Abstract
Analysis of magnetohydrodynamics (MHD) boundary layer viscous fluid flow with variable thermal conductivity and mass transfer over a stretching cylinder has been done. The joule heating due to the weak magnetic field is encountered here and the thermal conductivity is taken to be a linear function of temperature. Numerical solutions are built up for momentum, energy and concentration equations using “MATLAB built-in bvp4c solver technique”. Impact of different flow parameters on the flow velocity, temperature and concentrations profiles have been discussed graphically. It is found that the dual solutions exist due to stretching cylinder and there is an unexpected increase of heat at the surface of the cylinder. Stability analysis of dual solutions is implemented to characterize the linearly stable and physically realizable solution.
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References
Awaludin, I.S., Weidman, P.D., Ishak, A.: Stability analysis of stagnation-point flow over a stretching/shrinking sheet. AIP Adv. 6(4) (2016)
Kamal, F., Zaimi, K., Ishak, A., Pop, I.: Stability analysis on the stagnation-point flow and heat transfer over a permeable stretching/shrinking sheet with heat source effect. Int. J. Numer. Methods Heat Fluid Flow 28(11), 2650–2663 (2018)
Ahmed, A., Siddique, J.I., Sagheer, M.: Dual solutions in a boundary layer flow of a power law fluid over a moving permeable flat plate with thermal radiation, viscous dissipation and heat generation/absorption. Fluids 3(1) (2018)
Chowdhury, M.M.K., Parveen, N.: Stability analysis of the laminar boundary layer flow. GANIT J. Bangladesh Math. Soc. 29, 23–34 (2009)
Najib, N., Bachok, N., Arifin, N.M.: Stability of dual solutions in boundary layer flow and heat transfer over an exponentially shrinking cylinder. Indian J. Sci. Technol. 9(48) (2017)
Abel, M.S., Datti, P.S., Mahesha, N.: Flow and heat transfer in a power-law fluid over a stretching sheet with variable thermal conductivity and non-uniform heat source. Int. J. Heat Mass Transf. 52(11–12), 2902–2913 (2009)
Jahan, S., Sakidin, H., Nazar, R.M.: MHD stagnation point flow over a stretching cylinder with variable thermal conductivity and joule heating. AIP Conf. Proc. 1787 (2016)
Dey, D.: Non-Newtonian effects on hydromagnetic dusty stratified fluid flow through a porous medium with volume fraction. Proc. Natl. Acad. Sci. India Sect. A—Phys. Sci. 86(1), 47–56 (2016)
Dey, D.: Hydromagnetic Oldroyd fluid flow past a flat surface with density and electrical conductivity stratification. Lat. Am. Appl. Res. 42(2), 41–45 (2017)
Narender, G., Govardhan, K., Sarma, G,S.: Heat and mass transfer of nanofluid over a linear stretching surface with viscous dissipation effect. J. Heat Mass Transf. Res. 6, 117–124 (2019)
Keys, W.M.: Convective heat and mass transfer. McGraw-Hill, New York (1966)
Merkin, J.H.: Mixed convection boundary layer flow on a vertical surface in a saturated porous medium. J. Eng. Math. 14(4), 301–313 (1980)
Harris, S.D., Ingham, D.B., Pop, I.: Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip. Transp. Porous Media 77(2), 267–285 (2009)
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Dey, D., Borah, R., Mahanta, B. (2021). Boundary Layer Flow and Its Dual Solutions Over a Stretching Cylinder: Stability Analysis. In: Hassanien, A.E., Bhattacharyya, S., Chakrabati, S., Bhattacharya, A., Dutta, S. (eds) Emerging Technologies in Data Mining and Information Security. Advances in Intelligent Systems and Computing, vol 1286. Springer, Singapore. https://doi.org/10.1007/978-981-15-9927-9_3
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DOI: https://doi.org/10.1007/978-981-15-9927-9_3
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