Series solution for the upper-convected Maxwell fluid over a porous stretching plate

By Tasawar Hayat, Zaheer Abbas, Muhammad Sajid. 2006

253 citations recorded by the source corpus.

This Letter is concerned magnetohydrodynamic (MHD) boundary layer flow of an upper-convected Maxwell (UCM) fluid over a porous stretching sheet. By means of similarity transformations, the non-linear equations governing the flow under discussion are reduced to an ordinary differential equation. With the help of homotopy analysis method (HAM), the analytical solution is obtained in the series form. Convergence of the series is explicitly discussed. The effects of various involved parameters of interest are shown on velocity and skin friction coefficient for both suction and injection.

Subfields: Biomedical Engineering, Mechanical Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/10ebdafc90739e189d465c513bf6be8e6cbaa062

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Tasawar Hayat
2. Muhammad Sajid
3. Bidin Biliana
4. Nazar Roslinda
5. Zaheer Abbas
6. T. Javed
7. Nasir Ali
8. Shijun Liao

In Mechanical Engineering

1. Bidin Biliana
2. Nazar Roslinda
3. Tasawar Hayat
4. Muhammad Sajid
5. Zaheer Abbas
6. T. Javed
7. Mahantesh M. Nandeppanavar
8. M. Subhas Abel

In Modeling and Simulation

1. Tasawar Hayat
2. Muhammad Sajid
3. Zaheer Abbas
4. T. Javed
5. Bidin Biliana
6. Nazar Roslinda
7. M. Subhas Abel
8. J. Tawade

Citations in the corpus

• MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet (2012, methodology): “UCM fluid by using HAM-method and the researchers [ 14 , 19, 20] have studied UCM fluid by using numerical methods with no heat transfer.”
• 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].”
• FLOW OF AN EYRING-POWELL NON-NEWTONIAN FLUID OVER A STRETCHING SHEET (2013, background): “In addition to this, many researchers (for example, see Cortell, 2007; Vajravelu and Roper, 1999; Hayat et al., 2006, 2007, 2008; Pahlavan and Sadeghy, 2009; Wang and Pop, 2006; and Nazar et al., 2004 and references therein) have discussed the flow of non-Newtonian fluids, including the…”