Exact flow of a third grade fluid past a porous plate using homotopy analysis method

By Muhammad Ayub, A. Rasheed, Tasawar Hayat. 2003

214 citations recorded by the source corpus.

The flow of a third grade fluid past a porous plate is considered. An exact analytical solution of the governing non-linear differential equation is constructed using homotopy analysis method. It is observed that the relevant perturbation solution corresponds to a special case of the presented solution.

Subfields: Biomedical Engineering, Fluid Flow and Transfer Processes, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/73c910f351c30abbe31e9c45ebd1357af14d7a55

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In Biomedical Engineering

In Fluid Flow and Transfer Processes

In Modeling and Simulation

Citations in the corpus

An explicit solution of the large deformation of a cantilever beam under point load at the free tip (2008, background): “In fact, the HAM [11–15,4–6,8,17–19,1,2] is capable of solving a wide range of nonlinear problems, particularly when the nonlinearity is strong.”
Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet (2010, background): “[11,12] for the viscoelastic and third-grade fluid flow problems.”
On the relationship between the homotopy analysis method and Euler transform (2010, methodology): “Thereafter, the HAM has been improved step by step [14–20] and has been widely applied in science, engineering and finance [21–29].”
Comparison between the homotopy analysis method and homotopy perturbation method (2005, methodology): “This method has been successfully applied to solve many types of nonlinear problems (for example, please refer to [4–10]).”