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Aleksandar Z. BORIČIĆ Miloš M. JOVANOVIĆ Branko Z. BORIČIĆ


The unsteady 2-D dynamic, thermal, and diffusion magnetohydrodynamic laminar boundary layer flow over a horizontal cylinder of incompressible and electrical conductivity fluid, in mixed convection in the presence of heat source or sink and chemical reactions. The present magnetic field is homogenous and perpendicular to the body surface. It is assumed that induction of outer magnetic field is a function of longitudinal co-ordinate outer electric field is neglected and magnetic Reynolds number is significantly lower than one, i. e. considered the problem is in approximation without induction. Fluid electrical conductivity is constant. Free stream velocity, temperature, and concentration on the body are functions of longitudinal co-ordinate. The developed governing boundary layer equations and associated boundary conditions are made dimensionless using a suitable similarity transformation and similarity parameters. System of non-dimensionless equations is solved using the implicit finite difference threediagonal and iteration method. Numerical results are obtained and presented for different Prandtl, Eckart, and Schmidt numbers, and values: magnetic parameter, temperature, and diffusion parameters, buoyancy temperature parameters, thermal parameter, and chemical reaction parameter. Variation of velocity profiles, temperature and diffusion distributions, and many integral and differential characteristics, boundary layer, are evaluated numerically for different values of the magnetic field. Transient effects of velocity, temperature and diffusion are analyzed. A part of obtained results is given in the form of figures and corresponding conclusions.

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BORIČIĆ, Aleksandar Z.; JOVANOVIĆ, Miloš M.; BORIČIĆ, Branko Z.. UNSTEADY MAGNETOHYDRODYNAMIC THERMAL AND DIFFUSION BOUNDARY LAYER FROM A HORIZONTAL CIRCULAR CYLINDER. Thermal Science, [S.l.], v. 20, p. S1367-S1380, feb. 2017. ISSN 2334-7163. Available at: <http://thermal-science.tech/journal/index.php/thsci/article/view/1656>. Date accessed: 29 june 2017. doi: https://doi.org/10.2298/TSCI16S5367B.
Received 2017-02-07
Accepted 2017-02-07
Published 2017-02-07


[1] Blum, E. J., Mihajlov, I. A., Heat Transfer in Electro Conductive Fluid in Presence of Transversal Magnetic Field, Magnetohydrodinamics, 5 (1966), pp. 2-18
[2] Sparrow, E., Cess, R., Effect of Magnetic Field on Free Convection Heat Transfer, Int. J. Heat and Mass Transfer, 3 (1961), 4, pp. 267-274
[3] Rosow, J., On Flow of Electrically Conducting Fluid over a Flat Plate in the Presence of a Transverse Magnetic Field, Report, No.1358, NASA, USA, 1958
[4] Yuferev, V., About an Approximate Method of Calculation of the Laminar Boundary Layer of the Conducting Liquid (in Russian), Fluid Dynamics, 1 (1958), pp 124-127
[5] Karjakin, Y., MHD Laminar Boundary Layer Axisimetrical Flow with Spin (in Russian), Magnetic Hydrodynamics, 2 (1968), pp 47-54
[6] Savić, S., et al., Investigation of the Ionized Gas Flow Adjacent to Porous Wall in the Case when Electroconductivity is a Function of the Longitudinal Velocity Gradient, Thermal Science, 14 (2010), 1, pp. 89-102
[7] Nikodijević, D., et al., Generalized Similarity Method in Unsteady Two-Dimensional MHD Boundary Layer on the Body wich Temperature Varies with Time, Inter. Journal of Engineering, Science and Technology, 1 (2009), 1, pp. 206-215
[8] Boričić, Z., et al., Universal Equations of Unsteady Two-Dimensional MHD Boundary Layer on the Body with Temperature Gradient Along Sutface, WSEAS Trans. on Fluid Mechanics, 4 (2009), 1, pp. 97-106
[9] Nikodijević, D., et al., Unsteady Plane MHD Bondary Layer Flow of a Fluid of Variable Electrical Conductivity, Thermal Science, 14 (2010), Suppl. 2, pp. S171-S182
[10] Nikodijević, D., at al., Parametric Method for Unsteady Two-Dimenssional MHD Boundary Layer on a Body whose the Temperature Varies with Time, Archives of Mechanics, Polish Akademy of Science, v 63 (2011), 11, pp. 57-71
[11] Nikodiević, D., et al., Application of Parametric Method to the Solution of Unsteady Temperature MHD Boundary Layer on the Porous Arbitraty Scope Body, Proceedings, 2nd International Conference, Mechanical Engineering in XXI Century, Nis, Serbia, 2013, pp. 139-144
[12] Chamkha, A., et al., Thermal Radiation Effects on MHD Forced Convection Flow Adjacent to a Non- Isothermal Wedge in the Presence of a Heat Source or Sink, Heat and Mass Tansfer, 39 (2003), 4, pp. 305-312
[13] Chen, C., Heat and Mass Transfer in MHD Flow by Natural Convection from a Permeable, Inclined Surface with Wall Temperature and Concentration, Acta Mechanica, 172 (2004), 3-4, pp. 219-235
[14] Subhas, A., et al., Buoyancy Force Thermal Radiation Effects in MHD Boundary Layer Visco-Elastic Fluid over Continuously Moving Stretching Surface, International Journal of Thermal Science, 44 (2005), 5, pp. 465-476
[15] Rashad, A., Bakier, A., MHD Effects on Non-Darcy Forced Convection Boundary Layer Flow Past a Permeable Wedge in Porous Medium with Uniform Heat Flux, Nonlinear Analysis and Control, 14 (2009), 2, pp. 249-261
[16] Rajeswari, R., et al., Chemical Reaction, Heat and Mass Transfer on Nonlinear MHD Boundary Layer Flow Through a Vertical Porous Surface in the Presence of Suction, Applied Mathematical Sciences, 3 (2009), 20, pp. 2469-2480
[17] Saleh, M., et al., Heat and Mass Transfer in MHD Visco-Elastic Fluid Flow Through a Porous Medium Over a Stretching Sheet with Chemical Reaction, Applied Mathematics, 1 (2010), 6, pp. 446-455
[18] Kandasamy, R., Muhamian, A., Scaling Transformation for the Effect of Temperature-Dependent Fluid Viscosity with Thermophoresis Particle Deposition on MHD Free Convection Heat and Mass Transfer over a Porous Stretching Surface, Trans Porous Medium, 84 (2010), 2, pp. 549-568
[19] Miraj, A., et al., Conjugate Effects of Radiation and Joule Heating on MHD Free Convection Flow Along a Sphere with Heat Generation, American Journal of Computational Marhematics, 1 (2011), 1, pp. 18-25
[20] Aldoss, T. K., et al., MHD Mixed Convection from a Horizontal Circular Cylinder, Numerical Heat Transfer, 30 (1996), 4, pp. 379-396
[21] Yih, K., Effect of Uniform Blowing/Suction on MHD Natural Convecton over a Horizontal Cylinder: UWT or UHT, Acta Mechanica, 144 (2000), 1-2, pp. 17-27
[22] Amin, M., Combined Effects of Viscous Dissipation and Joule Heating on MHD Forced Convection over a Nonisothermal Horizontal Cylinder Embeded in a Fluid Saturated Porous Medium, Journal of Magnetism and Magnetic Materials 263 (2003), 3, pp. 337-343
[23] Nazar, R., et al., Mixed Convection Boundary Layer Flow from a Horizontal Circular Cylinder a Constant Surface Heat Flux, Heat and Mass Transfer, 40 (2004), 3-4, pp. 219-227
[24] Molla, M., et al., MHD Natural Convection Flow from an Isothermal Horizontal Circular Cylinder under Consideration of Temperature Dependent Viscosity, Enginering Computations, 29 (2012), 8, pp. 875-887
[25] Boričić, A., et al., MHD Dynamic and Diffusion Boundary Layer Flow of Variable Electrical Conductivity Fluid past a Circular Cylinder, Procedeedings, 15th Symposium on Thermal Science and Engineering of Serbia, Sokobanja, Serbia, SINTERM, 2011, pp. 66-762
[26] Boričić, A., et al., Magnetohydrodynamic Effects on Unsteady Dynamic Thermal and Diffusion Boundary Layer Flow over a Horzontal Circular Cylinder, Thermal Science, 12 (2012), Suppl. 2, pp. S311-S321
[27] Boričić, A., et al., Heat and Mass Transfer on Unsteady MHD Dynamic, Temperature and Diffusion Boundary Layer Flow over a Horizontal Circular Cylinder, Proceedings, 2nd International Conference, Mechanical Engineering in XXI Century, Nis, Serbia, 2013, p. 145-150