STEADY MHD MIXED CONVECTION NEWTONIAN FLUID FLOW ALONG A VERTICAL STRETCHING CYLINDER EMBEDDED IN POROUS MEDIUM

Authors

  • Sharad Sinha Department of Mathematics, University of Rajasthan, Jaipur, India
  • R. S. Yadav Department of Mathematics, University of Rajasthan, Jaipur, India https://orcid.org/0000-0002-0071-1350

DOI:

https://doi.org/10.29121/ijetmr.v8.i7.2021.990

Keywords:

Stretching Cylinder, Newtonian Fluid, Heat Source, Magnetic Field.

Abstract

A viscous electrically conducting fluid is considered and its steady mixed convective flow along a vertical stretching cylinder is investigated. It is assumed that the cylinder is embedded in a porous medium and, external magnetic field, heat source/sink are also taken into account. Suitable similarity transformations are used to reduce the governing equations and associated boundary conditions into a system of nonlinear ordinary differential equations. This system along with the boundary conditions is solved by fourth order Runge-Kutta method with shooting technique. Variations in fluid velocity and temperature due to various physical parameters such as heat source/sink parameter, mixed convection parameter, magnetic parameter are presented through graphs. Effect of these parameters on dimensionless shear stress and rate of heat transfer are discussed numerically through tables.

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References

[1] L. J. Crane, Flow Past a Stretching Plate, Z. Angew. Math. Phys., Vol.21, 1970, 645-647.
[2] T. S.Chen and A.Mucoglu,Buoyancy Effects on Forced Convection Along a Vertical Cylinder, ASME Journal of Heat Transfer, Vol.97, 1975, 198-203.
[3] P.Cheng, Similarity Solutions for Mixed Convection from Horizontal Impermeable Surfaces in Saturated Porous Media, International Journal of Heat and Mass Transfer, Vol. 20, 1977, 893-898.
[4] C. Y.Wang, The Three-Dimensional Flow Due to a Stretching Flat Surface, Physics of Fluids, Vol. 27, 1984, 1915-1917.
[5] L. J.Grubka and K. M.Bobba, Heat Transfer Characteristics of a Continuous Stretching Surface with Variable Temperature, ASME Journal of Heat Transfer, Vol.107, 1985, 248-250.
[6] K.Vajravelu, Convection Heat Transfer at a Stretching Sheet with Suction or Blowing, J. Math. Anal. Appl., Vol.188, 1994, pp. 1002-1011.
[7] P. G. Ganesan and P. H.Rani, Unsteady Free Convection MHD Flow Past a Vertical Cylinder with Heat and Mass Transfer, Int. J. Therm. Sci., Vol.39, 2000, 265-272.
[8] P. G. Siddheshwar and C. V.Srikrishna, Linear and Non-linear Analysis of Convection in a MicropolarFluid Occupying a Porous Medium, Int. J. Non-linear Mech., Vol.38, 2003, 1561-1579.
[9] C. L.Chang, Numerical Simulation for Natural Convection of MicropolarFluids Flow Along Slender Hollow Circular Cylinder with Wall Conduction Effect, Communication in Nonlinear Science and Numerical Simulation, Vol.13, 2008, 624-636.
[10] A.Ishak and R. Nazar, Laminar Boundary Layer Flow Along a Stretching Cylinder, European Journal of Scientific Research, Vol.36, 2009, 22-39.
[11] O.Aydin and A.Kaya, MHD-Mixed Convection from a Vertical Slender Cylinder,Commun. Nonlinear SCI Numer.Simulat., Vol.16, 2011, 1863-1873.
[12] C. Y.Wang, Natural Convection on a Vertical Stretching Cylinder, Commun. Nonlinear SCI Numer.Simulat., Vol.17, 2012, 1098-1103.
[13] P. M.Patil, S.Roy and I.Pop, Unsteady Effects on Mixed Convection Boundary Layer Flow from a Permeable Slender Cylinder due to Non-linearly Power Law Stretching, Computers & Fluids, Vol.56, 2012, 17-23.
[14] U.Mishra and G.Singh, Dual Solutions of Mixed Convection Flow with Momentum and Thermal Slip Flow over a Permeable Shrinking Cylinder, Computers & Fluids, Vol.93, 2014, 107-115.
[15] R. S.Yadav and P. R.Sharma, Effects of Porous Medium on MHD Fluid Flow along a Stretching Cylinder, Annals of Pure and Applied Mathematics, Vol. 6, 2014, 104-113.
[16] T.Hayat, M.S.Anwar, M.Farooq and A.Alsaedi, Mixed Convection Flow of Viscoelastic Fluid by a Stretching Cylinder with Heat Transfer, PLoS ONE, Vol.10, 2015, 1-20. https://doi.org/10.1371/journal.pone.0118815
[17] P. B. A.Reddy and R.Das, Estimation of MHD Boundary Layer Slip Flow over a Permeable Stretching Cylinder in the Presence of Chemical Reaction Through Numerical and Artificial Neural Network Modeling, Engineering Science and Technology, Vol.19, 2016, 1108–1116. http://dx.doi.org/10.1016/j.jestch.2015.12.013
[18] N. F. H.Md. Sohut, A. S.Abd Aziz and Z.Md. Ali, Double stratification effects on boundary layer over a stretching cylinder with chemical reaction and heat generation,Journal of Physics: Conf. Series 890, 2017, 012019, 1-6. doi :10.1088/1742-6596/890/1/012019
[19] P. R. Sharma, S. Sinha, R. S. Yadav and A. N. Filippov, MHD MixedConvective Stagnation Point Flow Along a Vertical Stretching Sheet with Heat Source/Sink, International Journal of Heat and Mass Transfer, Vol. 117, 2018, 780-786.
[20]V. Vinita and VikasPoply, Impact of Outer Velocity MHD Slip Flow and Heat Transfer of NanofluidPast a Stretching Cylinder, Materials Today: Proceedings, Vol. 26, 2019, 3429-3435.

Published

2021-07-21

How to Cite

Sinha, S., & 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. https://doi.org/10.29121/ijetmr.v8.i7.2021.990