STEADY MHD MIXED CONVECTION NEWTONIAN FLUID FLOW ALONG A VERTICAL STRETCHING CYLINDER EMBEDDED IN POROUS MEDIUM
A viscous electrically conducting fluid is considered and its steady mixed convective flow along a vertical stretching cylinder is investigated. It is assumed that the cylinder is embedded in a porous medium and, external magnetic field, heat source/sink are also taken into account. Suitable similarity transformations are used to reduce the governing equations and associated boundary conditions into a system of nonlinear ordinary differential equations. This system along with the boundary conditions is solved by fourth order Runge-Kutta method with shooting technique. Variations in fluid velocity and temperature due to various physical parameters such as heat source/sink parameter, mixed convection parameter, magnetic parameter are presented through graphs. Effect of these parameters on dimensionless shear stress and rate of heat transfer are discussed numerically through tables.
 T. S.Chen and A.Mucoglu,Buoyancy Effects on Forced Convection Along a Vertical Cylinder, ASME Journal of Heat Transfer, Vol.97, 1975, 198-203.
 P.Cheng, Similarity Solutions for Mixed Convection from Horizontal Impermeable Surfaces in Saturated Porous Media, International Journal of Heat and Mass Transfer, Vol. 20, 1977, 893-898.
 C. Y.Wang, The Three-Dimensional Flow Due to a Stretching Flat Surface, Physics of Fluids, Vol. 27, 1984, 1915-1917.
 L. J.Grubka and K. M.Bobba, Heat Transfer Characteristics of a Continuous Stretching Surface with Variable Temperature, ASME Journal of Heat Transfer, Vol.107, 1985, 248-250.
 K.Vajravelu, Convection Heat Transfer at a Stretching Sheet with Suction or Blowing, J. Math. Anal. Appl., Vol.188, 1994, pp. 1002-1011.
 P. G. Ganesan and P. H.Rani, Unsteady Free Convection MHD Flow Past a Vertical Cylinder with Heat and Mass Transfer, Int. J. Therm. Sci., Vol.39, 2000, 265-272.
 P. G. Siddheshwar and C. V.Srikrishna, Linear and Non-linear Analysis of Convection in a MicropolarFluid Occupying a Porous Medium, Int. J. Non-linear Mech., Vol.38, 2003, 1561-1579.
 C. L.Chang, Numerical Simulation for Natural Convection of MicropolarFluids Flow Along Slender Hollow Circular Cylinder with Wall Conduction Effect, Communication in Nonlinear Science and Numerical Simulation, Vol.13, 2008, 624-636.
 A.Ishak and R. Nazar, Laminar Boundary Layer Flow Along a Stretching Cylinder, European Journal of Scientific Research, Vol.36, 2009, 22-39.
 O.Aydin and A.Kaya, MHD-Mixed Convection from a Vertical Slender Cylinder,Commun. Nonlinear SCI Numer.Simulat., Vol.16, 2011, 1863-1873.
 C. Y.Wang, Natural Convection on a Vertical Stretching Cylinder, Commun. Nonlinear SCI Numer.Simulat., Vol.17, 2012, 1098-1103.
 P. M.Patil, S.Roy and I.Pop, Unsteady Effects on Mixed Convection Boundary Layer Flow from a Permeable Slender Cylinder due to Non-linearly Power Law Stretching, Computers & Fluids, Vol.56, 2012, 17-23.
 U.Mishra and G.Singh, Dual Solutions of Mixed Convection Flow with Momentum and Thermal Slip Flow over a Permeable Shrinking Cylinder, Computers & Fluids, Vol.93, 2014, 107-115.
 R. S.Yadav and P. R.Sharma, Effects of Porous Medium on MHD Fluid Flow along a Stretching Cylinder, Annals of Pure and Applied Mathematics, Vol. 6, 2014, 104-113.
 T.Hayat, M.S.Anwar, M.Farooq and A.Alsaedi, Mixed Convection Flow of Viscoelastic Fluid by a Stretching Cylinder with Heat Transfer, PLoS ONE, Vol.10, 2015, 1-20. https://doi.org/10.1371/journal.pone.0118815
 P. B. A.Reddy and R.Das, Estimation of MHD Boundary Layer Slip Flow over a Permeable Stretching Cylinder in the Presence of Chemical Reaction Through Numerical and Artificial Neural Network Modeling, Engineering Science and Technology, Vol.19, 2016, 1108–1116. http://dx.doi.org/10.1016/j.jestch.2015.12.013
 N. F. H.Md. Sohut, A. S.Abd Aziz and Z.Md. Ali, Double stratification effects on boundary layer over a stretching cylinder with chemical reaction and heat generation,Journal of Physics: Conf. Series 890, 2017, 012019, 1-6. doi :10.1088/1742-6596/890/1/012019
 P. R. Sharma, S. Sinha, R. S. Yadav and A. N. Filippov, MHD MixedConvective Stagnation Point Flow Along a Vertical Stretching Sheet with Heat Source/Sink, International Journal of Heat and Mass Transfer, Vol. 117, 2018, 780-786.
V. Vinita and VikasPoply, Impact of Outer Velocity MHD Slip Flow and Heat Transfer of NanofluidPast a Stretching Cylinder, Materials Today: Proceedings, Vol. 26, 2019, 3429-3435.
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