THE EFFECTS OF ENDOSCOPE AND HEAT TRANSFER ON THE PERISTALTIC FLOW OF A SECOND GRADE FLUID IN AN INCLINED TUBE

2016 ◽  
Vol 16 (04) ◽  
pp. 1650057 ◽  
Author(s):  
K. RAMESH ◽  
M. DEVAKAR
Keyword(s):  
Heat Transfer ◽  
Vertical Tube ◽  
Peristaltic Flow ◽  
Temperature Fields ◽  
Second Grade ◽  
Physical Parameters ◽  
Second Grade Fluid ◽  
Pumping Rate ◽  
Inclined Tube ◽  
Grade Fluid

In the present paper, we have studied the effects of endoscope and heat transfer on the peristaltic flow of second grade fluid through an inclined tube. The endoscope is a solid circular cylinder which is inserted in a peristaltic tube, and the flow takes place through the gap between endoscope and the peristaltic tube. The endoscope is maintained at a temperature [Formula: see text], while the outer tube has a sinusoidal wave traveling down its wall and is exposed to temperature [Formula: see text]. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The equations governing the flow of second grade fluid are modeled in cylindrical coordinates. Using perturbation method, the solutions are obtained for the stream function, pressure gradient and temperature fields. The pressure difference and frictional force at both the walls are calculated using numerical integration. The graphical results are presented to interpret the effect of various physical parameters of interest. It is found that, velocity increases with an increase in inclination angle and the best pumping rate appear in the vertical tube as compared to the horizontal tube. It is also found that, the heat generation parameter has an increasing effect on the velocity of the fluid.

Flow of a Second Grade Fluid over a Stretching Surface with Newtonian Heating

2012 ◽  
Vol 28 (1) ◽  
pp. 209-216 ◽  
Author(s):  
T. Hayat ◽  
Z. Iqbal ◽  
M. Mustafa
Keyword(s):  
Heat Transfer ◽  
Temperature Fields ◽  
Heat Transfer Analysis ◽  
Second Grade ◽  
Newtonian Heating ◽  
Second Grade Fluid ◽  
Differential Systems ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Layer Flow

ABSTRACTThis article describes the boundary layer flow and heat transfer in a second grade fluid over a stretching sheet. Heat transfer analysis is carried out in the presence of a Newtonian heating. The partial differential systems have been transformed into the ordinary differential systems by appropriate relations. Homotopy analysis method (HAM) is used for the solutions. Graphical and tabulated results are presented to see the significance of influential parameters on the velocity and temperature fields. It is seen that temperature profiles and heat transfer rate significantly increase by increasing the conjugate parameter (γ) for Newtonian heating.

scholarly journals Interaction of heat transfer and peristaltic pumping of fractional second grade fluid through a vertical cylindrcal tube

2014 ◽  
Vol 18 (4) ◽  
pp. 1109-1118 ◽  
Author(s):  
V.P. Rathod ◽  
M. Mahadev
Keyword(s):  
Heat Transfer ◽  
Amplitude Ratio ◽  
Wave Length ◽  
Material Constant ◽  
Graphical Form ◽  
Second Grade ◽  
Physical Parameters ◽  
Second Grade Fluid ◽  
Peristaltic Pumping ◽  
Grade Fluid

This paper deals with a theoretical investigation of interaction of heat transfer with peristaltic pumping of a fractional second grade fluid through a tube, under the assumption of low Reynolds number and long wave length approximation. Analytical solution of problem is obtained by using Caputo?s definition. Effect of different physical parameters, material constant, amplitude ratio, friction force, temperature and heat transfer on pumping action and frictional force are discussed with particular emphasis. The computed results are presented in graphical form.

scholarly journals MHD Three-Dimensional Free Convective Flow with Periodic Permeability and Heat Transfer of a Second-Grade Fluid

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Atifa Latif ◽  
Muhammad Afzal Rana ◽  
Babar Ahmad ◽  
Muhammad Hussan
Keyword(s):  
Magnetic Field ◽  
Skin Friction ◽  
Flow Direction ◽  
Porous Plate ◽  
Three Dimensional ◽  
Temperature Fields ◽  
Second Grade ◽  
Physical Parameters ◽  
Second Grade Fluid ◽  
Grade Fluid

The present study delivers the mathematical model and theoretical analysis of a three-dimensional flow in a free convection for an electrically conducting incompressible second-grade fluid through a very high porous medium circumscribed by an infinite vertical porous plate subject to a constant suction. A uniform magnetic field along the normal to the surface of plate is applied. Periodic permeability for the medium is assumed, while velocity of free stream is taken to be uniform. Analytic expressions are presented for velocity and temperature fields, pressure, and skin friction components by perturbation technique. The impacts on these physical quantities by the physical parameters existing in the model are discussed and envisioned graphically. It is interesting to note that elastic and permeability parameters are able to control the skin friction along the main flow direction, magnetic field to reduce the pressure, and Reynolds number to control the thermal boundary layer thickness. It is also noted that temperature distribution does not depend upon permeability parameter.

Similarity solution of second grade fluid flow over a moving cylinder

2021 ◽  
Author(s):  
Nadeem Abbas ◽  
M. Y. Malik ◽  
Sohail Nadeem ◽  
Shafiq Hussain ◽  
A. S. El-Shafa
Keyword(s):  
Boundary Layer ◽  
Fluid Flow ◽  
Differential Equations ◽  
Material Parameter ◽  
Second Grade ◽  
Physical Parameters ◽  
Stretching Cylinder ◽  
Second Grade Fluid ◽  
Moving Cylinder ◽  
Grade Fluid

Stagnation point flow of viscoelastic second grade fluid over a stretching cylinder under the thermal slip and magnetic hydrodynamics effects are studied. The mathematical model has been developed under the assumption of non-Newtonian viscoelastic fluid flow over a stretching cylinder by means of the boundary layer approximations. The developed model further reduced through the similarity transformations and constructs the model of nonlinear ordinary differential equations. The system of nonlinear differential equations is dimensionless and solved through the numerical technique bvp5c methods. The results of the physical parameters are found and interpreted in the form of tables and graphs. The velocity shows that the graph of curves enhances away from the surface when the values material parameter [Formula: see text] increase, which means the momentum boundary layer increases for enhancing the material parameter [Formula: see text]. The temperature gradient reduced due enhancing the values of material parameter [Formula: see text] because thermal boundary layer reduced for higher values of material parameter [Formula: see text].

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