STEADY MHD SLIP FLOW OVER A PERMEABLE STRETCHING CYLINDER WITH THERMAL RADIATION

Authors

  • Sharad Sinha Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan-302004, India https://orcid.org/0000-0002-0071-1350
  • Deepak Kumar Department of Mathematics, Govt. PG College, Mandsaur, Madhya Pradesh-458001, India
  • Anil Sharma Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan-302004, India

DOI:

https://doi.org/10.29121/ijetmr.v8.i11.2021.1062

Keywords:

Slip Flow, MHD, Radiation, Stretching Cylinder, Heat Source, Porous Medium

Abstract

Aim of the paper is to investigate the effects of thermal radiation and velocity slip on steady MHD slip flow of viscous incompressible electrically conducting fluid over a permeable stretching cylinder saturated in porous medium in the presence of external magnetic field. The governing nonlinear partial differential equations are transformed into ordinary differential equations by suitable similarity transformation and solved numerically using Runge-Kutta fourth order method with shooting technique. Effect of various physical parameters on fluid velocity, temperature, skin –friction coefficient and Nusselt number are presented through graphs and discussed numerically.

Downloads

Download data is not yet available.

References

Ali, M.E. (1994). Heat transfer characteristics of a continuous stretching surface. Heat Mass Transfer, 29(4), 227-234. Retrieved from https://doi.org/10.1007/BF01539754Anderson, H.I. (2002). Slip flow past a stretching surface. Acta Mechanica, 158, 121-125. Retrieved from https://doi.org/10.1007/BF01463174 Ariel, P.D., Hayat, T. and Asghar, S. (2006). The flow of an elastico-viscous fluidpast a stretching sheet with partial slip. Acta Mechanica, 187, 29-35. Retrieved from https://doi.org/10.1007/s00707-006-0370-3 Chen, C.K. and Char, M.I. (1988). Heat transfer of a continuous stretching surface with suction or blowing. Journal of Mathematical Analysis and Applications, 135(2), 568-580. Retrieved from https://doi.org/10.1016/0022-247X(88)90172-2 Cortell, R. (2005). Flow and heat transfer of a fluid through a porousmedium over a stretching surface with internal heat generation/absorption and suction/blowing. Fluid Dynamics Research, 37(4), 231-45. Retrieved from https://doi.org/10.1016/j.fluiddyn.2005.05.001 Crane, L.J. (1970). Flow past a stretching plate. Zeitschrift Für Angewandte Mathematik Und Physik (ZAMP), 21(4), 645-647. Retrieved from https://doi.org/10.1007/BF01587695Elbarbary, E.M.E. and Elgazery, N.S. (2005). Flow and heat transfer of a micropolar fluid in an axisymmetric stagnation flow on a cylinderwith variable properties and suction (numerical study). Acta Mechanica, 176, 213-229. Retrieved from https://doi.org/10.1007/s00707-004-0205-z Fang, T., Zhang, J. and Yao, S. (2009). Slip MHD viscous flow over a stretching sheet - An exact solution. Communications in Nonlinear Science and Numerical Simulation, 14, 3731-3737. Retrieved from https://doi.org/10.1016/j.cnsns.2009.02.012Ganesan, P. and Loganathan, P. (2003). Magnetic field effect on a moving vertical cylinder with constant heat flux. Heat Mass Transfer, 39, 381-386. Retrieved from https://doi.org/10.1007/s00231-002-0383-y Grubka, L.G. and Bobba, K.M. (1985). Heat transfer characteristics of a continuous stretching surface with variable temperature. The ASME Journal of Heat Transfer, 107, 248-250. Retrieved from https://doi.org/10.1115/1.3247387

Sharad Sinha, Deepak Kumar, and Anil SharmaInternational Journal of Engineering Technologies andManagement Research35Gupta, P.S. and Gupta, A.S. (1977). Heat and mass transfer on a stretching sheet with suction and blowing. The Canadian Journal of Chemical Engineering, 55, 744-756. Retrieved from https://doi.org/10.1002/cjce.5450550619 Hayat, T., Abbas, Z. and Sajid, M. (2006). Series solution for the upper-convected Maxwell fluid over a porous stretching plate. Physics Letters A, 358, 396-403. Retrieved from https://doi.org/10.1016/j.physleta.2006.04.117 Hayat, T., Saeed, Y., Asad, S. and Alsaedi, A. (2018). Convective heat and mass transfer in flow by an inclined stretching cylinder. Journal of Molecular Liquids, 220, 573-580. Retrieved from https://doi.org/10.1016/j.molliq.2016.03.047Ishak, A. and Nazar, R. (2009). Laminar boundary layer flow along a stretching cylinder. European Journal of Scientific Research, 36(1), 22-29. Ishak, A., Nazar, R. and Pop, I. (2008). Magnetohydrodynamic (MHD) flow and heat transfer due to a stretching cylinder. Energy Conversion and Management, 49, 3265-3269. Retrieved from https://doi.org/10.1016/j.enconman.2007.11.013Ishak, A., Nazar, R. and Pop, I. (2008). Uniform suction/blowing effect on flow and heat transfer due to a stretching cylinder. Applied Mathematical Modeling, 32(10), 2059-2066. Retrieved from https://doi.org/10.1016/j.apm.2007.06.036 Lin, H.T. and Shih, Y.P. (1980). Laminar boundary layer heat transfer along static and moving cylinders. Journal of the Chinese Institute of Engineers, 3, 73-79. Retrieved from https://doi.org/10.1080/02533839.1980.9676650 Lin, H.T. and Shih, Y.P. (1981). Buoyancy effects on the laminar boundary layerheat transfer along vertically moving cylinders. Journal of the Chinese Institute of Engineers, 4, 47-51. Retrieved from https://doi.org/10.1080/02533839.1981.9676667 Merkin, J. H., Najib, N., Bachok, N., Ishak, A. and Pop, I. (2017). Stagnation-point flow and heat transfer over an exponentially stretching/shrinking cylinder. Journal of the Taiwan Institute of Chemical Engineers, 74, 65-72. Retrieved from https://doi.org/10.1016/j.jtice.2017.02.008Mukhopadhyay, S. (2011). Chemically reactive solute transfer in aboundary layer slip flow along a stretching cylinder. Frontiers of Chemical Science and Engineering, 5(3), 385-391. Retrieved from https://doi.org/10.1007/s11705-011-1101-4 Mukhopadhyay, S. (2013). MHD boundary layer slip flow along a stretching cylinder. Ain Shams Engineering Journal, 4, 317-324. Retrieved from https://doi.org/10.1016/j.asej.2012.07.003 Sinha, S. and Yadav, R.S. (2021). Steady MHD mixed convection Newtonian fluid flow along a vertical stretching cylinder embedded in porous medium. International Journal of Engineering Technologies and Management Research, 8(7), 45-57. Retrieved from https://doi.org/10.29121/ijetmr.v8.i7.2021.990 Wang, C.Y. (1998). Fluid flow due to a stretching cylinder. Physics of Fluids, 31(3), 466-468. Retrieved from https://doi.org/10.1063/1.866827Wang, C.Y. (2002). Flow due to a stretching boundary with partial slip-an exact solution of the Navier-Stokes equations. Chemical Engineering Sciecnce, 57,

Steady MHD Slip Flow Over A Permeable Stretching Cylinder with Thermal RadiationInternational Journal of Engineering Technologies andManagement Research363745-3747. Retrieved from https://doi.org/10.1016/S0009-2509(02)00267-1 Xu, H. and Liao, S.J. (2005). Series solutions of unsteady magnetohydrodynamics flows of non-Newtonian fluids caused by an impulsively stretching plate. Journal of Non-Newtonian Fluid Mechanics, 129, 46-55. Retrieved from https://doi.org/10.1016/j.jnnfm.2005.05.005 Yu, S., Yu, P. and Tang, T. (2018). Effect of thermal buoyancy on flow and heat transfer around a permeable circular cylinder with internal heat generation. International Journal of Heat and Mass Transfer, 126, 1143-1163. Retrieved from https://doi.org/10.1016/j.ijheatmasstransfer.2018.06.056

Downloads

Published

2021-11-22

How to Cite

Sinha, S., Kumar, D., & Sharma, A. (2021). STEADY MHD SLIP FLOW OVER A PERMEABLE STRETCHING CYLINDER WITH THERMAL RADIATION. International Journal of Engineering Technologies and Management Research, 8(11), 23–36. https://doi.org/10.29121/ijetmr.v8.i11.2021.1062