Numerical and analytical treatment on peristaltic flow of Williamson fluid in the occurrence of induced magnetic field

2013 ◽  
Vol 346 ◽  
pp. 142-151 ◽  
Author(s):  
Safia Akram ◽  
S. Nadeem ◽  
M. Hanif
Keyword(s):  
Magnetic Field ◽  
Peristaltic Flow ◽  
Induced Magnetic Field ◽  
Analytical Treatment ◽  
Williamson Fluid

Effects of an induced magnetic field on the peristaltic flow of a third-order fluid

2009 ◽  
Vol 26 (2) ◽  
pp. 345-366 ◽  
Author(s):  
T. Hayat ◽  
Yasir Khan ◽  
Kh. S. Mekheimer ◽  
Nasir Ali
Keyword(s):  
Magnetic Field ◽  
Peristaltic Flow ◽  
Induced Magnetic Field ◽  
Third Order

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.

Effect of an Induced Magnetic Field on the Peristaltic Motion of Phan-Thien-Tanner (PTT) Fluid

2010 ◽  
Vol 65 (8-9) ◽  
pp. 665-676 ◽  
Author(s):  
Tasawar Hayat ◽  
Saima Noreen ◽  
Nasir Ali
Keyword(s):  
Magnetic Field ◽  
Magnetic Force ◽  
Pressure Rise ◽  
Problem Formulation ◽  
Peristaltic Flow ◽  
Frame Of Reference ◽  
Peristaltic Motion ◽  
Induced Magnetic Field ◽  
Mathematical Relations ◽  
Ptt Fluid

This article looks at the influence of an induced magnetic field on peristaltic motion of an incompressible fluid in a planar channel with non-conductive walls. Peristaltic flow is generated by a sinusoidal wave travelling down its walls. The problem formulation in a wave frame of reference moving with velocity of wave is established. Mathematical relations for the stream function, pressure gradient, magnetic force function, and axial induced magnetic field are constructed. The pressure rise and frictional force are discussed by performing numerical integration. Effects of many sundry parameters entering into the governing problem are examined by plotting graphs

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