Numerical investigation of nonlinear radiative flux of non-Newtonian MHD fluid induced by nonlinear driven multi-physical curved mechanism with variable magnetic field

Kehinde Sanni; Adeshola Adediran; Aliu Tajudeen

doi:10.46481/jnsps.2023.1435

Authors

Kehinde Sanni
[email protected]

Department of Mathematics, COMSATS University Islamabad, Chak Shahzad Road, Islamabad, 44000
Adeshola Dauda Adediran
Department of Mathematics and Statistics, Kwara State University Malete
Aliu Olaniyi Tajudeen
Department of Mathematics and Statistics, Kwara State University Malete

Keywords:

Power-law, cross fluid, radiation, dissipation, MHD, curved surface, joule heating

Abstract

This paper discusses two-dimensional heat flow of an incompressible non-Newtonian hydromagnetic fluid over a power-law stretching curved sheet. The energy equation of the flow problem considers a radiative flux influenced by viscous dissipation and surface frictional heating. Lorentz force and Joule heating are taken in the consequence of applied variable magnetic field satisfying solenoidal nature of magnetism. The governing equations are reduced to boundary-layer regime using dimensionless quantities and the resulting PDEs are converted into ODEs by suitable similarity variables. The flow fields; velocity and temperature are computed numerically by implementing Keller-Box shooting method with Jacobi iterative technique. Error analysis is calculated to ensure solutions' convergence. Interesting flow parameters are examined and plotted graphically. Results show that velocity is increased for large number of fluid rheology and opposite effects are recorded for increasing curvature, Lorentz force, and stretching power. Flow past a flat and curved surfaces are substantial in validation of this present work.

Dimensions

REFERENCES

T. Hayat, M. Zubair, M. Ayub, M. Waqas & A. Alsaedi ”Stagnation point flow towards nonlinear stretching surface with Cattaneo-Christov heat flux”, Eur Phys J Plus 131 (2016) 355.

B.C. Rout & S. R. Mishra ”Thermal energy transport on MHD nanofluid flow over a stretching surface: A comparative study”, Eng Sci Tech Int J 21(1) (2018) 69.

M. Turkyilmazoglu ”Flow of a micropolar fluid due to a porous stretching sheet and heat transfer”, Int J Nonlinear Mech 83 (2016) 64.

A. Zeeshan & A. Majeed and R Ellahi ”Effect of magnetic dipole on viscous ferro-fluid past a stretching surface with thermal radiation, J Mol Liq”, 215(2016) 554.

R. Mohamed, M. L. Eid Kasseb, T. Mohammed & M. Sheikholeslami ”Numerical treatment for Carreau nanofluid flow over a porous nonlinear stretching surface”, Results Phys 8(2018) 1193.

B.C. Prasannakumara, B. J. Gireesha, M. R. Krishnamurthy & K. G. Kumar ”MHD flow and nonlinear radiative heat transfer of Sisko nanofluid over a nonlinear stretching sheet”, Inf Med Unlocked 9(2017) 132.

A. S. Feroz, M. Usman, R. Ul Haq & W. Wang ”Melting heat transfer analysis of Sisko fluid over a moving surface with nonlinear thermal radiation via collocation method”, Heat Mass Transfer 126(2018) 1042.

L. A. Lund, Z. Omar & K llyas ”Analysis of dual solution for MHD flow of Williamson fluid with Slippage”, Heliyon 5(3)(2019) 20.

R. Khalil, A. Qaiser, M. Y. Malik & U. Ali ”Numerical communication for MHD thermally stratified dual convection flow of Casson fluid yields by stretching cylinder”, Chinese J Phys 55(4)(2017) 1614.

A. Mohamed & A. A. Afify ”Lie group analysis of hydromagnetic flow and heat transfer of a power-law fluid over stretching surface with temperature-dependent viscosity and thermal conductivity”, Int J Mod Phys 27(11)(2016) 20.

T. Hayat, M. K. Ijaz, M. Tamoor, M. Waqas & A. Alsaedi ”Numerical Simulation of heat transfer in MHD Stagnation point flow of Cross fluid model towards a stretched surface”, Results Phys 7(2017) 1827.

M. Khan, M. Manzur & M. Rahman ”On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet, Results Phys”, 7(2017) 3772.

M. Manzur, M. Khan & M. Rahman ”Mixed convection heat transfer to Cross fluid with thermal radiation: Effects of buoyancy assisting and opposing flows”, Int J Mechanical Sci 139(2018) 523.

M. K. Ijaz, W. Waqas, T. Hayat & A. Alsaedi ”Magneto-hydrodynamical numerical simulation of heat transfer in MHD stagnation point flow of Cross fluid model towards a stretched surface”, Phys Chem Liq 56 (5)(2017) 595.

I-C. Liu ”Flow and heat transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet subject to a transverse magnetic field”, Int. J. Nonlinear Mech 40(2005) 474.

T. Hayat, A. Shafiq & A. Alsaedi ”Effect of Joule Heating and Thermal Radiation in flow of third grade Fluid over Radiative surface”, PLoS ONE 9(1)(2014) 153.

A. A. Hamad ”Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field”, Int Commun Heat Mass 38(4)(2011) 492.

A. B. Disu & S. O. Salawu ”Thermal distribution of magneto-tangent hyperbolic flowing fluid over a porous moving sheet: A lie group analysis”, J. Nig. Soc. Phys. Sci. 5(2023) 1103.

P. B. Sharma, M. Kapalta, A. Kumar, D. Bains, S. Gupta & P. Thakur ”Electrodynamic Convection Dieletric Rotating Oldroydian Nanofluid in Porous Medium”,J. Nig. Soc. Phys. Sci. 5(2023) 1137.

C. Y. Wang ”Free convection on a vertical stretching surface”, J Appl Math Mech 9(1989) 420.

R. S. R. Gorla & R. I. Sidawi ”Free convection on a vertical stretching surface with suction and blowing”, Appl Sci Res 52(1994) 257.

M. Jalil & S. Asghar ”Flow of power-law fluid over a stretching surface: A Lie group analysis”, Int J Nonlinear Mech 48(2018) 71.

M. Mustafa, J. A. Khan, T. Hayat & A. Alsaedi ”Simulation for Maxwell fluid flow past a convectively heated exponentially stretching sheet with nanoparticles”, AIP Adv 5(3)(2015) 133.

M. Khan, R. Malik, A. Munir & W.A. Khan ”Flow and heat transfer in Sisko fluid with convective boundary conditions”, PLoS ONE 9(10)(2014) 989.

T. Hayat, M. Farooq, A. Alsaedi & Z. Iqbal ”Melting heat transfer in the stagnation point flow of Powell-Eyring fluid”, J Thermophys Heat 27(2013) 766.

E. Azhar, Z. Iqbal, S. Ijaz, & E. N. Maraj ”Numerical approach for stagnation point flow of Sutterby fluid impinging to Cattaneo-Christov heat flux model”, Pramana – J. Phys 91(2018) 61.

M. Sajid, N. Ali, T. Javed & Z. Abbas ”Stretching a curved surface in a viscous fluid, Chinese Phys”, Lett 27(2010) 703.

Z. Abbas, M. Naveed & M. Sajid ”Heat transfer analysis for stretching flow over a curved surface with magnetic field”, J Eng Thermophys 22(2013) 345.

K. M. Sanni, Q. Hussain & S. Asghar ”Heat transfer analysis for nonlinear boundary driven flow over a curved stretching sheet with a variable magnetic field”, Front Phys 8(2020) 113.

K. M. Sanni, Q. Hussain & S. Asghar ”Thermal Analysis of a Hydromagnetic Viscoelastic Fluid Over a Continuous Curved Stretching Surface in the Presence of Radiative Heat Flux”, Arab J Sci Eng (2020) 8.

F. Saba, N. Ahmed, S. Hussain, U. Khan & S. T. Mohyd-Din ”Thermal Analysis of Nanofluid Flow over a Curved Stretching Surface Suspended by Carbon Nanotubes with Internal Heat Generation”, Appl Sci 8(2018) 395.

T. Hayat, R. Sajjad, R. Ellahi, A. Alsaedi & T. Muhammad

”Homogeneous-heterogeneous reaction in MHD flow of Micropolar fluid by a Curved Stretching Surface”, J Mol Liq 240(2017) 220.

S. H. Saleh, M. Arfin, R. Nazar & I. Pop ”Unsteady Micropolar Fluid over a Permeable Curved Stretching Shrinking Surface”, Math Probl Eng 2017(2017) 13.

M. Naveed, Z. Abbas & M. Sajid ”Dual Solutions in Hydromagnetic Viscous Fluid Flow Past a Shrinking Curved Surface”, Arab J Sci Eng 43(2018) 1194.

K.M. Sanni, S. Asghar, M. Jalil & N. F. Okechi ”Flow of viscous fluid along a nonlinearly stretching curved surface”, Results Phys 7(2017) 7.

S. Nadeem, Z. Ahmed & S. Saleem ”Carbon nanotubes effect in magneto nanofluid flow over a curved stretching surface with variable viscosity, Microsyst Technol”, 25(2018) 2888.

M. M. Cross ”Rheology of non-Newtonian fluids: A new flow equation for pseudoplastic systems”, J Colloid Sci 20(5)(1965) 437.

K. M. Sanni, Q. Hussain & S. Asghar ”Heat transfer analysis for nonlinear boundary driven flow over a curved stretching sheet with a variable magnetic field”, Front Phys 8(2020) 113.

K. M. Sanni, Q. Hussain & S. Asghar ”Thermal Analysis of a Hydromagnetic Viscoelastic Fluid Over a Continuous Curved Stretching Surface in the Presence of Radiative Heat Flux”, Arab J Sci Eng (2020) 8.

Yasir N & Shoaib Arif M ”Keller-Box shooting method and its application to nanofluid flow over convectively heated sheet with stability and convergence. Num Heat Transfer, B: Fundamentals”, 76(2019) 180.