scholarly journals Insight into the Significance of Hall Current and Joule Heating on the Dynamics of Darcy–Forchheimer Peristaltic Flow of Rabinowitsch Fluid

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Ji-Huan He ◽  
Doaa R. Mostapha
Keyword(s):  
Mass Transfer ◽  
Joule Heating ◽  
Hall Current ◽  
Numerical Study ◽  
Peristaltic Flow ◽  
Peristaltic Transport ◽  
Physical Parameters ◽  
Maximum Height ◽  
Mean Flow ◽  
Mild Stenosis

This paper aims to present the significance of the Hall current and Joule heating impacts on a peristaltic flow of a Rabinowitsch fluid through tapered tube. The Darcy–Forchheimer scheme is used for a porous medium; a mild stenosis is considered to study the impacts of radiative heat transfer and chemical reactions. Convective conditions are postulated for heat and mass transfer. In the meantime, the slip conditions are presumed for the velocity distribution. Soret and Dufour features bring the coupled differential systems. The hypotheses of a long wavelength and low Reynolds number are employed to approximate the governing equations of motion, and finally the homotopy perturbation method is adopted for numerical study. Pumping characteristics are revealed and the trapping procedure correlated with peristaltic transport is elucidated. The present study is very important in many medical applications, such as the gastric juice motion in the small intestine and the flow of blood in arteries. The mechanism of peristaltic transport with mild stenosis has been exploited for industrial applications like sanitary fluid transport and blood pumps in heart-lung machine. The influences of various physical parameters of the problem are debated and graphically drawn across a set of figures. It is noted that the axial velocity is reduced with the increase of the Hartmann number. However, enhancing both the Rabinowitsch parameter and the Forchheimer parameter gives rise to the fluid velocity. As well, it is debated that Rabinowitsch fluid produces a cubic term of pressure gradient. Therefore, the relation between mean flow rate and the pressure rise does not stay linear. It is recognized that the temperature rises with the enhancement of both Dufour number and Soret number. Furthermore, it is illustrated that the concentration impedes with the increase of the mass transfer Biot number. Also, it is revealed that the trapped bolus contracts in size by enlarging the maximum height of stenosis.

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.

scholarly journals Effects of hall currents with heat and mass transfer on the peristaltic transport of a Casson fluid through a porous medium in a vertical circular cylinder

2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1067-1081
Author(s):  
Nabil El-Dabe ◽  
Galal Moatimid ◽  
Mona Mohamed ◽  
Yasmeen Mohamed
Keyword(s):  
Mass Transfer ◽  
Circular Cylinder ◽  
Heat And Mass Transfer ◽  
Fluid Motion ◽  
Casson Fluid ◽  
Peristaltic Transport ◽  
Heat Radiation ◽  
Physical Parameters ◽  
Shooting Technique ◽  
Basic Behavior

In the current paper, the peristaltic transport of a non-Newtonian fluid obeying a Casson model with heat and mass transfer inside a vertical circular cylinder is studied. The considered system is affected by a strong horizontal uniform magnetic field together with the heat radiation and the Hall current. The problem is modulated mathematically by a system of PDE that describe the basic behavior of the fluid motion. The boundary value problem is analytically solved with the appropriate boundary conditions in accordance with the special case, in the absence of the Eckert number. The solutions are obtained in terms of the modified Bessel function of the first kind. Again, in the general case, the system is solved by means of the homotopy perturbation and then numerically through the Runge-Kutta Merson with a shooting technique. A comparison is done between these two methods. Therefore, the velocity, temperature and concentration distributions are obtained. A set of diagrams are plotted to illustrate the influence of the various physical parameters in the forgoing distributions. Finally, the trapping phenomenon is also discussed.

Convective heat and mass transfer analysis on peristaltic flow of Williamson fluid with Hall effects and Joule heating

2014 ◽  
Vol 07 (05) ◽  
pp. 1450058 ◽  
Author(s):  
Humaira Yasmin ◽  
T. Hayat ◽  
Naif Alotaibi ◽  
Huijun Gao
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Convective Heat ◽  
Joule Heating ◽  
Peristaltic Flow ◽  
Williamson Fluid ◽  
Hall Effects

This paper is retracted from IJB due to misconduct.

scholarly journals Oscillatory dissipative conjugate heat and mass transfer in chemically reacting micropolar flow with wall couple stress: A finite element numerical study

2017 ◽  
Vol 233 (1) ◽  
pp. 48-64
Author(s):  
Shamshuddin MD ◽  
Siva Reddy Sheri ◽  
O Anwar Bég
Keyword(s):  
Mass Transfer ◽  
Finite Element ◽  
Porous Medium ◽  
Viscous Dissipation ◽  
Couple Stress ◽  
Numerical Study ◽  
Polymeric Materials ◽  
Materials Processing ◽  
Physical Parameters ◽  
Chemically Reacting

High temperature non-Newtonian materials processing provides a stimulating area for process engineering simulation. Motivated by emerging applications in this area, the present article studies time-dependent free convective flow of a chemically reacting micropolar fluid from a vertical plate oscillating in its own plane adjacent to a porous medium. Thermal radiative, viscous dissipation and wall couple stress effects are included. The Rosseland diffusion approximation is used to model uni-directional radiative heat flux in energy equation. Darcy’s model is adopted to mimic porous medium drag force effect. The governing two-dimensional conservation equations are normalized with appropriate variables and transformed into a dimensionless, coupled, nonlinear system of partial differential equations under the assumption of low Reynolds number. The governing boundary value problem is then solved under physically viable boundary conditions numerically with a finite element method based on the weighted residual approach. Graphical illustrations for velocity, micro-rotation (angular velocity), temperature, and concentration are obtained as functions of the emerging physical parameters, i.e. thermal radiation, viscous dissipation, first-order chemical reaction parameter, etc. Furthermore, friction factor (skin friction), surface heat transfer and mass transfer rates have been tabulated quantitatively for selected thermo-physical parameters. A comparison with previously published article is made to check the validity and accuracy of the present finite element solutions under some limiting cases and excellent agreement is attained. Additionally, a mesh independence study is conducted. The model is relevant to reactive polymeric materials processing simulation.

scholarly journals Numerical Study of Laminar Flow and Mass Transfer for In-Line Spacer-Filled Passages

2012 ◽  
Vol 135 (1) ◽  
Author(s):  
Steven B. Beale ◽  
Jon G. Pharoah ◽  
Ashwani Kumar
Keyword(s):  
Mass Transfer ◽  
Driving Force ◽  
Numerical Study ◽  
Mean Flow ◽  
Process Industries ◽  
Fully Developed Flow ◽  
Flow Reynolds Number ◽  
Variable Wall ◽  
Blowing Parameter ◽  
Wall Mass

Performance calculations for laminar fluid flow and mass transfer are presented for a passage containing cylindrical spacers configured in an inline-square arrangement, typical of those employed in the process industries. Numerical calculations are performed for fully-developed flow, based on stream-wise periodic conditions for a unit cell and compared with those obtained for developing regime in a row of ten such units. The method is validated for an empty passage, i.e., a plane duct. Results are presented for the normalized mass transfer coefficient and driving force, as a function of mean flow Reynolds number, and also the wall mass flux, or blowing parameter. Both constant and variable wall velocities were considered, the latter being typical of those found in many practical membrane modules.

scholarly journals Numerical Study of Laminar Flow and Mass Transfer for In-Line Spacer-Filled Passages

2010 ◽  
Author(s):  
S. B. Beale ◽  
J. G. Pharoah ◽  
A. Kumar ◽  
S. M. Mojab
Keyword(s):  
Mass Transfer ◽  
Driving Force ◽  
Numerical Study ◽  
Mean Flow ◽  
Process Industries ◽  
Fully Developed Flow ◽  
Flow Reynolds Number ◽  
Variable Wall ◽  
Blowing Parameter ◽  
Wall Mass

Performance calculations for laminar fluid flow and mass transfer are presented for a spacer-filled passage containing cylindrical spacers configured in an inline-square arrangement, typical of those employed in the process industries. Numerical calculations are performed for fully-developed flow, based on stream-wise periodic conditions for a ‘unit cell’ and compared with those obtained for developing regime in a row of 10 such units. The method is validated for an empty passage (i.e. a plane duct). Results are presented for the normalized mass transfer coefficient and driving force, as function of mean flow Reynolds number, and also the wall mass flux, or blowing parameter. Both constant and variable wall velocities were considered, the latter being typical of those found in many practical membrane assemblies.

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