AN EFFICIENT SPECTRAL SOLUTION FOR UNSTEADY BOUNDARY-LAYER FLOW AND HEAT TRANSFER DUE TO A STRETCHING SHEET

作者：Mohammadi, Fakhrodin^*; Rashidi, Mohamad Mehdi

来源：Thermal Science, 2017, 21(5): 2167-2176.

DOI：10.2298/TSCI150329097M

• nanofluid
• spectral collocation method
• MHD flow
• entropy generation
• shifted Legendre polynomials
• rotating porous disk

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.

• 出版日期2017
• 单位同济大学