Numerical Solutions for Radiative MHD Casson Nanofluid Flow with Slip, Heat Source, and Chemical Reactions over a Stretching Surface
DOI:
https://doi.org/10.62054/ijdm/0104.05Keywords:
Casson, Viscous dissipation, nanofluid, Slip and Magnetohydrodynamic(MHD).Abstract
MHD Casson nanofluid flow in the presence of viscous dissipation, thermal radiation and chemical reaction past a linear stretching surface is investigated. The problem is subjected to slip boundary conditions. The analysis of heat and mass transfer in the presence of Brownian motion and the thermophoretic diffusion effects are incorporated into heat and mass transfer. Nonlinear partial differential equations model governing the problems are transformed into the dimensionless nonlinear ordinary differential equations via similarity variables, then shooting method with sixth-order Runge- Kutta numerical scheme is used to solve the reduce system of Ordinary Differential Equations (ODE). Maple software is used to perform the simulation. The results are presented graphically and in tabular form and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters. Comparison between the obtained results and previous works are well in agreement. Numerical values of the local skin-friction, Nusselt number and nanoparticle Sherwood number are computed and analyzed. It is noted that the skin-friction coefficient decreases for the larger values of velocity ratio parameter, slip parameter, and increases with an increasing value of Casson parameter. It is also found that enhancing the chemical reaction parameter leads to decrease in concentration profile
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Chaoli Zhang, Liancun Zhang, Xinxin Zhang and Goong Chen. (2015). MHD Flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction. Applied Mathematical Modelling, 39(9), pp. 165 – 181.
Daniel, Y.S., Aziz, Z.A., Ismail, Z., Salah, F., (2017). Entropy analysis in electrical magnetohydrodynamic (MHD) flow of nanofluid with effects of thermal radiation, viscous dissipation and Chemical reaction. 7(4), pp 235-242
Elelamy, A.F., Elgazery, N.S. and Ellahi, R., (2020). Blood flow of MHD non-Newtonian nanofluid with heat transfer and slip effects: Application of bacterial growth in heart valve. International Journal of Numerical Methods for Heat & Fluid Flow, 30(11), pp. 4883-4908.
Ellahi, R. (2013). The effects of MHD and temperature dependent viscosity on the flow of non- Newtonian nanofluid in a pipe: Analytical solutions. Applied Mathema'tical Modelling, 37, pp.1451–1467.
Endalew. M. F. and Nayak, A. (2018). Thermal radiation and inclined magnetic field effects on MHD flow past a linearly accelerated inclined plate in a porous medium with variable temperature. Heat Transfer-Asian Research, 48(4),
Gobburu Sreedhar Sarma, Ganji Narender, Kamatam Govardhan,(2022). Radiation effect on the flow of Magneto Hydrodynamic nanofluids over a stretching surface with Chemical reaction, Journal of Computational Applied Mechanics, 53(4), pp. 494-509.
Goncalves, E. V. and Lannes, S. C. (2010). Chocolate rheology. Food Science and Technology, 30(4), pp. 845-851.
Govardhan K, Narender G, Sarma GS, (2019). Viscous dissipation and chemical reaction effects on MHD Casson nanofluid over a stretching sheet. Malaysian Journal of Fundamental and Applied Sciences, 15(4), pp. 585–592.
Hayat, T., Asad, S. Mustafa, M. and Alsaedi, A.(2015). MHD stagnation-point flow of Jeffrey fluid over a convectively heated stretching sheet. Computers & Fluids, 108, pp. 179-185.
Ibrahim, W. and Makinde, O. (2015). Magnetohydrodynamic stagnation point flow and heat transfer of Casson nanofluid past a stretching sheet with slip and convective boundary condition. Journal of Aerospace Engineering, 04015037. 29(2), pp. 04015037
Jamil, M. and Fetecau, C. (2010). Some exact solutions for rotating flows of a generalized Burgers fluid in cylindrical domains. Journal of Non-Newtonian Fluid Mechanics, 165(23-24), pp. 1700-1712.
Madhu, M. Kishan, N. and Chamkha, A. J. (2017). Unsteady flow of a Maxwell nanofluid over a stretching surface in the presence of magnetohydrodynamic and thermal radiation effects. Propulsion and Power Research, 6, pp. 31-40,
Majeed A, Zeeshan A, Alamri S.Z, Ellahi R, (2018). Heat transfer analysis in ferromagnetic viscoelastic fluid flow over a stretching sheet with suction. Neural Comput & Applic, 30(6), pp.1979-1955.
Narender, G. Govardhan, K and Sreedhar Sarma, G. (2021). Viscous dissipation and thermal radiation effects on the flow of Maxwell nanouid over a stretching surface. Int. J. Nonlinear Anal. Appl., 12(2), pp. 1267 1287
Narender, G. Govardhan, K. and Sreedhar Sarma, G. (2020). Magnetohydrodynamic stagnation point on a Casson nanofluid flow over a radially stretching sheet. Beilstein J. Nanotech nol., 11, pp. 1303–1315.
Narender, G. Govardhan, K. and Sreedhar Sarma, G. (2021). MHD Casson Nanofluid Past a Stretching Sheet with the Effects of Viscous Dissipation, Chemical Reaction and Heat Source/Sink. J. Appl. Comput. Mech., 7(4), pp. 2040–2048.
Rashidi, M. M., Bhatti, M. M. Abbas, M. A. and Ali, M. E (2016). Entropy generation on MHD blood flow of nanofluid due to peristaltic waves. Entropy, 18(4), pp. 117.
Rashidi, M., Ganesh, N. V. Hakeem, A. A, and Ganga., B.(2014). Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation. Journal of Molecular Liquids, 198, pp. 234-238.
Shah, S. Hussain, S. and Sagheer, M. (2016). MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux model. AIP Advances,
Sheikholeslami, M. Gorji-Bandpy, M. and Ganji., D.(2014). Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid. Powder Technology, 254, pp. 82 93.
Swapna, D. Govardhan, K. Narender, G. and Misra, S. (2023) and Viscous Dissipation and Chemical Reaction on Radiate MHD Casson Nanofluid Past a Stretching Surface with a Slip Effect, Journal of Heat and Mass Transfer Research 10, Serial Number 20, 315 – 328
Yazdi, M.H. Abdullah, S. Hashim, I. Sopian, K. (2011). Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction. International Journal of Heat and Mass Transfer, 54, pp. 3214–3225.
Yousif, M.A., Ismael, H.F., Abbas, T. and Ellahi, R. (2019). Numerical study of momentum and heat transfer of MHD Carreau nanofluid over exponentially stretched plate with internal heat source/sink and radiation. Heat Transf. Res., 50(7), pp. 649-658.
Zeeshan, A. Majeed, A. and Ellahi, R. (2015). Effect of magnetic dipole on viscous ferro fluid past a stretching surface with thermal radiation. Journal of Molecular liquids, 215, pp. 549-554.
Zeeshan, A., Khan, M.I, Ellahi, R., Marin, M., (2023). Computational Intelligence Approach for Optimising MHD Casson Ternary Hybrid Nanofluid over the Shrinking Sheet with the Effects of Radiation. Appl. Sci., 13, pp. 9510.
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