scholarly journals Numerical study at moderate Reynolds number of peristaltic flow of micropolar fluid through a porous-saturated channel in magnetic field

AIP Advances ◽  
2018 ◽  
Vol 8 (1) ◽  
pp. 015319 ◽  
Author(s):  
Bilal Ahmed ◽  
Tariq Javed ◽  
N. Ali
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Micropolar Fluid ◽  
Numerical Study ◽  
Peristaltic Flow ◽  
Moderate Reynolds Number

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.

Numerical Analysis of Peristaltic Transport of Casson Fluid for non-zero Reynolds Number in Presence of the Magnetic Field

2018 ◽  
Vol 7 (3) ◽  
pp. 183-193 ◽  
Author(s):  
T. Javed ◽  
B. Ahmed ◽  
A.H. Hamid ◽  
M. Sajid
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Longitudinal Velocity ◽  
Casson Fluid ◽  
Moving Frame ◽  
Partial Differential ◽  
Long Wavelength ◽  
Moderate Reynolds Number

Abstract In this study, the peristaltic flow of a Casson fluid in a channel is considered in the presence of an applied magnetic field. Flow is considered in the moving frame of reference with constant velocity along the wave. The developed mathematical model is presented by a set of partial differential equations. A numerical algorithm based on finite element method is implemented to evaluate the numerical solution of the governing partial differential equations in the stream-vorticity formulation. The obtained results are independent of low Reynolds number and long wavelength assumptions, so the effects of non-zero moderate Reynolds number are presented. The expression for the pressure is also calculated implicitly and discussed through graphs. Computed solutions are presented in the form of contours of streamlines and vorticity. Velocity profile and pressure distribution for variation of different involved parameters are also presented through graphs. The investigation shows that the strength of circulation for stream function increases by increasing the Reynolds and Hartmann numbers. Enhancement in longitudinal velocity is noted by increasing the Reynolds number and Casson parameter while increasing Hartmann number reduces the longitudinal velocity. Comparison of the present results with the available results in literature is also included and found in good agreement.

scholarly journals Influence of Inclined Magnetic Field on the Peristaltic Flow of a Jeffrey Fluid in an Inclined Porous Channel

2018 ◽  
Vol 7 (4.10) ◽  
pp. 319
Author(s):  
V. Jagadeesh ◽  
S. Sreenadh ◽  
P. Lakshminarayana2
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Porous Medium ◽  
Wave Length ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Small Reynolds Number ◽  
Inclined Magnetic Field ◽  
Governing Equations ◽  
Uniform Channel

In this paper we have studied the effects of inclined magnetic field, porous medium and wall properties on the peristaltic transport of a Jeffry fluid in an inclined non-uniform channel. The basic governing equations are solved by using the infinite wave length and small Reynolds number assumptions. The analytical solutions have obtained for velocity and stream function. The variations in velocity for different values of important parameters have presented in graphs. The results are discussed for both uniform and non-uniform channels. 

Numerical Analysis of Sub-Millimeter-Scale Microturbomachinery Aerothermodynamics

2008 ◽  
Author(s):  
Philippe B. Martel ◽  
Luc G. Fre´chette
Keyword(s):  
Reynolds Number ◽  
Large Scale ◽  
Microelectromechanical Systems ◽  
Numerical Study ◽  
Reynolds Numbers ◽  
Viscous Effects ◽  
Analysis And Design ◽  
Moderate Reynolds Number ◽  
Throat Width ◽  
Solid Foundation

This paper presents a complete numerical study of the aerothermodynamics of subsonic moderate Reynolds number microturbomachinery using 2D computational fluid dynamics (CFD) on 24 cascade geometries and covering over 2000 conditions. Profile and mixing losses, as well as deviation and heat transfer correlations are developed for use in mean-line analysis and design. Both losses and thermal transfer tend to increase with decreasing Reynolds number, Mach number, and throat width. Deviation follows large scale turbomachinery behavior but tends to increase with viscous effects. A slender cascade geometry using a modified profile is suggested, potentially increasing isentropic efficiency by as much as 15%. This work defines a solid foundation for the design of microturbines used in power microelectromechanical systems (MEMS), such as gas and steam microturbines with sub-millimeter-scale blade chords operating at moderate Reynolds numbers (100 < Rec < 2000).

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