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In the present framework, a model is constituted to explore the peristalsis of magnetohydrodynamics (MHD) viscoelastic (second grade) fluid with wall properties. The study is beneficial in understanding blood flow dynamics through microchannels. The mechanisms of heat and mass transfer are also modeled in the existence of viscous dissipation and Soret effects. The conducting second grade fluid is permeated by a vertical magnetic field. Perturbation technique is opted to present series solutions by assuming that the wavelength of the sinusoidal wave is small in comparison to the half-width of the channel. The solution profiles are computed and elucidated for a certain range of embedded parameters. Moreover, plots of heat transfer coefficient against the axial coordinate are also portrayed and deliberated. The main outcome of the current research is that both viscoelasticity and slip effect considerably alter the flow fields. Moreover, an increasing trend in solute concentration is anticipated for increasing the Soret effect strength.
The current study aims to scrutinize the peristalsis of magnetohydrodynamics Reiner-Rivlin fluid model in a cylindrical tube through porous medium. The basic equations, including momentum, heat, and concentration are tackled in the valuable presence of Hall current, Joule heating, viscous-dissipation, and Soret effects. Moreover, slip effect is also entertained. The considered system is simplified by approximating with long wavelengths and very low Reynolds numbers. Perturbation technique is chosen to obtain the closed form analytical solutions. The impact of influential parameters is presented through plots and physically discussed in detail. The main conclusions of this work are that the velocity and temperature fields exhibit opposite behavior for the Hartman number and Hall parameter. The slip parameter has minimizing impact on velocity distribution. The fluid velocity tends to increase when Reiner-Rivlin fluid parameter is incremented. The Darcy number has upgrading impact on fluid temperature. The solute concentration minifies when slip parameter is incremented. It can be visualized that size of trapped bolus becomes larger on increasing the value of Hall and slip parameter.
Aims::
This article is intended to investigate and determine combined impact of Slip and Hall current on Peristaltic transmission of Magneto-hydrodynamic (MHD) Eyring-Powell fluid.
Background:
The hall term arises taking strong force-field under consideration. Velocity, thermal and concentration slip conditions are applied. Energy equation is modeled by considering Joule-thermal effect. To observe non-Newtonian behavior of fluid the constitutive equations of Eyring-Powell fluid is encountered.
Objective:
Flow is studied in a wave frame of reference travelling with velocity of wave. The mathematical modeling is done by utilizing adequate assumptions of long wavelength and low Reynolds number.
Method:
The closed form solution for momentum, temperature and concentration distribution is computed analytically by using regular perturbation technique for small fluid parameter(A).
Results:
Graphical results are presented and discussed in detail to analyze behavior of sundry parameters on flow quantities (i.e. velocity, temperature and concentration profile). It is noticed that Powell-Eyring fluid parameters (A,B) have a significant role on the outcomes.
Conclusion:
The fluid parameter A magnifies the velocity profile whereas, the other fluid parameter B shows the opposite behavior.
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