Influence of Thermal Radiation on Blasius Flow of a Second Grade Fluid

2009 ◽  
Vol 64 (12) ◽  
pp. 827-833 ◽  
Author(s):  
Tasawar Hayat ◽  
Meraj Mustafa ◽  
Muhammad Sajid
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Skin Friction Coefficient ◽  
Second Grade ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Two Dimensional Flow ◽  
Grade Fluid

This work describes the series solution of two-dimensional flow and heat transfer of a second grade fluid in the presence of radiation. The governing partial differential equations are reduced into ordinary differential equations by appropriate similarity tranformation. The series solutions of the resulting ordinary differential equations are obtained by using the homotopy analysis method (HAM). The convergence of the solution is discussed explicitly. The influence of pertinent parameters on the velocity and temperature is graphically displayed and discussed. Numerical values of the skin friction coefficient and the Nusselt number are also tabulated

Series solution for flow of a second-grade fluid in a divergent–convergent channel

2010 ◽  
Vol 88 (12) ◽  
pp. 911-917 ◽  
Author(s):  
T. Hayat ◽  
M. Nawaz ◽  
S. Asghar ◽  
Awatif A. Hendi
Keyword(s):  
Series Solution ◽  
Problem Formulation ◽  
Skin Friction Coefficient ◽  
Second Grade ◽  
Physical Parameters ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Convergent Channel ◽  
Homotopy Analysis ◽  
Grade Fluid

This study explores the flow of a second-grade fluid in divergent–convergent channel. The problem formulation is first developed, and then the corresponding nonlinear problem is solved by homotopy analysis method (HAM). The effects of different physical parameters on the velocity profile are shown. The numerical values of the skin friction coefficient for different values of parameters are tabulated.

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.

Unsteady Three-Dimensional Flow in a Second-Grade Fluid Over a Stretching Surface

2011 ◽  
Vol 66 (10-11) ◽  
pp. 635-642 ◽  
Author(s):  
Tasawar Hayat ◽  
Ambreen Safdar ◽  
Muhammad Awais ◽  
Awatif A. Hendi
Keyword(s):  
Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Three Dimensional ◽  
Second Grade ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Stretching Surface ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Grade Fluid

The three-dimensional unsteady flow induced in a second-grade fluid over a stretching surface has been investigated. Nonlinear partial differential equations are reduced into a system of ordinary differential equations by using the similarity transformations. The homotopy analysis method (HAM) has been implemented for the series solutions. Graphs are displayed for the effects of different parameters on the velocity field.

scholarly journals Flow of a second grade fluid with convective boundary conditions

2011 ◽  
Vol 15 (suppl. 2) ◽  
pp. 253-261 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir Shehzad ◽  
Muhammad Qasim ◽  
Saleem Obaidat
Keyword(s):  
Boundary Conditions ◽  
Second Grade ◽  
Convective Boundary Conditions ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Convective Boundary ◽  
Similarity Transformations ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Grade Fluid

The flow and heat transfer in a second grade fluid over a stretching sheet subjected to convective boundary conditions are investegated. Similarity transformations have been used for the reduction of partial differential equation into the ordinary differential. Homotopy analysis method (HAM) has been utilized for the series solutions. Graphical results are displayed and analyzed. Computations for local Nusselt number have been carried out.

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

scholarly journals Application of Homotopy Analysis Method to the Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates

2010 ◽  
Vol 2010 ◽  
pp. 1-18 ◽  
Author(s):  
Mohammad Mehdi Rashidi ◽  
Abdul Majid Siddiqui ◽  
Mostafa Asadi
Keyword(s):  
Differential Equation ◽  
Homotopy Analysis Method ◽  
Nonlinear Ordinary Differential Equation ◽  
Second Grade ◽  
Squeezing Flow ◽  
Circular Plates ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Homotopy Analysis ◽  
Grade Fluid

We investigated an axisymmetric unsteady two-dimensional flow of nonconducting, incompressible second grade fluid between two circular plates. The similarity transformation is applied to reduce governing partial differential equation (PDE) to a nonlinear ordinary differential equation (ODE) in dimensionless form. The resulting nonlinear boundary value problem is solved using homotopy analysis method and numerical method. The effects of appropriate dimensionless parameters on the velocity profiles are studied. The total resistance to the upper plate has been calculated.

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.

Numerical analysis of flow and heat transfer of a viscoelastic fluid over a stretching sheet

2011 ◽  
Vol 21 (2) ◽  
pp. 206-218 ◽  
Author(s):  
Maryam Momeni ◽  
Naghmeh Jamshidi ◽  
Amin Barari ◽  
Ganji Domairry
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Stretching Sheet ◽  
Nonlinear Differential Equations ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Content Type ◽  
Flow And Heat Transfer ◽  
Wide Range ◽  
Grade Fluid

PurposeThe purpose of this paper is to study the flow and heat transfer of an incompressible homogeneous second‐grade fluid past a stretching sheet channel and employ the homotopy analysis method (HAM) to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem.Design/methodology/approachIn this paper, a study of the flow and heat transfer of an incompressible homogeneous second‐grade fluid past a stretching sheet channel is presented and the HAM is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. It has been attempted to show the capabilities and wide‐range applications of the HAM in comparison with the numerical method in solving this problem.FindingsThe obtained solutions, in comparison with the exact solutions admit a remarkable accuracy.Originality/valueIn this paper, a study of the flow and heat transfer of an incompressible homogeneous second‐grade fluid past a stretching sheet channel is presented and the HAM is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. The paper shows the capabilities and wide‐range applications of the HAM in comparison with the numerical method in solving this problem. The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy.

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