Withdrawal and drainage of thin film flow of a generalized Oldroyd-B fluid on non-isothermal cylindrical surfaces
Source abstract
Abstract
This investigation deals with analytical solutions of thin film flow for withdrawal and drainage of an incompressible generalized Oldroyd-B fluid on a vertical cylinder under the influence of non-isothermal effects. The derived solutions are presented under series form for velocity profile, temperature distribution, volume flux, average film velocity and shear stress in both cases. These solutions satisfy both the governing equations and all imposed initial and boundary conditions. The corresponding exact solutions for Newtonian fluid are also obtained as a special case of our derived solutions. Moreover, solutions for generalized Maxwell fluid and Power Law model, performing the same motion, can be obtained as limiting cases of our general solutions. The influence of pertinent parameters on the fluid motion is also underlined by graphical illustration.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nanofluid Flow and Heat Transfer · Rheology and Fluid Dynamics Studies · Fluid Dynamics and Turbulent Flows
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Government College University Lahore Department of Mathematics, , 54000, Pakistan
References (27)
Show source-provided references
1. On the dynamical theory of gases
2. A thermodynamic framework for rate type fluid models10.1016/S0377-0257(99)00023-3 ↗
3. On the formulation of rheological equations of state10.1098/rspa.1950.0035 ↗
4. Some simple flows of an Oldroyd-B fluid10.1016/S0020-7225(00)00026-4 ↗
5. Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section10.1016/j.ijnonlinmec.2005.05.005 ↗
6. Helical flows of an Oldroyd-B fluid due to a circular cylinder subject to time-dependent shear stress10.1007/s00033-009-0038-7 ↗
7. An extended study of the hydrodynamics of gravity-driven film flow of power-law fluids10.1016/S0169-5983(97)00045-2 ↗
8. Thin film fow of an unsteady shrinking sheet through porous medium with variable viscosity10.1016/j.physleta.2008.05.048 ↗
9. Thin film flow of non-Newtonian MHD fluid on a vertically moving belt10.1002/fld.2320 ↗
10. The influence of slip condition on the thin film flow of a third order fluid
11. MHD thin film flows of a third grade fluid on a vertical belt with slip boundary conditions
12. Lift and drainage of electrically conducting power law fluid on a vertical cylinder10.12785/amis/080105 ↗
13. Analysis of the flow of a power-law fluid film on an unsteady stretching surface by means of homotopy analysis method10.1016/j.jnnfm.2006.05.011 ↗
14. Some exact solutions for the thin film flow of a PTT fluid10.1016/j.physleta.2006.03.071 ↗
15. Optimal homotopy asymptotic method with application to thin film flow
16. On exact solutions for thin film flows of a micropolar fluid10.1016/j.cnsns.2007.09.003 ↗
17. Withdrawal and drainage of thin film flow on a vertical cylinder
18. Thin-film flow of magnetohydrodynamic (MHD) Johnson-Segalman fluid on vertical surfaces using the Adomian decomposition method10.1016/j.amc.2012.10.032 ↗
19. Adomian decomposition method for thin film flow of a non-Newtonian fluid on a vertical cylinder10.1016/j.jfranklin.2013.01.010 ↗
20. Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder10.1016/j.physleta.2005.12.033 ↗
21. Thin film flow of non-Newtonian fluids on a moving belt10.1016/j.chaos.2006.01.101 ↗
22. Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane10.1016/j.chaos.2006.05.026 ↗
23. On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder10.1016/j.physleta.2006.09.060 ↗
24. Thin film flow of an Oldroyd 8-constant fluid: An exact solution10.1016/j.physleta.2007.10.069 ↗
25. Withdrawal and drainage of generalized second grade fluid on vertical cylinder with slip conditions
26. Series solutions of lifting and drainage problems of a nonisothermal modified second grade fluid using a vertical cylinder
27. Stress-deformation relations for isotropic materials