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

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.

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

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-05-2017-0031 ◽

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.

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Effect of heat and mass transfer and rotation on peristaltic flow through a porous medium with compliant walls

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-12-2013-0080 ◽

2014 ◽

Vol 10 (3) ◽

pp. 399-415 ◽

Cited By ~ 3

Author(s):

A.M. Abd-Alla ◽

S.M. Abo-Dahab ◽

A. Kilicman ◽

R.D. El-Semiry

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Concentration Field ◽

Peristaltic Flow ◽

Content Type ◽

Long Wavelength ◽

Compliant Walls ◽

Field Velocity ◽

Flow Through ◽

Effects Of Rotation

Purpose – The purpose of this paper is to investigate the peristaltic flow of an incompressible Newtonian fluid in a channel with compliant walls. The effects of rotation and heat and mass transfer are also taken into account. The governing equations of two dimensional fluid have been simplified under long wavelength and low Reynolds number approximation. An exact solutions is presented for the stream function, temperature, concentration field, velocity and heat transfer coefficient. Design/methodology/approach – The effect of the concentration distribution, heat and mass transfer and rotation on the wave frame are analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. Comparison was made with the results obtained in the presence and absence of rotation and heat and mass transfer. Findings – The results indicate that the effect of the permeability and rotation are very pronounced in the phenomena. Originality/value – The objective of the present analysis is to analyze the effects of rotation, heat and mass transfer and compliant walls on the peristaltic flow of a viscous fluid.

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

Complexity ◽

10.1155/2021/9911820 ◽

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.

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