Keywords and phrases: non-linear differential equation, stretching sheet, MHD, micropolar fluid, semi-infinite porous stretching sheet.
Received: June 11, 2022; Accepted: July 7, 2022; Published: August 5, 2022
How to cite this article: V. Anitha, Exact solution to the MHD flow of micropolar fluid over a linear porous stretching sheet, Advances and Applications in Fluid Mechanics 29 (2022), 27-44. http://dx.doi.org/10.17654/0973468622006
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] A. Cemal Eringen, Theory of micropolar fluids, Journal of Mathematics and Mechanics 16 (1966), 1-18. [2] G. Lukaszewicz, Micropolar Fluids: Theory and Applications, Springer Science & Business Media, 1999. [3] J. Chen, C. Liang and J. D. Lee, Theory and simulation of micropolar fluid dynamics, Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems 224 (2010), 31-39. [4] G. P. Galdi and S. Rionero, A note on the existence and uniqueness of solutions of the micropolar fluid equations, International Journal of Engineering Science 15 (1977), 105-108. [5] V. Soundalgekar and H. Takhar, Flow of micropolar fluid past a continuously moving plate, International Journal of Engineering Science 21(8) (1983), 961-965. [6] M. Sheikholeslami, M. Hatami and D. Ganji, Micropolar fluid flow and heat transfer in a permeable channel using analytical method, Journal of Molecular Liquids 194 (2014), 30-36. [7] M. Turkyilmazoglu, Flow of a micropolar fluid due to a porous stretching sheet and heat transfer, Internat. J. Non-Linear Mech. 83 (2016), 59-64. [8] H. Mirgolbabaee, S. Ledari and D. Ganji, Semi-analytical investigation on micropolar fluid flow and heat transfer in a permeable channel using AGM, Journal of the Association of Arab Universities for Basic and Applied Sciences 24 (2017), 213-222. [9] R. Sharma and U. Gupta, Thermal convection in micropolar fluids in porous medium, Internat. J. Engrg. Sci. 33(13) (1995), 1887-1892. [10] M. Sajid, Z. Abbas and T. Hayat, Homotopy analysis for boundary layer flow of a micropolar fluid through a porous channel, Appl. Math. Modelling 33(11) (2009), 4120-4125. [11] N. A. Kelson and A. Desseaux, Effect of surface conditions on flow of a micropolar fluid driven by a porous stretching sheet, Internat. J. Engrg. Sci. 39(16) (2001), 1881-1897. [12] K. Vajravelu and S. Mukhopadhyay, Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes: Numerical Solutions, Academic Press, 2015. [13] I. Swain, S. Mishra and H. Pattanayak, Flow over exponentially stretching sheet through porous medium with heat source/sink, Journal of Engineering 2015 (2015), Article ID: 452592. [14] V. Kumaran and G. Ramanaiah, A note on the flow over a stretching sheet, Acta Mech. 116(1) (1996), 229-233. [15] O. D. Makinde and A. Aziz, Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, International Journal of Thermal Sciences 50(7) (2011), 1326-1332. [16] T. Hayat, W. Khan, S. Abbas, S. Nadeem and S. Ahmad, Impact of induced magnetic field on second-grade nanofluid flow past a convectively heated stretching sheet, Applied Nanoscience 10(8) (2020), 3001-3009. [17] K. Vajravelu and J. Nayfeh, Convective heat transfer at a stretching sheet, Acta Mech. 96(1) (1993), 47-54. [18] T. Fang, J. Zhang and S. Yao, Slip MHD viscous flow over a stretching sheet - an exact solution, Commun. Nonlinear Sci. Numer. Simul. 14(11) (2009), 3731-3737. [19] T. Hayat, M. Qasim and S. Mesloub, MHD flow and heat transfer over permeable stretching sheet with slip conditions, International Journal for Numerical Methods in Fluids 66(8) (2011), 963-975. [20] M. Hamad, Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field, International Communications in Heat and Mass Transfer 38(4) (2011), 487-492. [21] P. G. Siddheshwar and U. S. Mahabaleshwar, Analytical solution to the MHD flow of micropolar fluid over a linear stretching sheet, International Journal of Applied Mechanics and Engineering 20(2) (2015), 397-406. [22] A. M. Abd-Alla, I. A. Abbas, S. M. Abo-Dhab, Y. Elmhedy, H. Sapoor and M. A. Abdelhafaz, Effect of magnetic field and heat transfer on peristaltic flow of a micropolar fluid through a porous medium, Waves in Random and Complex Media (2022), 1-12. [23] B. Ahmed, M. A. Abbas, S. U. Rehman and M. Saleem, Numerical investigation of entropy generation on MHD flow of micropolar fluid over a stretching sheet in the presence of a porous medium, Waves in Random and Complex Media (2022), 1-15. [24] B. Mallikarjuna, Y. S. Kalyan Chakravarthy and S. Ramprasad, Effect of multiple forces on convective micropolar fluid flow in a permeable channel with stretching walls considering second order slip conditions, International Journal of Ambient Energy (2022), 1-14. [25] U. S. Mahabaleshwar, A. B. Vishalakshi and M. Hatami, MHD micropolar fluid flow over a stretching/shrinking sheet with dissipation of energy and stress work considering mass transpiration and thermal radiation, International Communications in Heat and Mass Transfer 133 (2022), 105966. [26] P. Vinay Kumar, U. Mahabaleshwar, N. Swaminathan and G. Lorenzini, Effect of MHD and mass transpiration on a viscous liquid flow past porous stretching sheet with heat transfer, Journal of Engineering Thermophysics 30(3) (2021), 404-419. [27] W. Fuzhang, M. I. Anwar, M. Ali, A. S. El-Shafay, N. Abbas and R. Ali, Inspections of unsteady micropolar nanofluid model over exponentially stretching curved surface with chemical reaction, Waves in Random and Complex Media (2022), 1-22. [28] S. Ahmad and Z. H. Khan, Numerical solution of micropolar fluid flow with heat transfer by finite difference method, International Journal of Modern Physics B 36(4) (2022), 2250037. [29] A. Baitharu, S. Sahoo and G. Dash, Effect of joule heating on steady MHD convective micropolar fluid over a stretching/shrinking sheet with slip flow model, Journal of Naval Architecture and Marine Engineering 18(2) (2021), 175-186. [30] H. Mondal, S. Mishra and P. K. Kundu, Magneto-hydrodynamics effects over A three-dimensional nanofluid flow through a stretching surface in a porous medium, Waves in Random and Complex Media (2022), 1-14. [31] M. Pathak, P. Joshi and K. S. Nisar, Numerical investigation of fluid flow and heat transfer in micropolar fluids over a stretching domain, Journal of Thermal Analysis and Calorimetry (2022), 1-10. [32] M. A. Abbas, B. Ahmed, L. Chen, S. U. Rehman, M. Saleem and W. S. Khudair, Analysis of entropy generation on magnetohydrodynamic flow with mixed convection through porous media, Energies 15(3) (2022), 1206. https://doi.org/10.3390/en15031206.
|