Haar wavelet solution of the MHD Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid
Source abstract
Abstract
This study deals with the numerical investigation of Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid in the presence of an outer magnetic field by using Haar wavelet method. Jeffery-Hamel flows occur in various practical situations involving flow between two non-parallel walls. Applications of such fluids in biological and industrial sciences brought a great concern to the investigation of flow characteristics in converging and diverging channels. A suitable similarity transformation is applied to transform the nonlinear coupled partial differential equations (PDEs) into nonlinear coupled ordinary differential equations (ODEs), which govern the momentum and heat transfer properties of the fluid. Due to the high nonlinearity of resulting coupled ODEs, the exact solution is unlikely. Thus, the solution is approximated using a numerical scheme based on Haar wavelets and the results are verified by comparing with 4th order Runge-Kutta results.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nanofluid Flow and Heat Transfer · Fluid Dynamics and Turbulent Flows · Fractional Differential Equations Solutions
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
University of Karachi 1 Department of Mathematics, , Karachi 75270, Pakistan
National University of Computer and Emerging Sciences 2 Department of Sciences and Humanities, , Karachi 75030, Pakistan
Mohammad Ali Jinnah University 3 , Karachi 75400, Pakistan
Air University 4 Department of Mathematics, , Multan Campus, Pakistan
References (23)
Show source-provided references
1. L. The two-dimensional steady motion of a viscous fluid10.1080/14786440408635327 ↗
2. Spiralförmige bewegungen zäher flüssigkeiten
3. The steady two-dimensional radial flow of viscous fluid between two inclined plane walls10.1098/rspa.1940.0068 ↗
4. Study on nonlinear Jeffery–Hamel flow by He’s semi-analytical methods and comparison with numerical results10.1016/j.camwa.2009.03.044 ↗
5. Laminar flow in symmetrical channels with slightly curved walls. I. On the Jeffery-Hamel solutions for flow between plane walls10.1098/rspa.1962.0087 ↗
6. Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels10.1016/j.csite.2015.04.002 ↗
7. Transverse magnetic field on Jeffery–Hamel problem with Cu–water nanofluid between two non parallel plane walls by using collocation method10.1016/j.csite.2014.10.002 ↗
8. The Jeffery–Hamel similarity solution and its relation to flow in a diverging channel10.1017/jfm.2011.362 ↗
9. An approximation of the analytical solution of the Jeffery-Hamel flow by homotopy analysis method
10. A note on improved homotopy analysis method for solving the Jeffery-Hamel flow10.1155/2010/359297 ↗
11. A new spectral-homotopy analysis method for the MHD Jeffery–Hamel problem10.1016/j.compfluid.2010.03.004 ↗
12. Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method10.1007/s10483-012-1531-7 ↗
13. Solution of the Jeffery–Hamel flow problem by optimal homotopy asymptotic method10.1016/j.camwa.2010.03.024 ↗
14. Numerical treatment of nonlinear MHD Jeffery–Hamel problems using stochastic algorithms10.1016/j.compfluid.2013.12.005 ↗
15. Mechanisms for the relaxation theory of viscosity10.1038/154427a0 ↗
16. On the double diffusive convection flow of Eyring-Powell fluid due to cone through a porous medium with Soret and Dufour effects10.1063/1.4921488 ↗
17. Effect of suspended nanoparticles on three-dimensional MHD flow, heat and mass transfer of radiating Eyring-Powell fluid over a stretching sheet10.1166/jon.2015.1177 ↗
18. Optimal solution of nonlinear heat and mass transfer in a two-layer flow with nano-Eyring–Powell fluid10.1016/j.rinp.2015.08.006 ↗
19. MHD peristaltic transport of Eyring–Powell fluid with heat/mass transfer, wall properties and slip conditions10.1016/j.jmmm.2015.11.059 ↗
20. Self similar solutions for the flow and heat transfer of Powell-Eyring fluid over a moving surface in a parallel free stream10.1016/j.ijheatmasstransfer.2013.05.049 ↗
21. The Magnetohydrodynamic Jeffrey–Hamel problem for a weakly conducting fluid10.1093/qjmam/14.3.335 ↗
22. Zur Theorie der orthogonalen Funktionensysteme10.1007/BF01456326 ↗
23. Numerical solution of differential equations using Haar wavelets10.1016/j.matcom.2004.10.005 ↗