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Effects of Viscous Dissipation and Transverse Magnetic Field Heat Transfer Over a Stretching Cylinder Under Convective Boundary Condition
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A numerical treatment for axi-symmetric flow and heat transfer due to a stretching cylinder under the influence of a uniform magnetic field, viscous dissipation and convective condition is presented. The governing partial differential equations are converted into nonlinear, ordinary, and coupled differential equations and are solved using Keller-Box method. The effects of important parameters such as magnetic parameter, curvature parameter, Prandtl number, Eckert number and the local Biot number are described through graphs. The numerical results are compared with the published data and are found to be in good agreement.
Keywords
MHD, Viscous Dissipation, Heat Transfer, Convective Heating, Finite Difference Method.
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- Rehman A, Nadeem S. Mixed convection heat transfer in micropolar nanofluid over a vertical slender cylinder. Chin Phys Lett. 2012; 29(12): 124701.
- Olanrewaju PO, Okedayo GT, Gbadeyan JA. Effects of thermal radiation on magneto hydro dynamic (MHD) flow of a micro polar fluid towards a stagnation point on a vertical place. Int.J. Of App.Sci. and Tech 2011; 6: 219-230.
- Gangadhar K. Radiation and viscous dissipation effects on chemically reacting MHD boundary layer flow of heat and mass transfer through a porous vertical flat plate. Journal of Energy, Heat and Mass Transfer. 2012; 34: 245-259.
- Mohammed Ibrahim S, Gangadhar K, Bhaskar Reddy N. Radiation and Mass Transfer Effects on MHD Oscillatory Flow in a Channel Filled with Porous Medium in the presence of Chemical Reaction. Journal of Applied Fluid Mechanics. 2011; 8(3): 529-537.
- Rawat S, Kapoor S, Bhargava R. MHD Flow and heat and Mass Transfer of Micropolar Fluid over a Nonlinear Stretching Sheet with Variable Micro Inertia Density,Heat Flux and Chemical Reaction in a Non-Darcy Porous Medium. Journal of Applied Fluid Mechanics. 2016; 9(1): 321-331.
- Patrick Oosthuizen H, David N. An Introduction to Convective Heat Transfer Analysis. WCB McGraw-Hill, Singapore. 1999.
- Brinkman HC. Heat transfer in capillary flow I. Applied Sci Res. A2. 1951; 120–124.
- Tyagi VP. Laminar forced convection of a dissipative fluid in a channel. J. Heat Transfer. 1996; 88: 161–169.
- Khan U, Ahmed N, Mohyud‑Din ST. Influence of viscous dissipation and Joule heating on MHD bio‑ convection flow over a porous wedge in the presence of nanoparticles and gyrotactic microorganisms. SpringerPlus. 2016; 5: 20-43. DOI 10.1186/s40064-016-3718-8.
- Ramandevi B, Ramana Reddy JV, Sugunamma V, Sandeep N. Combined influence of viscous dissipation and non-uniform heat source/sink on MHD non-Newtonian fluid flow with Cattaneo- Christov heat flux. Alexandria Eng. J. 2017. http://dx.doi.org/10.1016/j.aej.2017.01.026
- Aziz A. A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. Commun. Nonlinear Sci. Numer. Simulat. 2009; 14: 1064-1068.
- Bataller RC. Radiation effects for the Blasius and Sakiadis flows with a convective surface boundary condition. Appl. Math. Comput. 2008;206: 832-840.
- Gangadhar K, Bhaskar Reddy N, Kameswaran PK. Similarity Solution of Hydro-Magnetic Heat and Mass Transfer over a Vertical Plate with a Convective Surface BoundaryCondition and Chemical Reaction. International Journal of Nonlinear Science. 2012; 13(3): 298-307.
- Ishak A. Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition. Appl. Math. Computation. 217: 837-842.
- Makinde OD, Aziz A. Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int. J. Therm. Sci. 2011; 50: 1326-1332.
- Mukhopadhyay S. MHD boundary layer slip flow along a stretching cylinder. Ain Shams Eng. J. 2013; 4: 317–324.
- Bachok N, Ishak A. Flow and heat transfer over a stretching cylinder with prescribed surface heat flux. Malays. J. Math. Sci. 2010; 4: 159–169.
- Ishak A, Nazar R, Arifin NM, Ali FM, Pop I. MHD stagnation-point flow towards a stretching sheet with prescribed surface heat flux. Sains Malays. 2011; 40: 1193–1199.
- Liu IC. A note on heat and mass transfer for a hydromagnetics flow over a stretching sheet. Int. Commun. Heat Mass Transf. 2011; 32: 1075–1084.
- Amanulla CH, Nagendra N, Suryanarayana Reddy M. Numerical Study of Thermal and Momentum Slip Effects on MHD Williamson Nanofluid from an Isothermal Sphere. Journal of Nanofluids. 2017; 6(6): 1111–1126.
- Amanulla CH, Nagendra N, Suryanarayana Reddy M. MHD Flow and Heat Transfer in a Williamson Fluid from a Vertical Permeable Cone with Thermal and Momentum Slip Effects: A Mathematical Study. Frontiers in Heat and Mass Transfer. 2017; 8 (40).
- Subba Rao A, Amanulla CH, Nagendra N, Bég OA, Kadir A. Hydromagnetic flow and Heat Transfer in a Williamson Non-Newtonian fluid from a Horizontal Circular Cylinder with Newtonian Heating. Int. J. Appl. Comput. Math. 2017; 1-21.
- Gaffar SA, Prasad VR, Reddy EK. Magnetohydrodynamic free Convection flow and heat transfer of non-Newtonian Tangent Hyperbolic fluid from horizontal circular cylinder with Biot number effects. International Journal of Applied and Computational Mathematics. 2017; 3(2): 721-743.
- Abdul Gaffar S, Ramachandra Prasad V. Computational study of non-Newtonian Eyring–Powell fluid from a vertical porous plate with biot number effects. Journal of the Brazilian Society of Mechanical Sciences and Engineering.
- Butt AS, Ali A. Computational study of entropy generation in magnetohydrodynamic flow and heat transfer over an unsteady stretching permeable sheet. Eur. Phys. J. Plus. 2014; 129(1): 13.
- Fang T, Zhang J, Yao S. Slip MHD viscous flow over a stretching sheet-an exact solution. Commun. Nonlinear Sci. Numer. Simul. 2009; 14: 3731–3737.
- Mukhopadhyay S. Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder. Front. Chem. Sci. Eng. 2011; 5: 385–391.
- Mabood F, Lorenzini G, Pochai N, Muhammad Ibrahim S. Effects of prescribed heat flux and transpiration on MHD axisymmetric flow impinging on stretching cylinder. Continuum Mech. Thermodyn. DOI 10.1007/s00161-016-0519-9.
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