Thin Film Flow of Micropolar Fluid in a Permeable Medium
Source abstract
Abstract
The thin film flow of micropolar fluid in a porous medium under the influence of thermophoresis with the heat effect past a stretching plate is analyzed. Micropolar fluid is assumed as a base fluid and the plate is considered to move with a linear velocity and subject to the variation of the reference temperature and concentration. The latitude of flow is limited to being two-dimensional and is steadily affected by sensitive fluid film size with the effect of thermal radiation. The basic equations of fluid flow are changed through the similarity variables into a set of nonlinear coupled differential equations with physical conditions. The suitable transformations for the energy equation is used and the non-dimensional form of the temperature field are different from the published work. The problem is solved by using Homotopy Analysis Method (HAM). The effects of radiation parameter R, vortex-viscosity parameter Δ, permeability parameter Mr, microrotation parameter Gr, Soret number Sr, thermophoretic parameter τ, inertia parameter Nr, Schmidt number Sc, and Prandtl number Pr are shown graphically and discussed.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nanofluid Flow and Heat Transfer · Fluid Dynamics and Turbulent Flows · Heat and Mass Transfer in Porous Media
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mechanical and Industrial Engineering, Majmaah University, Al Majmaah 11952, Saudi Arabia
Department of mathematics, City University of Science and Information Technology (CUSIT), Peshawar 25000, Pakistan
Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
References (37)
Show source-provided references
1. Goldsmith, P., and May, F.G. (1966). Diffusiophoresis and Thermophoresis in Water Vapour Systems, Aerosol Science, Academic Press.
2. Thermophoresis of aerosol particles in the laminar boundary layer on a flat plate10.1016/0021-9797(77)90416-7 ↗
3. Thermophoresis in natural convection with variable properties10.1007/s002310050284 ↗
4. The effect of surface mass transfer on mixed convection flow past a heated vertical flat permeable plate with thermophoresis10.1016/S1290-0729(03)00075-9 ↗
5. Effect of thermophoresis particle deposition in free convection boundary layer from a vertical flat plate embedded in a porous medium10.1016/j.icheatmasstransfer.2004.02.012 ↗
6. Effect of heat generation or absorption on thermophoretic free convection boundary layer from a vertical flat plate embedded in a porous medium10.1016/j.icheatmasstransfer.2006.04.009 ↗
7. Impact of thermal radiation on MHD slip flow over a flat plate with variable fluid properties10.1007/s00231-011-0924-3 ↗
8. A new model for viscous dissipation in a porous media across a range of permeability values10.1023/A:1023557332542 ↗
9. Combined free and forced convection in vertical channels of porous media10.1023/A:1016290505000 ↗
10. Łukaszewicz, G. (1999). Micropolar Fluids: Theory and Application, Birkhauser.10.1007/978-1-4612-0641-5 ↗
11. Numerical study for micropolar flow over a stretching sheet10.1016/j.commatsci.2006.05.014 ↗
12. Slip flow and heat transfer of a second-grade fluid in a porous medium over a stretching sheet with power-law surface temperature or heat flux10.1080/00986445.2011.552034 ↗
13. Similarity solutions for flow and heat transfer of a viscoelastic fluid over a stretching sheet10.1016/0020-7462(94)90034-5 ↗
14. Flow and heat transfer in a viscoelastic fluid over a stretching sheet10.1016/0020-7462(89)90040-1 ↗
15. Unsteady flow of a non-Newtonian second grade fluid in a channel partially filled by a porous medium
16. Rotating MHD flow of a generalized burgers’ fluid over an oscillating plate embedded in a porous medium10.2298/TSCI15S1S83K ↗
17. Radiation effect on heat transfer of a micropolar fluid through a porous medium10.1016/j.amc.2004.09.059 ↗
18. A novel analytical solution of heat transfer of a micropolar fluid through a porous medium with radiation by DTM-Padé10.1002/htj.20317 ↗
19. Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation10.1016/j.cnsns.2010.08.016 ↗
20. Exponential bernstein functions: An effective tool for the solution of heat transfer of a micropolar fluid through a porous medium with radiation10.1007/s40314-015-0251-2 ↗
21. Numerical analysis of hydromagnetic micropolar fluid along a stretching sheet embedded in porous medium with non-uniform heat source and chemical reaction
22. MHD free convection and mass transfer flow with oscillatory plate velocity and constant heat source in a rotating frame of reference
23. Effects of chemical reaction on MHD free convection and mass transfer flow of a micropolar fluid with oscillatory plate velocity and constant heat source in a rotating frame of reference10.1016/j.cnsns.2010.04.040 ↗
24. Buoyancy effects on the radiative magneto Micropolar nanofluid flow with double stratification, activation energy and binary chemical reaction10.1038/s41598-017-13140-6 ↗
25. Natural convection heat and mass transfer in a micropolar fluid with thermal and mass stratification10.1080/15502287.2013.784378 ↗
26. Flow and heat transfer analysis of Williamson nanofluid10.1007/s13204-013-0282-1 ↗
27. Khan, W., Gul, T., Idrees, M., Islam, S., Khan, I., and Dennis, L.C.C. (2016). Thin film williamson nanofluid flow with varying viscosity and thermal conductivity on a time-dependent stretching sheet. Appl. Sci., 6.10.3390/app6110334 ↗
28. Thin film flow and heat transfer on an unsteady stretching sheet with internal heating10.1007/s11012-010-9313-0 ↗
29. Heat and mass transfer in nanofluid thin film over an unsteady stretching sheet using Buongiorno’s model10.1140/epjp/i2016-16016-8 ↗
30. Thin film flow and heat transfer over an unsteady stretching sheet with thermal radiation, internal heating in presence of external magnetic field
31. The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet10.1016/j.camwa.2011.04.053 ↗
32. Thin film flow of a third grade fluid through porous medium over an inclined plane
33. Homotopy analysis method: A new analytic method for nonlinear problems10.1007/BF02457955 ↗
34. On the homotopy analysis method for nonlinear problems10.1016/S0096-3003(02)00790-7 ↗
35. Liao, S. (2012). Homotopy Analysis Method in Nonlinear Differential Equations, Higher Education Press.10.1007/978-3-642-25132-0 ↗
36. The study of the entropy generation in a thin film flow with variable fluid properties past over a stretching sheet10.1177/1687814018789522 ↗
37. Effective prandtl number model influences on the γAl2O3-H2O and γAl2O3-C2H6O2 nanofluids spray along a stretching cylinder10.1007/s13369-018-3626-z ↗