STEADY MHD MIXED CONVECTION NEWTONIAN FLUID FLOW ALONG A VERTICAL STRETCHING CYLINDER EMBEDDED IN POROUS MEDIUM
DOI:
https://doi.org/10.29121/ijetmr.v8.i7.2021.990Keywords:
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.
Downloads
References
[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
How to Cite
Issue
Section
License
License and Copyright Agreement
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
- That it is not under consideration for publication elsewhere.
- That its release has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
Copyright
Authors who publish with International Journal of Engineering Technologies and Management Research agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors can enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or edit it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) before and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
For More info, please visit CopyRight Section