Flow and heat transfer in a nano-liquid film over an unsteady stretching surface

Author(s):  
Hang Xu ◽  
Ioan Pop ◽  
Xiang-Cheng You
2011 ◽  
Vol 89 (3) ◽  
pp. 295-298 ◽  
Author(s):  
D. A. Aldawody ◽  
E. M.A. Elbashbeshy

The effects of thermal radiation and magnetic field on flow and heat transfer over an unsteady stretching surface in a micropolar fluid are studied. The governing partial differential equations are transformed into a system of ordinary differential equations containing the material parameter K, magnetic parameter M, radiation parameter R, and Prandtl number Pr. These equations are solved numerically by applying a shooting technique, using the Runge–Kutta method. Comparison of the numerical results is made with previously published results under the special cases, and the results are found to be in good agreement. Effects of the material parameter K, magnetic parameter M, radiation parameter R, and Prandtl number Pr on the flow and heat transfer are studied.


Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 371-381
Author(s):  
Remus-Daniel Ene ◽  
Vasile Marinca ◽  
Valentin Bogdan Marinca

AbstractIn this paper we have studied the flow and heat transfer of a horizontal sheet in a viscous fluid. The stretching rate and temperature of the sheet vary with time. The governing equations for momentum and thermal energy are reduced to ordinary differential equations by means of similarity transformation. These equations are solved approximately by means of the Optimal Homotopy Asymptotic Method (OHAM) which provides us with a convenient way to control the convergence of approximation solutions and adjust convergence rigorously when necessary. Some examples are given and the results obtained reveal that the proposed method is effective and easy to use.


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