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Approximate Solutions for Flow with a Stretching Boundary due to Partial Slip.
U Filobello-Nino1, H Vazquez-Leal1, A Sarmiento-Reyes2
1Electronic Instrumentation and Atmospheric Sciences School, University of Veracruz, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico.
International Scholarly Research Notices
|July 20, 2016
Summary
The homotopy perturbation method (HPM) combined with Laplace-Padé and Padé methods offers an accurate and efficient approximate solution for nonlinear differential equations governing fluid flow with partial slip on a stretching boundary.
Area of Science:
- Fluid dynamics
- Nonlinear differential equations
- Numerical analysis
Background:
- Partial slip conditions significantly alter fluid flow behavior near boundaries.
- Accurate solutions for nonlinear differential equations are crucial in fluid mechanics.
- Traditional numerical methods can be computationally intensive for complex flow problems.
Purpose of the Study:
- To develop and validate a hybrid numerical technique for analyzing fluid flow with partial slip.
- To assess the accuracy and efficiency of the proposed combined method.
- To provide an approximate analytical solution for a specific nonlinear differential equation.
Main Methods:
- Coupling the homotopy perturbation method (HPM) with Laplace-Padé and Padé approximants.
- Solving the nonlinear differential equation describing flow over a stretching flat boundary with partial slip.
- Comparing the obtained approximate solutions with established numerical solutions.
Main Results:
- The combined HPM-Laplace-Padé and HPM-Padé methods yield highly accurate approximate solutions.
- The proposed methods demonstrate significant efficiency compared to traditional numerical approaches.
- The results accurately capture the behavior of fluid flow under partial slip conditions.
Conclusions:
- The integrated homotopy perturbation method with Laplace-Padé and Padé techniques provides a robust and efficient approach for solving nonlinear fluid dynamics problems.
- This hybrid method offers a valuable alternative for analyzing complex flow phenomena with partial slip.
- The findings confirm the accuracy and computational efficiency of the developed approximate solutions.
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