“Study of Magnetohydrodynamic Nanofluid Boundary Layer Flow Past a Stretching Surface in a Porous Medium”
Keywords:
Magnetic field, Porous medium, Boundary layer, Joule heating, Spectral collocation method.Abstract
The magnetic effects on nanofluid flow have significant industrial applications; particularly in the cooling sector. The present study numerically investigates the boundary layer flow created by the impact of magnetic field onto a stretching sheet in a porous medium. The flow governing partial differential equations have been transformed into ordinary differential equations using similarity transformations. These ordinary differential equations are then solved numerically using the shooting technique and the spectral collocation technique. The resulting equations include the effect of various parameters such as permeability, Hartmann number, Eckert number, Lewis number, Brownian motion, Prandtl number and thermophoresis. Numerical results are presented graphically to illustrate the effects of these parameters on velocity, thermal and concentration boundary layer. The velocity boundary layer thickness reduces with an increase in permeability and magnetic field strength whereas thermal boundary layer thickness increases with an increase in Brownian motion, Lewis number, thermophoresis and magnetic parameter and thickness of thermal boundary layer reduces with a rise in Eckert number and Prandtl number.
Downloads
References
Jagadish V. Tawade, C.N. Guled, Samad Noeiaghdam, Unai Fernandez-Gamiz, Vediyappan Govindan, Sundarappan Balamuralitharan (2023) “Effects Of Thermophoresis And Brownian Motion For Thermal And Chemically Reacting Casson Nanofluid Flow Over A Linearly Stretching Sheet”, Results In Engineering 15 (2022) 100448.
S. P. Anjali Devi And S. Mekala (2019) “Role Of Brownian Motion And Thermophoresis Effects On Hydromagnetic Flow Of Nanofluid Over A Nonlinearly Stretching Sheet With Slip Effects And Solar Radiation” Int. J. Of Applied Mechanics And Engineering, 2019, Vol.24, No.3, Pp.489-508.
Sami Ullah Khan And Sabir Ali Shehzad (2019) “Brownian Movement And Thermophoretic Aspects In Third Grade Nanofluid Over Oscillatory Moving Sheet” PHYSSCR-107798.R1.
Zeeshan, Haroon Ur Rasheed, Waris Khan, Ilyas Khan, Nawa Alshammari & Nawaf Hamadneh (2022) “Numerical Computation Of 3D Brownian Motion Of Thin Film Nanofluid Flow Of Convective Heat Transfer Over A Stretchable Rotating Surface” Scientific Reports | (2022) 12:2708
I. Swain, S. R. Mishra And H. B. Pattanayak (2015) “Flow Over Exponentially Stretching Sheet Through Porous Medium With Heat Source/Sink” Hindawi Publishing Corporation Journal Of Engineering Volume 2015, Article ID 452592, 7 Pages.
Silpisikha Goswami And Dipak Sarma (2021) “THE SIMULTANEOUS EFFECT OF ECKERT NUMBER AND MAGNETIC PRANDTL NUMBER ON CASSON FLUID
FLOW” Frontiers In Heat And Mass Transfer (FHMT),16,12(2021).
Anuar Jamaludin, Roslinda Nazar And Ioan Pop (2018) “Three-Dimensional Magnetohydrodynamic Mixed Convection Flow Of Nanofluids Over A Nonlinearly Permeable Stretching/Shrinking Sheet With Velocity And Thermal Slip” Appl. Sci. 2018, 8, 1128.
M. Y. Malik, Arif Hussain, T. Salahuddin, And M. Awais (2016) “Effects Of Viscous Dissipation On MHD Boundary Layer Flow Of Sisko Fluid Over A Stretching Cylinder” AIP Advances 6, 035009 (2016).
Shina D.Oloniiju, Sicelo P. Goqo, Precioussibanda (2019) “A Chebyshev Pseudo- Spectral Method For The Multi-Dimensional Fractional Rayleigh Problem For A Generalized Maxwell Fluid With Robin Boundary Conditions” Applied Numerical Mathematics.
D. Bhukta, G.C. Dash, S.R. Mishra, S. Baag (2015) “Dissipation Effect On MHD Mixed Convection Flow Over A Stretching Sheet Through Porous Medium With Non-Uniform Heat Source/Sink” Ain Shams Engineering Journal (2017) 8,353-361.
C.F. Rowlatt, T.N. Phillips (2016) “A Spectral Element Formulation Of The Immersed Boundary Method For Newtonian Fluids” Comput. Methods Appl. Mech. Engrg. 298 (2016) 29–57.
Ahmad Banjijafar, Sharidanshafie, Imran Ullah (2020) “MHD Radiative Nanofluid Flow Induced By A Nonlinear Stretching Sheet In A Porous Medium” Heliyon 6 (2020) E04201.
Xi-Yan Tian, Ben-Wen Li, Ya-Shuai Wu, Jing-Kui Zhang(2015) “Chebyshev Collocation Spectral Method Simulation For The 2D Boundary Layer Flow And Heat Transfer In Variable Viscosity MHD Fluid Over A Stretching Plate” International Journal Of Heat And Mass Transfer 89 (2015) 829–837.
M. Fakour, A. Vahabzadeh, D.D.Ganji (2015) “Study Of Heat Transfer And Flow Of Nano Fluid In Permeable Channel In The Presence Of Magnetic Field” Propulsion Andpowerresearch,4(1):50–62.
Masood Khan, Muhammad Azam (2017) “Unsteady Heat And Mass Transfer Mechanisms In MHD Carreau Nanofluid Flow” Journal Of Molecular Liquids 225 (2017), 554–562.
A.M. EI Shafey, Fahad M. Alharbi, Aneela Javed, Nadeem Abbas, H. A. Alrafai, S. Nadeem, Alibek Issakhov (2021) “Theoretical Analysis Of Brownian And Thermophoresis Motion Effects For Newtonian Fluid Flow Over Nonlinear Stretching Cylinder” Case Studies In Thermal Engineering 28 (2021) 101369.
J. Srinivas And J. V. Ramana Murthy (2015) “Thermodynamic Analysis For The Mhd Flow Of Two Immiscible Micropolar Fluids Between Two Parallel Plates” Frontiers In Heat And Mass Transfer (FHMT), 6, 4 (2015).
Mubashar Arshad, Azad Hussain, Ali Hassan, Qusain Haider, Anwar Hassan Ibrahim, Maram S. Alqurashi, Abdulrazak H. Almaliki And Aishah Abdussattar (2022) “Thermophoresis And Brownian Effect For Chemically Reacting Magneto-Hydrodynamic Nanofluid Flow Across An Exponentially Stretching Sheet” Energies 2022, 15, 143.
N. Sandeep, C. Sulochana, C. S. K. Raju And M. J. Babu (2015) “Unsteady Boundary Layer Flow Of Thermophoretic MHD Nanofluid Past A Stretching Sheet With Space And Time Dependent Internal Heat Source/Sink” Applications And Applied Mathematics: An International Journal (AAM) Vol. 10, Issue 1, 312-327.
J.C. Misra And G.C. Shit (2009) “Biomagnetic Viscoelastic Fluid Flow Over A Stretching Sheet” Applied Mathematics And Computation 210 (2009) 350–361.
A. Sinha (2015) “MHD Flow And Heat Transfer Of A Third Order Fluid In A Porous Channel With Stretching Wall: Application To Hemodynamics” Alexandria Engineering Journal Volume 54, Issue 4, December 2015, Pages 1243-1252.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
All papers should be submitted electronically. All submitted manuscripts must be original work that is not under submission at another journal or under consideration for publication in another form, such as a monograph or chapter of a book. Authors of submitted papers are obligated not to submit their paper for publication elsewhere until an editorial decision is rendered on their submission. Further, authors of accepted papers are prohibited from publishing the results in other publications that appear before the paper is published in the Journal unless they receive approval for doing so from the Editor-In-Chief.
IJISAE open access articles are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. This license lets the audience to give appropriate credit, provide a link to the license, and indicate if changes were made and if they remix, transform, or build upon the material, they must distribute contributions under the same license as the original.
