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.

Magnetohydrodynamic Three-Dimensional Flowof a Second-Grade Fluid with Heat Transfer

2010 ◽  
Vol 65 (8-9) ◽  
pp. 683-691 ◽  
Author(s):  
Tasawar Hayat ◽  
Muhammad Nawaz
Keyword(s):  
Heat Transfer ◽  
Mathematical Problem ◽  
Three Dimensional ◽  
Second Grade ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Homotopy Analysis ◽  
Ion Slip ◽  
Grade Fluid ◽  
Layer Flow

An analysis has been carried out for the heat transfer on steady boundary layer flow of a secondgrade fluid bounded by a stretching sheet. The magnetohydrodynamic nature of the fluid is considered in the presence of Hall and ion-slip currents. The nonlinear mathematical problem is computed by a powerful tool, namely, the homotopy analysis method (HAM). A comparative study between the present and existing limiting results is carefully made. Convergence regarding the obtained solution is discussed. Skin friction coefficients and Nusselt number are analyzed. Effects of embedded parameters on the dimensionless velocities and temperature are examined

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.

scholarly journals Squeezed flow and heat transfer in a second grade fluid over a sensor surface

2014 ◽  
Vol 18 (2) ◽  
pp. 357-364 ◽  
Author(s):  
Tasawar Hayat ◽  
Majid Hussain ◽  
Sohail Nadeem ◽  
Saleem Obaidat
Keyword(s):  
Heat Transfer ◽  
Mathematical Formulation ◽  
Skin Friction Coefficient ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Squeezed Flow ◽  
Physical Quantities

An analysis has been carried out for the hydromagnetic flow and heat transfer over a horizontal surface located in an externally squeezed free stream. Mathematical formulation is developed by using constitutive equations of a second grade fluid. The resulting problems have been solved by a homotopy analysis method (HAM). In addition the skin friction coefficient and Nusselt number are tabulated. The physical quantities of interest are analyzed for various emerging parameters.

On the Analytic Solution of Magnetohydrodynamic Flow of a Second Grade Fluid Over a Shrinking Sheet

2007 ◽  
Vol 74 (6) ◽  
pp. 1165-1171 ◽  
Author(s):  
T. Hayat ◽  
Z. Abbas ◽  
M. Sajid
Keyword(s):  
Series Solution ◽  
Analytic Solution ◽  
Second Grade ◽  
Shrinking Sheet ◽  
Series Solutions ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Layer Flow

In this study, we derive an analytical solution describing the magnetohydrodynamic boundary layer flow of a second grade fluid over a shrinking sheet. Both exact and series solutions have been determined. For the series solution, the governing nonlinear problem is solved using the homotopy analysis method. The convergence of the obtained solution is analyzed explicitly. Graphical results have been presented and discussed for the pertinent parameters.

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