scholarly journals Effect of velocity slip on MHD periodic flow through irregular channel

2020 ◽  
Author(s):  
J. Sasikumar ◽  
S. Anitha ◽  
N. Harinisha
1981 ◽  
Vol 17 (4) ◽  
pp. 1222-1224 ◽  
Author(s):  
J. H. Knight
Keyword(s):  

Author(s):  
Huei Chu Weng

The presence of current flow in an electric and magnetic field results in electromagnetic force and joule heating. It is desirable to understand the roles of electromagnetic force and joule heating on gas microflow and heat transfer. In this study, a mathematical model is developed of the pressure-driven gas flow through a long isothermally heated horizontal planar microchannel in the presence of an external electric and magnetic field. The solutions for flow and thermal field and characteristics are derived analytically and presented in terms of dimensionless parameters. It is found that an electromagnetic driving force can be produced by a combined non-zero electric field and a negative magnetic field and results in an additional velocity slip and an additional flow drag. Also, a joule heating can be enhanced by an applied positive magnetic field and therefore results in an additional temperature jump and an additional heat transfer.


The effective dispersion coefficient of a solute in pulsating flow through a circular tube is here found. The case of a viscous flow under a pulsating pressure gradient is treated in detail and it is found that the Taylor diffusion coefficient contains terms proportional to the square of the amplitude of the pressure pulsations. However, the coefficients of these terms tend rapidly to zero, and the effect of pulsation will rarely contribute a fraction of more than 1/128 (the ratio of the amplitude of pressure gradient pulsation to mean pressure gradient) 2 to the total dispersion coefficient. The methods may be applied to diffusion in any periodic flow.


2021 ◽  
Author(s):  
F.M Alharbi ◽  
Muhammad Jawad ◽  
Muhammad Zubair ◽  
Muhammad Naeem ◽  
Ibn-i- Amin ◽  
...  

Abstract In this study, we consider the magnetohydrodynamics mixed convective couple stress hybrid nanofluid Darcy-Forchheimer flow through a rotating porous space with velocity slip condition. The nonlinear thermal stratification and thermal radiation of Magnetohydrodynamics (MHD) are discussed in detail. For relative analysis, we have taken the nanoparticals samples of Aluminum oxides (Al2O3) and Titanium dioxide (TiO2). The rotation in the disk is produces for the generation of the flow in the system.Furthermore, the variable permeability and porosity of porous space is regarded as Darcy-Forchheimer expression. The resulting nonlinear system of ODE’s are solved by Homotopy Analysis Method (HAM). The governing of several sundry parameters i.e. “Couple Stress, coefficient of inertia, radiation parameter, magnetic parameter, Prandtl number, heat source or sink parameter” are presented both graphically as well as in numerical tables. The behavior of the flow predicted that the increase of both mixed convection and couple stress parameters cause increase in the momentum profile. Temperature of the system rises for higher values of radiation parameter and magnetic parameter. The higher local heat transfer rate of Aluminum oxides (Al2O3) and Titanium oxide (TiO2)or water is examined as compared to hybrid nanofluid.


Author(s):  
M. Rosemeyer ◽  
J. A. Becker ◽  
Rolf Schäfer

The thermally induced isomerization of neutral silicon clusters has been studied by a molecular beam experiment, investigating velocity slip distributions with a time-of-flight method. The clusters dispersed in helium flow through a heated tube and, at its end, expand into vacuum. The observed velocity distributions can be explained by the existence of a cylindrical and a spherical class of isomers, whose relative intensities can be examined in dependence of the tube temperature. Assuming that the isomerization can be described by a unimolecular gas-phase reaction, one is able to derive a rate constant for the isomerization. The results are analyzed within the activated complex theory and give evidence, that entropic effects play a crucial role for the cluster isomerization reaction.


2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Shalini Jain ◽  
Shweta Bohra

The present study investigates the radiation effects in flow through porous medium over a permeable rotating disk with velocity slip and temperature jump. Fluid properties density(ρ), viscosity(μ), and thermal conductivity(κ)are taken to be dependent on temperature. Particular case considering these fluid properties’ constant is also discussed. The governing partial differential equations are converted into nonlinear normal differential equation using similarity alterations. Transformed system of equations is solved numerically by using Runge-Kutta method with shooting technique. Effects of various parameters such as porosity parameterK, suction parameterWs, rotational Reynolds number Re, Knudsen number Kn, Prandtl number Pr, radiation parameterN, and relative temperature difference parameterεon velocity profiles along radial, tangential, and axial direction and temperature distribution are investigated for both variable fluid properties and constant fluid properties. Results obtained are analyzed and depicted through graphs and table.


2006 ◽  
Vol 22 (2) ◽  
pp. 137-144 ◽  
Author(s):  
C.-K. Chen ◽  
L. Wang ◽  
J.-T. Yang ◽  
L.-T. Chen

AbstractThe oscillatory characteristics and dynamic structure of periodic flow in an oscillatory gas flow meter were studied experimentally and numerically. The flow oscillations were triggered by the Coanda effect and an universal correlation between Strouhal number and Reynolds number, Str = 1.09 × 10−3 for ReHD >800, was deduced based on spectral analysis of the pressure fluctuations in the flow channel. Numerical simulation indicated that the evolution of the flow patterns was classified into stages of induction and sustainable periodic oscillation. The transformation between the two stages was noticeably affected by the design of the feedback channels. The results further revealed that the development of the main vortex in the oscillating chamber and the small vortices at the entrance of the feedback channels concurrently modulate the mechanism of oscillation. The small vortices located at both entrances of the feedback channels play the role of a pair of modulating valves, which alternatively switch on and off the bypass flow through each feedback channel, thus reinforcing the periodic oscillation.


2020 ◽  
Vol 12 (7) ◽  
pp. 168781402094433 ◽  
Author(s):  
Madhia Rashid ◽  
Sohail Nadeem ◽  
Iqra Shahzadi

This investigation based on electromagnetohydrodynamic flow in microchannels through lightly corrugated walls effects is reported in the presence of variable liquid properties. In microparallel plates, we consider incompressible and electrically conducting viscous fluid. With small amplitudes, the wall corrugations are described by periodic sin waves. The governing equations are rendered dimensionless and solved with the help of the perturbation technique. The analytical solutions for velocity are obtained and analyzed graphically. A connection between flow rate and roughness is acquired by perturbation solutions of the stream function. By utilizing numerical computations, we analyzed the corrugation consequences on the velocity for electromagnetohydrodynamic flow. We graphically clarified the velocity and temperature profiles and their dependencies on all parameters. The three-dimensional velocity and contour distributions shown that the wall roughness can cause changes in the velocity distribution. For in phase the phase difference among the two corrugated walls is equals to 0°, and for out of phase the phase difference is equal to 180° between the two walls. The wave phenomenon of the flow shape becomes obvious with the expansion of the corrugation. The electromagnetohydrodynamic velocities first grow and then reduce. The electromagnetohydrodynamic velocity increases for Reynolds number, Hartmann number, and Darcy parameter. Velocity profile decreases for variable viscosity, velocity slip parameter.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Muhammad Ramzan ◽  
Saima Riasat ◽  
Jae Dong Chung ◽  
Yu-Ming Chu ◽  
M. Sheikholeslami ◽  
...  

AbstractThe present study examines homogeneous (HOM)–heterogeneous (HET) reaction in magnetohydrodynamic flow through a porous media on the surface of a rotating disk. Preceding investigations mainly concentrated on the catalysis for the rotating disk; we modeled the impact of HET catalysis in a permeable media over a rotating disk with slip condition at the boundary. The HOM reaction is followed by isothermal cubic autocatalysis, however, the HET reactions occur on the surface governed by first-order kinetics. Additionally, entropy minimization analysis is also conducted for the envisioned mathematical model. The similarity transformations are employed to convert the envisaged model into a non-dimensional form. The system of the modeled problem with ordinary differential equations is analyzed numerically by using MATLAB built-in bvp4c function. The behavior of the emerging parameters versus the thermal, concentration, and velocity distributions are depicted graphically with requisite discussion abiding the thumb rules. It is learned that the rate of the surface catalyzed reaction is strengthened if the interfacial area of the permeable media is enhanced. Thus, a spongy medium can significantly curtail the reaction time. It is also noticed that the amplitude of velocity and thermal profile is maximum for the smallest value of the velocity slip parameter. Heat transfer rate declines for thermophoresis and the Brownian motion parameter with respect to the thermal slip parameter. The cogency of the developed model is also validated by making a comparison of the existing results with a published article under some constraints. Excellent harmony between the two results is noted.


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