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Suryanarayana Reddy, M.
- Numerical Exploration of Navier Slip and Newtonian Heating Effects on the Flow of a Non-Newtonian Fluid from an Inclined Surface
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Authors
Affiliations
1 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, IN
2 Department of Mathematics, JNTUA College of Engineering, Pulivendula-516390, IN
1 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, IN
2 Department of Mathematics, JNTUA College of Engineering, Pulivendula-516390, IN
Source
Research Journal of Science and Technology, Vol 9, No 3 (2017), Pagination: 339-344Abstract
A numerical analysis used to simulate forced convection heat transfer of incompressible Jeffery’s fluid past an inclined vertical plate with presence of Naiver slip and Newtonian heating effects. The governing partial differential equations are remodeled into ordinary differential equations by using non-similarity transformation. The ensuing differential equations are resolved numerically by using centered finite difference technique (Keller Box Method). The results of flow and heat analysis on the local skin friction coefficient and local Nusselt number profiles are given diagrammatically. Results shows that Navier slip parameter enhance the heat transfer rate and suppress the friction at wall, but opposite effect can be found the presence of Newtonian heating. The simulation is relevant to polymer coating thermal processing.Keywords
Navier Slip, Newtonian Heating, Inclined Plate, Skin Friction, Nusselt Number.References
- Kothandapani M, Srinivas S.Peristaltic transport of a Jeffery fluid under the effect of magnetic field in an asymmetric channel. Int. J. Nonlinear Mech. 2008; 43: 915-924. https://doi.org/10.1016/j.ijnonlinmec.2008.06.009.
- Srinivasa Raju R, Jithender Reddy G, Anand Rao J, Rashidi MM, Rama Subba Reddy Gorla. Analytical and Numerical Study of Unsteady MHD Free Convection Flow over an Exponentially Moving Vertical Plate With Heat Absorption. International Journal of Thermal Sciences. 2016; 107: 303 –315. https://doi.org/10.1016/j.ijthermalsci.2016.04.005.
- Nadeem S, Akbar NS. Peristaltic flow of a Jeffery fluid with variable viscosity in an asymmetric channel. Z. Naturforsch A. 2009; 64a: 713-722.https://doi.org/10.1515/zna-2009-1107
- HayatT, Shehzad SA, Qasim M, Obaidat S. Radiative flow of Jeffery fluid in a porous medium with power law heat flux and heat source. Nuclear Engineering and Design. 2012; 243: 15-19.https://doi.org/10.1016/j.nucengdes.2011.11.005.
- Hayat T, Alsaedi A, Shehzad SA. Three dimensional flow of Jeffery fluid with convective surface boundary conditions. Int. J. Heat and Mass Transfer. 2012; 55: 3971-3976. https://doi.org/10.1016/j.ijheatmasstransfer.2012.03.027.
- Nadeem S, Zaheer S, Fang T. Eff ects of thermal radiation on the boundary layer flow of a Jeff rey fluid over an exponentially stretching surface. Numerical Algorithms. 2011; 57: 187– 205.https://doi.org/10.1007/s11075-010-9423-8
- Pop I. Kumari M, Nath G.Non-Newtonian boundary layers on a moving cylinder. Int. J. Eng. Sci. 1990; 28: 303-312.
- Amanulla CH, Nagendra N, Suryanarayana Reddy M,Subba Rao,Sudhakar Reddy M. Heat Transfer in a Non-Newtonian Jeffery Fluid from an Inclined Vertical Plate. Indian Journal of Science and Technology. 2017; 10(25).
- http://dx.doi.org/10.17485/ijst/2017/v10i25/104644.
- Amanulla CH, Nagendra N, Suryanarayana Reddy M. Multiple Slip Effects on MHD and Heat Transfer in a Jeffery Fluid over an Inclined Vertical Plate. International Journal of Pure and Applied Mathematics.2017; 113(7): 137-145.
- Nadeem S, Mehmood R, Akbar NS. Oblique stagnation flow of Jeffery fluid over a stretching convective surface: Optimal Solution. Int. J. Num. Meth. Heat and Fluid Flow. 2015; 25(3): 454-471.
- 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, 2017.
- https://doi.org/10.1166/jon.2017.1405.
- Amanulla CH, Nagendra N, Suryanarayana Reddy M, Subba Rao A,Anwar Bég O. Mathematical Study of Non-Newtonian Nanofluid Transport Phenomena from an Isothermal Sphere. Frontiers in Heat and Mass Transfer.2017; 8, 29. http://dx.doi.org/10.5098/hmt.8.29
- Cebeci T, Bradshaw P. Physical and Computational Aspects of Convective Heat Transfer. Springer, New York. 1984.
- Keller HB. A new difference method for parabolic problems. J. Bramble (Editor), Numerical Methods for Partial Differential Equations. Academic Press, New York, USA. 1970.
- Subba Rao A, Amanulla CH, Nagendra N, Suryanarayana Reddy M, Bég O.A. Computational Analysis of Non-Newtonian Boundary Layer Flow of Nanofluid Past a Vertical Plate with Partial Slip. Modelling, Measurement and Control B. 2017; 86(1): 271-295.
- Subba Rao A,Amanulla CH, Nagendra N, Bég OA, Kadir A. Hydromagnetic flow and Heat Transfer in a Williamson NonNewtonian fluid from a Horizontal Circular Cylinder with Newtonian Heating. Int. J. Appl. Comput. Math. 2017; 1-21.
- http://dx.doi.org/10.1007/s40819-017-0304-x.
- Subba Rao A, Amanulla CH, Nagendra N, Suryanarayana Reddy M, Bég OA. Hydromagnetic Non-Newtonian Nanofluid Transport Phenomena Past an Isothermal Vertical Cone with Partial Slip: Aerospace Nanomaterial Enrobing Simulation. Heat Transfer – Asian Research. 2017; 00; 1-28. http://dx.doi.org/10.1002/htj.21299.
- 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.
- http://dx.doi.org/10.5098/hmt.8.40.
- Amanulla CH, Nagendra N, Subba Rao A, Anwar Bég O, Kadir A. Numerical exploration of thermal radiation and Biot number effects on the flow of a non- Newtonian MHD Williamson fluid over a vertical convective surface. Heat Trans Asian Res. 2017; 00: 1–19. https://doi.org/10.1002/htj.21303
- Anwar Bég O, Subba Rao A, Amanulla CH, Nagendra N, Suryanarayana Reddy M,Kadir A.Numerical Study of Hydromagnetic Non-Newtonian Nanofluid Transport Phenomena from a Horizontal Cylinder with Thermal Slip: Aerospace Nanomaterial Enrobing Simulation. Journal of Nanofluids. 2017; 7(1).https://doi.org/10.1166/jon.2018.1423.
- Magnetic Field Effect on Tangent Hyperbolic Fluid Towards Porous Plate with Suction/Injection
Abstract Views :407 |
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Authors
Affiliations
1 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, Andhra Pradesh, IN
2 Department of Mathematics, JNTUA College of Engineering, Pulivendula, Kadapa, Andhra Pradesh, IN
1 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, Andhra Pradesh, IN
2 Department of Mathematics, JNTUA College of Engineering, Pulivendula, Kadapa, Andhra Pradesh, IN
Source
Research Journal of Science and Technology, Vol 9, No 4 (2017), Pagination: 592-596Abstract
Present study investigates the convective flow and transfer of heat in non-Newtonian Tangent Hyperbolic fluid (incompressible) from a vertical porous plate with suction/injection effects. The transformed governing equations are solved subject to physically appropriate boundary conditions using Keller Box (finite-difference) scheme. The influence of emerging non-dimensional parameters discuss graphically, to be precise the Weissenberg number (We) , the power law index (n) , magnetic parameter (M) , Prandtl number (Pr) , suction/injection parameter (fw) and dimensionless tangential coordinate in the boundary layer regime are examined the effects of these parameters on surface heat transfer rate and local skin friction are also investigated tabular form.Keywords
Tangent Hyperbolic Fluid, Weissenberg Number, Power Law Index, Suction, Injection.References
- A.J. Friedman, S.J. Dyke, B.M. Phillips, Over-driven control for large-scale MR dampers, Smart Mater. Struct. 22 (2013) 045001, 15pp.
- Muhammad Naseer, Muhammad Yousaf Malik, Sohail Nadeem, Abdul Rehman, 2014, “The Boundary Layer Flow of Hyperbolic Tangent Fluid Over a Vertical Exponentially Stretching Cylinder” Alexandria Engineering Journal, 53, 747–750. http://dx.doi.org/10.1016/j.aej.2014.05.001
- Ali Abbas. M., Bai. Y.Q., Bhatti. M.M., Rashidi. M.M., 2016, “Three Dimensional Peristaltic Flow of Hyperbolic Tangent Fluid in Non-uniform Channel Having Flexible Walls” Alexandria Engineering Journal, 55, 653–662. http://dx.doi.org/10.1016/j.aej.2015.10.012
- Subba Rao. A., Ramachandra Prasad V., Nagendra. N, Bhaskar Reddy. N and Anwar Bég O. 2016, “Non-Similar Computational Solution for Boundary Layer Flows of Non-Newtonian Fluid From an Inclined Plate with Thermal Slip”, J. Applied Fluid Mechanics, 9, 795-807.
- Nadeem, S. and S. Akram (2011). Magneto hydrodynamic peristaltic flow of a hyperbolic tangent fluid in a vertical asymmetric channel with heat transfer. Acta Mech. Sin. 27(2), 237–250.
- Akbar, N. S., S. Nadeem, R. U. Haq and Z. H. Khan (2013). Numerical solution of Magneto hydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet. Indian J. Phys 87(11), 1121-1124.
- Nadeem, S. and S. Akram (2009). Peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel. ZNA 64a, 559–567.
- Subba Rao. A, V.R. Prasad, N. Bhaskar Reddy, O. Anwar Beg, 2015, “Modelling Laminar Transport Phenomena in a Casson Rheological Fluid from a Semi-Infinite Vertical Plate With Partial Slip”, Heat Transfer-Asian Research, 44(3), 272-291, http://10.1002/htj.21115
- Subba Rao. A, V.R. Prasad, N. Bhaskar Reddy and O. Anwar Beg,2015, “Modelling Laminar Transport Phenomena In A Casson Rheological Fluid From An Isothermal Sphere With Partial Slip”, Thermal science, 19(5), 1507-1519; http://10.2298/TSCI120828098S
- Subba Rao. A, V.R.Prasad, K. Harshavalli and O. Anwar Beg, 2016, “Thermal Radiation Effects on Non-Newtonian Fluid in a Variable Porosity Regime with Partial Slip”, J. Porous Media, 19(4), 313-329.
- Subba Rao. A, V. R. Prasad, V. Nagaradhika, O. Anwar Beg,2017, “Heat Transfer in Viscoplastic Boundary Layer Flow from a Vertical Permeable Cone with Momentum and Thermal Wall Slip: Numerical Study”, Heat Transfer Research; (In Press).
- L. Nagaraja, M. Sudhakar Reddy, Suryanayana Reddy, “Magneto hydrodynamic effects on non-Newtonian Eyring-Powell fluid from a circular cylinder with Soret and Dufour effects”, International Journal of Mathematical Archives, 8(6),153-166, 2017
- Subba Rao A., V. R Prasad , O. Anwar Beg and M. Rashidi, 2017, “Free Convection Heat and Mass Transfer of a Nanofluid Past a Horizontal Cylinder Embedded in a Non-Darcy Porous Medium, Journal of Porous Media; (In Press).