽  
Equations Of Motion ◽  
Transverse Magnetic ◽  
Physical Parameters ◽  
Parallel Plates ◽  
Elastic Fluid

We analyze the steady magnetohydrodynamic flow of an incompressible electrically conducting visco-elastic fluid through a porous medium between two porous parallel plates under the influence of a transverse magnetic field. We obtain an exact solution for the Brinkman–Forchheimer extension of Darcy's momentum equation for flow. We solve the equations of motion with a perturbation technique under the assumption that the Forchheimer number Fs = bν/u0 is small. We analyze heat and mass transfer in porous media. We obtain the skin friction τw, the Nusselt number Nu, and the Sherwood number Sh. Our numerical results show the effects of the physical parameters of our problem on the fluid flow as well as on the heat and mass transfer, on the skin friction, and on the rates of heat and mass transfer. PACS No.: 47.65.+a

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 Effect of Hall Currents on Convective Heat and Mass Transfer Flow of a Viscous Electrically Conducting Fluid in A Nonuniformly Heated Vertical Channel with Radiation

2020 ◽  
Vol 76 (2) ◽  
pp. 26-42
Author(s):  
Madduleti Nagasasikala ◽  
Bommanna Lavanya
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Axial Velocity ◽  
Perturbation Technique ◽  
Vertical Channel ◽  
Flow Region ◽  
Conducting Fluid ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Transfer Flow

In the present document we inspect the deportation study of heat and mass transfer flow of a viscous electrically conducting fluid in a vertical wavy channel under the influence of an inclined magnetic fluid with heat generating sources. The walls of the channels are perpetuated at constant temperature and concentration. The equations reign over the flow heat and concentration are solved by employing perturbation technique with a slope d of the wavy wall. The velocity, temperature and concentration distributions are investigated for a different value of Grashof number Hartmann number, Buoyancy ratio etc. The rate of heat and mass transfer are numerically estimated for a different variation of the governing parameters. It is found that higher the Lorentz force lesser the axial velocity in the flow region. An increase in the Hall parameter (m) enhances the axial velocity.

scholarly journals Soret and Dufour Effects on the Flow of Spilled Oil in the Soil

2019 ◽  
Vol 8 (4S2) ◽  
pp. 926-930
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Perturbation Technique ◽  
Soret And Dufour Effects ◽  
Dissipation Energy ◽  
Linear System Of Equations ◽  
Mass Transfer Processes ◽  
Oil Flow ◽  
Flow Heat ◽  
Non Linear System

Study about the movement of oil flow describing the transport of hydrocarbons dissolved in the water on soil are considered including the effects of viscous and Darcy dissipation, energy flux caused by both temperature gradient and concentration gradient on the unsteady convective heat and mass transfer in the subsurface. The resulting fluid flow, heat and mass transfer processes occurring in the subsurface described by coupled non-linear system of equations are simplified and solved using perturbation technique. Numerical results obtained are graphically portrayed and the importance of the parameters are given by its impact on the result.

scholarly journals Analysis of Heat and Mass Transfer on MHD Peristaltic Flow through a Tapered Asymmetric Channel

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
M. Kothandapani ◽  
J. Prakash ◽  
V. Pushparaj
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Flow Characteristics ◽  
Peristaltic Flow ◽  
Simple Problem ◽  
Asymmetric Channel ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Flow Through ◽  
Propagation Of Waves

This paper describes the peristaltic flow of an incompressible viscous fluid in a tapered asymmetric channel with heat and mass transfer. The fluid is electrically conducting fluid in the presence of a uniform magnetic field. The propagation of waves on the nonuniform channel walls to have different amplitudes and phase but with the same speed is generated the tapered asymmetric channel. The assumptions of low Reynolds number and long wavelength approximations have been used to simplify the complicated problem into a relatively simple problem. Analytical expressions for velocity, temperature, and concentration have been obtained. Graphically results of the flow characteristics are also sketched for various embedded parameters of interest entering the problem and interpreted.

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