Couette and Poiseuille flows of an oldroyd 6-constant fluid with magnetic field
By Tasawar Hayat, Masood Khan, Muhammad Ayub. 2004
134 citations recorded by the source corpus.
Abstract In this paper, we develop a set of differential equations describing the steady flow of an Oldroyd 6-constant magnetohydrodynamic fluid. The fluid is electrically conducting in the presence of a uniform transverse magnetic field. The developed non-linear differential equation takes into account the effect of the material constants and the applied magnetic field. We presented the solution for three types of steady flows, namely, (i) Couette flow (ii) Poiseuille flow and (iii) generalized Couette flow. Homotopy analysis method (HAM) is used to solve the non-linear differential equation analytically. It is found from the present analysis that for steady flow the obtained solutions are strongly dependent on the material constants (non-Newtonian parameters) which is different from the model of Oldroyd 3-constant fluid. Numerical solutions are also given and compared with the solutions by HAM.
Subfields: Biomedical Engineering, Computational Mechanics, Molecular Biology
View Paper: https://www.semanticscholar.org/paper/45a80d9891a1fbcf894a85388c0a4e321320a978
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In Biomedical Engineering
- Muhammad Sajid
- Tasawar Hayat
- Shijun Liao
- Saleem Asghar
- Saeid Abbasbandy
- Swati Mukhopadhyay
- Zaheer Abbas
- Mohammad Mehdi Rashidi
In Computational Mechanics
- Muhammad Sajid
- Tasawar Hayat
- Saleem Asghar
- Shijun Liao
- Swati Mukhopadhyay
- Zaheer Abbas
- Saeid Abbasbandy
- Mohsen Sheikholeslami
In Molecular Biology
Citations in the corpus
- Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations (2008, methodology): “HAM is a powerful mathematical technique and has been already applied to several nonlinear problems [1–4,6–9,18,20–23,26,28–30].”
- Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt (2007, background): “Several others [2–9] investigated the analytic solutions for flow of non-Newtonian fluids under various assumptions.”