**ABSTRACT**

The main aim of the present work is to highlight the significances of periodic mixed convection flow and heat transfer characteristics along the surface of magnetized cone by exerting magnetic field exact at the surface of the cone. The numerical simulations of coupled non-dimensional equations are computed in terms of velocity field, temperature and magnetic field concentration and then used to examine the periodic components of skin friction, τw, heat transfer, qw, and current density, jw, for various governing parameters. A nice periodic behavior of heat transfer qw is concluded for each value of mixed convection parameter, λ, but maximum periodicity is sketched at λ = 50. It is also computed that the lower value of magnetic Prandtl number γ = 0.1 gets poor amplitude in current density but highest amplitude is sketched for higher γ = 0.5. The behavior of heat and fluid-flow in the presence of aligned magnetic field is associated with the phase angle and amplitude of oscillation. It is also noted that due to the increase in magnetic force parameter, ξ, there are wave like disturbances generate within the fluid layers. These disturbances are basically hydromagnetic waves which becomes more prominent as the strength of magnetic force parameter is increased.

**KEYWORDS**

PAPER SUBMITTED: 2020-05-05

PAPER REVISED: 2020-06-07

PAPER ACCEPTED: 2020-06-15

PUBLISHED ONLINE: 2020-10-25

**THERMAL SCIENCE** YEAR

**2020**, VOLUME

**24**, ISSUE

**Supplement 1**, PAGES [S225 - S235]

- Glauert, M. B., The Boundary-Layer on a Magnetized Plate, Journal Fluid Mech., 12 (1962), 4, pp. 625-638
- Ramamoorthy, P., Heat Transfer in Hydromagnetics, The Quarterly J. Mech. Appl. Math., 18 (1965), 1, pp. 31-40
- Chawla, S. S., Fluctuating Boundary-Layer on a Magnetized Plate, Proc. Camb. Phil. Soc., 63 (1967), 2, pp. 513-525
- Ingham, D. B., The Magnetogasdynamic Boundary-Layer for a Thermally Conducting Plate, The Quarterly J. Mech. Appl. Math., 20 (1967), 3, pp. 347-364
- Mohanty, H. K., The Effects of Magnetic Field Oscillations on the Boundary-Layer Flow Past a Magnetized Plate, Journal Appl. Math. Phys., 23 (1972), Mar., pp. 325-332
- Chamkha, A. J., Coupled Heat and Mass Transfer by Natural-Convection about a Truncated Cone in the Presence of Magnetic Field and Radiation Effects, Numerical Heat Trans Part A: Applications., 39 (2001), 5, pp. 511-530
- Takhar, H. S., et al., Unsteady Mixed Convection Flow from a Rotating Vertical Cone with a Magnetic Field, Heat. Mass. Trans., 39 (2003), 4, pp. 297-304
- Pop, I., et al., Mixed Convection along a Vertical Cone for Fluids of any Prandtl Number: Case of Constant wall temperature, Int. J. Num. Method. Heat. Fluid. Flow., 13 (2003), 7, pp. 815-829
- Pullepu, B., Chamkha, A. J., Transient Laminar MHD Free Convective Flow Past a Vertical Cone with Non-Uniform Surface Heat Flux, Non-Lin. Anal: Mod. Cont., 14 (2009), 4, pp. 489-503
- Mahmood, M., et al., Hydromagnetic-Flow of Viscous Incompressible Fluid Past a Wedge with Permeable Surface, Z. Angew. Math. Mech., 89 (2009), 3, pp. 174-188
- Ravindran, R., et al., Effects of Injection (Suction) on a Steady Mixed Convection Boundary-Layer Flow over a Vertical Cone, Int. J. Num. Method. Heat. Fluid. Flow., 19 (2009), 3-4, pp. 432-444
- Mahdy, A., et al., Double-Diffusive Convection with Variable Viscosity from a Vertical Truncated Cone in Porous Media in the Presence of Magnetic Field and Radiation Effects, Computer. Math. App., 59 (2010), 12, pp. 3867-3878
- Ashraf, M., et al., Thermal Radiation Effects on Hydromagnetic Mixed Convection Flow along a Magnetized Vertical Porous Plate, Mathematical Problems in Engineering, 2010 (2010), 686594
- Ashraf, M., et al., Computational Study of Combined Effects of Conduction-Radiation and Hydromagnetics on Natural-Convection Flow Past Magnetized Permeable Plate, Appl. Math. Mech. Engl. Ed., 33 (2012), 6, pp. 731-748
- Ashraf, M., et al., Fluctuating Hydromagnetic Natural-Convection Flow Past a Magnetized Vertical Surface in the Presence of Thermal Radiation, Thermal Science, 16 (2012), 4, pp. 1081-1096
- Chamkha, A. J., Rashad, A. M., Unsteady Heat and Mass Transfer by MHD Mixed Convection Flow from a Rotating Vertical Cone with Chemical Reaction and Soret and Dufour Effects, Canad. J. Chem. Eng., 92 (2013), 4, pp. 758-767
- Patrulescu, F. O., et al., Mixed Convection Boundary-Layer Flow from a Vertical Truncated Cone in a Nanofluid, International Journal of Numerical Methods for Heat and Fluid-Flow, 24 (2015), 5, pp. 1175-1190
- Hayat, T., et al., Convective Heat and Mass Transfer in Flow by an Inclined Stretching Cylinder, Journal Mol. Liq., 220 (2016), Aug., pp. 573-580
- Hayat, T., et al., The MHD Mixed Convection Flow of Burger's Fluid in a Thermally Stratified Medium, Journal Aerospace. Eng., 29 (2016), 6, pp. 1-7
- Hayat, T., et al., Mixed Convection Flow of a Burgers Nanofluid in the Presence of Stratifications and Heat Generation/Absorption, Europ. Phy. J. Plus., 131 (2016), Aug., pp. 253
- Hayat, T., et al., Analysis of Thixotropic Nanomaterial in a Doubly Stratified Medium Considering Magnetic Field Effects, Int. J. Heat. Mass. Trans., 102 (2016), Nov., pp. 1123-1129
- Ashraf, M., et al., Effects of Temperature Dependent Viscosity and Thermal Conductivity on Mixed Convection Flow Along a Magnetized Vertical Surface, Int. J. Num. Methods. Heat. Fluid. Flow., 26 (2016), 5, pp. 1580-1592
- Ashraf, M., Fatima, A., Numerical Simulation of the Effect of Transient Shear Stress and Rate of Heat Transfer around Different Position of Sphere in the Presence of Viscous Dissipation, Journal Heat. Trans., 140 (2018), 6, 061701
- Sudhagar, P., et al., Magnetohydrodynamics Mixed Convection Flow of a Nanofluid in an Isothermal Vertical Cone, Journal of Heat Transfer, 139 (2017), 3, 034503
- Reddy, P. S., et al., Magnetohydrodynamic (MHD) Boundary-Layer Heat and Mass Transfer Characteristics of Nanofluid over a Vertical Cone under Convective Boundary Condition, Propulsion Power Research, 7 (2018), 4, pp. 308-319
- Akgul, A., et al., New Method for Investigating the Density Dependent Diffusion NAGUMO Equation, Thermal Science, 22 (2018), Suppl. 1, pp. S143-S152
- Inc, M., et al., Modified Variational Iteration Method for Straight Fins with Temperature Dependent Thermal Conductivity, Thermal Science, 22 (2018), Suppl. 1, pp. S229-S236
- Kilicman, A., et al., Analytical Approximate Solution for Fluid-Flow in the Presence of Heat and Mass Transfer, Thermal Science, 22 (2018), Suppl. 1, pp. S259-S264
- Partohaghigh, M., et al., Fictious Time Integration Method for Solving the Time Fractional Gas Dynamic Equation, Thermal Science, 23 (2019), Suppl. 6, pp. S2009-S20016