scholarly journals Unsteady boundary layer flow and heat transfer of Oldroyd-B nanofluid towards a stretching sheet with variable thermal conductivity

2015 ◽  
Vol 19 (suppl. 1) ◽  
pp. 239-248 ◽  
Author(s):  
Sandile Motsa ◽  
Mohammad Ansari Sharifuddin
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Variable Thermal Conductivity ◽  
Unsteady Boundary Layer ◽  
Flow And Heat Transfer ◽  
Layer Flow

Unsteady Boundary Layer Flow and Heat Transfer Over a Stretching Sheet

2008 ◽  
Author(s):  
Cornelia Revnic ◽  
Teodor Grosan ◽  
Ioan Pop ◽  
Theodore E. Simos ◽  
George Maroulis ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Unsteady Boundary Layer ◽  
Flow And Heat Transfer ◽  
Layer Flow

scholarly journals An efficient spectral solution for unsteady boundary-layer flow and heat transfer due to a stretching sheet

2017 ◽  
Vol 21 (5) ◽  
pp. 2167-2176 ◽  
Author(s):  
Fakhrodin Mohammadi ◽  
Mohamad Rashidi
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Legendre Polynomials ◽  
Stretching Sheet ◽  
Unsteady Boundary Layer ◽  
Linear Ordinary Differential Equations ◽  
Flow And Heat Transfer ◽  
Layer Flow

In this paper, an efficient spectral collocation method based on the shifted Legendre polynomials is applied to study the unsteady boundary-layer flow and heat transfer due to a stretching sheet. A similarity transformation is used to reduce the governing unsteady boundary-layer equations to a system of non-linear ordinary differential equations. Then, the shifted Legendre polynomials and their operational matrix of derivative are used for producing an analytical approximate solution of this system of non-linear ordinary differential equations. The main advantage of the proposed method is that the need for guessing and correcting the initial values during the solution procedure is eliminated and a stable solution with good accuracy can be obtained by using the given boundary conditions in the problem. A very good agreement is observed between the obtained results by the proposed spectral collocation method and those of previously published ones.

scholarly journals Analytic approximate solutions for unsteady boundary-layer flow and heat transfer due to a stretching sheet by homotopy analysis method

2010 ◽  
Vol 15 (1) ◽  
pp. 83-95 ◽  
Author(s):  
M. M. Rashidi ◽  
S. A. Mohimanian Pour
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Homotopy Analysis Method ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Analysis Method ◽  
Unsteady Boundary Layer ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Layer Flow

In this work, the homotopy analysis method is applied to study the unsteady boundary-layer flow and heat transfer due to a stretching sheet. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The velocity and temperature profiles are shown and the influence of non-dimensional parameter on the heat transfer is discussed in detail. The validity of our solutions is verified by the numerical results.

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