The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum

2011 ◽  
Vol 16 (8) ◽  
pp. 3107-3125 ◽  
Author(s):  
K. Vajravelu ◽  
S. Sreenadh ◽  
P. Lakshminarayana
Keyword(s):  
Heat Transfer ◽  
Peristaltic Transport ◽  
Jeffrey Fluid ◽  
Porous Stratum

Influence of Heat Transfer and Magnetic Field on a Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel with Partial Slip

2010 ◽  
Vol 65 (6-7) ◽  
pp. 483-494 ◽  
Author(s):  
Sohail Nadeem ◽  
Safia Akram
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Wave Length ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Partial Slip ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Wave Forms

In the present paper, we have studied the influence of heat transfer and magnetic field on a peristaltic transport of a Jeffrey fluid in an asymmetric channel with partial slip. The complicated Jeffrey fluid equations are simplified using the long wave length and low Reynolds number assumptions. In the wave frame of reference, an exact and closed form of Adomian solution is presented. The expressions for pressure drop, pressure rise, stream function, and temperature field have been calculated. The behaviour of different physical parameters has been discussed graphically. The pumping and trapping phenomena of various wave forms (sinusoidal, multisinusoidal, square, triangular, and trapezoidal) are also studied.

The effect of heat transfer on the nonlinear peristaltic transport of a Jeffrey fluid through a finite vertical porous channel

2016 ◽  
Vol 09 (02) ◽  
pp. 1650023 ◽  
Author(s):  
K. Vajravelu ◽  
S. Sreenadh ◽  
P. Lakshminarayana ◽  
G. Sucharitha
Keyword(s):  
Heat Transfer ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Porous Channel ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Brinkman Model ◽  
Governing Equations ◽  
Permeability Parameter ◽  
Source Sink

In this paper we analyze the influence of free convection on nonlinear peristaltic transport of a Jeffrey fluid in a finite vertical porous stratum using the Brinkman model. Heat is generated within the fluid by both viscous and Darcy dissipations. The coupled nonlinear governing equations are solved analytically. The expressions for the temperature, the axial velocity, the local wall shear stress and the pressure gradient are obtained. The effects of various physical parameters such as the Jeffrey parameter [Formula: see text], the permeability parameter [Formula: see text] and the heat source/sink parameter [Formula: see text] are analyzed through graphs, and the results are discussed in detail. It is observed that the velocity field increases with increasing values of the Jeffrey parameter but it decreases with increasing values of the permeability parameter. It is found that the pressure rise increases with decreasing Jeffrey parameter and increasing permeability parameter. We notice that the effect of the permeability parameter [Formula: see text] is the strongest on the bolus trapping phenomenon. For [Formula: see text] [Formula: see text] the results of the present study reduce to the results of Tripathi [Math. Comput. Modelling 57 (2013) 1270–1283]. Further the effect of viscous and Darcy dissipations is to reduce the rate of heat transfer in the finite vertical porous channel under peristalsis.

Effects of Heat Transfer During Peristaltic Transport in Nonuniform Channel With Permeable Walls

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Siddharth Shankar Bhatt ◽  
Amit Medhavi ◽  
R. S. Gupta ◽  
U. P. Singh
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Incompressible Fluid ◽  
Friction Force ◽  
Viscous Incompressible Fluid ◽  
Peristaltic Transport ◽  
Two Dimensional ◽  
Peristaltic Motion ◽  
Long Wavelength ◽  
Permeable Walls

In the present investigation, problem of heat transfer has been studied during peristaltic motion of a viscous incompressible fluid for two-dimensional nonuniform channel with permeable walls under long wavelength and low Reynolds number approximation. Expressions for pressure, friction force, and temperature are obtained. The effects of different parameters on pressure, friction force, and temperature have been discussed through graphs.

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