scholarly journals Peristaltic Slip Flow of a Viscoelastic Fluid with Heat and Mass Transfer in a Tube

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
Ayman Mahmoud Sobh
Keyword(s):  
Mass Transfer ◽  
Temperature Distribution ◽  
Pressure Gradient ◽  
Heat And Mass Transfer ◽  
Viscoelastic Fluid ◽  
Slip Flow ◽  
Perturbation Expansion ◽  
Analytic Solutions ◽  
Wave Number ◽  
Axial Velocity Component

The paper discusses the combined effect of slip velocity and heat and mass transfer on peristaltic flow of a viscoelastic fluid in a uniform tube. This study has numerous applications. It serves as a model for the chyme movement in the small intestine, by considering the chyme as a viscoelastic fluid. The problem is formulated and analysed using perturbation expansion in terms of the wave number as a parameter. Analytic solutions for the axial velocity component, pressure gradient, temperature distribution, and fluid concentration are derived. Also, the effects of the emerging parameters on pressure gradient, temperature distribution, concentration profiles, and trapping phenomenon are illustrated graphically and discussed in detail.

Slip flow in peristaltic transport of a Carreau fluid in an asymmetric channel

2009 ◽  
Vol 87 (8) ◽  
pp. 957-965 ◽  
Author(s):  
Ayman Mahmoud Sobh
Keyword(s):  
Pressure Gradient ◽  
Axial Velocity ◽  
Slip Flow ◽  
Perturbation Expansion ◽  
Pressure Rise ◽  
Weissenberg Number ◽  
Peristaltic Transport ◽  
Asymmetric Channel ◽  
Carreau Fluid ◽  
Axial Velocity Component

In this paper, peristaltic transport of a Carreau fluid in an asymmetric channel is studied theoretically under zero Reynolds number and long-wavelength approximation for both slip and no-slip flow (Kn  =  0). The problem is analyzed using a perturbation expansion in terms of the Weissenberg number as a parameter. Analytic forms for the axial velocity component and the pressure gradient are obtained to second order. The pressure rise is computed numerically and explained graphically. Moreover, the effects of the slip parameter, Weissenberg number, power-law index, and phase difference on the pressure gradient, the axial velocity, and the trapping phenomena have been discussed.

scholarly journals Analysis of Heat and Mass Transfer for Second-Order Slip Flow on a Thin Needle Using a Two-Phase Nanofluid Model

Symmetry ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1176
Author(s):  
Siti Nur Alwani Salleh ◽  
Norfifah Bachok ◽  
Fadzilah Md Ali ◽  
Norihan Md Arifin
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Slip Flow ◽  
Second Order ◽  
Two Phase ◽  
Specific Domain ◽  
Transfer Rates ◽  
Similarity Transformations ◽  
The Stability ◽  
Good Agreement

The present paper concentrates on the second-order slip flow over a moving thin needle in a nanofluid. The combined effects of thermophoresis and Brownian motion are considered to describe the heat and mass transfer performance of nanofluid. The resulting system of equations are obtained using similarity transformations and being executed in MATLAB software via bvp4c solver. The physical characteristics of embedded parameters on velocity, temperature, concentration, coefficient of skin friction, heat and mass transfer rates are demonstrated through a graphical approach and are discussed in detail. The obtained outcomes are validated with the existing works and are found to be in good agreement. It is shown that, for a specific domain of moving parameter, dual solutions are likely to exist. The stability analysis is performed to identify the stability of the solutions gained, and it is revealed that only one of them is numerically stable. The analysis indicated that the percentage of increment in the heat and mass transfer rates from no-slip to slip condition for both thin and thick surfaces of the needle ( a = 0.1 and a = 0.2 ) are 10.77 % and 12.56 % , respectively. Moreover, the symmetric behavior is noted for the graphs of reduced heat and mass transfer when the parameters N b and N t are the same.

scholarly journals Heat and Mass Transfer on MHD Flow of a Viscoelastic Fluid through Porous Media over a Shrinking Sheet

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
D. Bhukta ◽  
G. C. Dash ◽  
S. R. Mishra
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Temperature Field ◽  
Differential Equations ◽  
Heat And Mass Transfer ◽  
Viscoelastic Fluid ◽  
Power Law ◽  
Nonlinear Partial Differential Equations ◽  
Shrinking Sheet ◽  
Mass Transfer Effect

An attempt has been made to study the heat and mass transfer effect in a boundary layer flow through porous medium of an electrically conducting viscoelastic fluid over a shrinking sheet subject to transverse magnetic field in the presence of heat source. Effects of radiation, viscous dissipation, and uniform heat sink on the heat transfer have been considered. The method of solution involves similarity transformation. The coupled nonlinear partial differential equations representing momentum, concentration, and nonhomogenous heat equation are reduced into a set of nonlinear ordinary differential equations. The transformed equations are solved by applying Kummer’s function. The exact solution of temperature field is obtained for power-law surface temperature (PST) as well as power-law heat flux (PHF) boundary condition. The interaction of magnetic field is proved to be counterproductive in enhancing velocity and concentration distribution, whereas presence of porous matrix reduces the temperature field at all points.

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