scholarly journals Effect of Heat and Mass Transfer and Magnetic Field on Peristaltic Flow of a Fractional Maxwell Fluid in a Tube

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
F. S. Bayones ◽  
A. M. Abd-Alla ◽  
Esraa N. Thabet
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Maxwell Fluid ◽  
Peristaltic Flow ◽  
Medical Applications ◽  
Peristaltic Motion ◽  
Long Wavelength ◽  
Maxwell Fluids

Magnetic field and the fractional Maxwell fluids’ impacts on peristaltic flows within a circular cylinder tube with heat and mass transfer were evaluated while assuming that they are preset with a low Reynolds number and a long wavelength. The analytical solution was deduced for temperature, concentration, axial velocity, tangential stress, and coefficient of heat transfer. Many emerging parameters and their effects on the aspects of the flow were illustrated, and the outcomes were expressed via graphs. Finally, some graphical presentations were made to assess the impacts of various parameters in a peristaltic motion of the fractional fluid in a tube of different nature. The present investigation is essential in many medical applications, such as the description of the gastric juice movement of the small intestine in inserting an endoscope.

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.

Magnetohydrodynamic Nonlinear Peristaltic Flow in a Compliant Walls Channel With Heat and Mass Transfer

2012 ◽  
Vol 134 (7) ◽  
Author(s):  
Sadia Hina ◽  
Tasawar Hayat ◽  
Saleem Asghar ◽  
Mohammed Shabab Alhothuali ◽  
Adnan Alhomaidan
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Mathematical Formulation ◽  
Concentration Field ◽  
Peristaltic Flow ◽  
Grade Fluid ◽  
Compliant Walls ◽  
Fourth Grade Fluid

This paper discusses the effects of magnetic field and heat and mass transfer on the peristaltic flow of an incompressible fluid in a channel with compliant walls. Mathematical formulation for the fourth grade fluid is presented. Relations of stream function, temperature, concentration field, and heat transfer coefficient are derived. The variations of the interesting parameters entering into the problem are carefully analyzed.

Influence of magnetic field and heat and mass transfer on the peristaltic flow through a porous rotating medium with compliant walls

2017 ◽  
Vol 13 (4) ◽  
pp. 648-663
Author(s):  
A.M. Abd-Alla ◽  
S.M. Abo-Dahab ◽  
M. Elsagheer
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Concentration Field ◽  
Peristaltic Flow ◽  
Content Type ◽  
Long Wavelength ◽  
Compliant Walls ◽  
Field Velocity ◽  
Flow Through

Purpose The purpose of this paper is to predict the effects of magnetic field, heat and mass transfer and rotation on the peristaltic flow of an incompressible Newtonian fluid in a channel with compliant walls. The whole system is in a rotating frame of reference. Design/methodology/approach The governing equations of two-dimensional fluid have been simplified under long wavelength and low Reynolds number approximation. The solutions are carried out for the stream function, temperature, concentration field, velocity and heat transfer coefficient. Findings The results indicate that the effects of permeability, magnetic field and rotation are very pronounced in the phenomena. Impacts of various involved parameters appearing in the solutions are carefully analyzed. Originality/value The effect of the concentration distribution, heat and mass transfer and rotation on the wave frame is analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. A comparison was made with the results obtained in the presence and absence of rotation, magnetic field and heat and mass transfer.

The Influence of Magnetic Fields and Heat and Mass Transfer on Peristaltic Flow Through a Porous Channel

2020 ◽  
Vol 17 (11) ◽  
pp. 4819-4825
Author(s):  
Hanan S. Gafel
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Magnetic Fields ◽  
Heat And Mass Transfer ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Long Wavelength ◽  
Flow Through ◽  
Velocity Pressure ◽  
The Magnetic Field

This paper discusses the effects of both magnetic fields and heat and mass transfer on the flows of a peristaltic nature with incompressible Newtonian fluid mechanics in a channel. The study was conducted under the assumption of a low Reynolds number and a long wavelength. The analytical solution was deduced from velocity and temperature. The outcomes for velocity and temperature, presented analytically, were evaluated in a numerical form and discussed briefly. Non-dimensional wave amplitude impact, the magnetic field, Grashof number, and the volume rate of flow in the waveform were analyzed theoretically and computed numerically. The expressions for velocity, pressure gradient, pressure rise, temperature, fractional force of the internal and outer channels, and shear stress were sketched for various embedded parameters; afterward, they were accordingly interpreted. Results of a numerical nature were given and illustrated graphically in every case. The results acquired in the presence and lack of magnetic field were compared against each other. The outcomes imply that the effects of the magnetic field and heat and mass transfer were evident in the phenomena. The effects of various involved criteria manifesting in the solutions were meticulously assayed.

scholarly journals Impacts of Heat and Mass Transfer on Magneto Hydrodynamic Peristaltic Flow Having Temperature-dependent Properties in an Inclined Channel Through Porous Media

2020 ◽  
pp. 854-869
Author(s):  
Rabiha S. Kareem ◽  
Ahmed M. Abdulhadi
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Variable Viscosity ◽  
Peristaltic Flow ◽  
Long Wavelength ◽  
Inclined Channel ◽  
Flow Parameters ◽  
Temperature Dependent Properties ◽  
Mathematica Software ◽  
Velocity Pressure

In this paper, we study the impacts of variable viscosity , heat and mass transfer on magneto hydrodynamic (MHD) peristaltic flow in a asymmetric tapered inclined channel with porous medium . The viscosity is considered as a function of temperature. The slip conditions at the walls were taken into consideration. SmallReynolds number and the long wavelength approximations were used to simplify the governing equations. A comparison between the two velocities in cases of slip and no-slip was plotted. It was observed that the behavior of the velocity differed in the two applied models for some parameters. Mathematica software was used to estimate the exact solutions of temperature and concentration profiles. The resolution of the equations to the momentum was based on the perturbation method to find the axial velocity, pressure gradient and trapping phenomenon. The influences of the various flow parameters of the problem on these distributions were debated and proved graphically by figures.

scholarly journals Peristaltic Motion of Non-Newtonian Fluid with Heat and Mass Transfer through a Porous Medium in Channel under Uniform Magnetic Field

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Nabil T. M. Eldabe ◽  
Bothaina M. Agoor ◽  
Heba Alame
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Newtonian Fluid ◽  
Pressure Rise ◽  
Perturbation Series ◽  
Peristaltic Motion ◽  
Method Of Solution ◽  
Permeability Parameter

This paper is devoted to the study of the peristaltic motion of non-Newtonian fluid with heat and mass transfer through a porous medium in the channel under the effect of magnetic field. A modified Casson non-Newtonian constitutive model is employed for the transport fluid. A perturbation series’ method of solution of the stream function is discussed. The effects of various parameters of interest such as the magnetic parameter, Casson parameter, and permeability parameter on the velocity, pressure rise, temperature, and concentration are discussed and illustrated graphically through a set of figures.

Slip and Heat Transfer Effects on Peristaltic Motion of a Carreau Fluid in an Asymmetric Channel

2010 ◽  
Vol 65 (12) ◽  
pp. 1121-1127 ◽  
Author(s):  
Tasawar Hayat ◽  
Najma Saleem ◽  
Awatif A. Hendi
Keyword(s):  
Heat Transfer ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Peristaltic Motion ◽  
Carreau Fluid ◽  
Long Wavelength ◽  
Flow And Heat Transfer ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation ◽  
Pumping And Trapping

An analysis has been carried out for peristaltic flow and heat transfer of a Carreau fluid in an asymmetric channel with slip effect. The governing problem is solved under long wavelength approximation. The variations of pertinent dimensionless parameters on temperature are discussed. Pumping and trapping phenomena are studied.

Sign in / Sign up

Export Citation Format

Share Document