Viscous Dissipation and Chemical Reaction on Radiate MHD Casson Nanofluid Past a Stretching Surface with a Slip Effect

Document Type : Full Length Research Article

Authors

1 Department of Mathematics, Osmania University College for Women, Koti, Hyderabad, Telangana, India

2 Department of Mathematics, GITAM University, Hyderabad, Telangana, India

3 Department of Humanities and Sciences (Mathematics), CVR College of Engineering, Hyderabad, Telangana, India

4 Department of Mathematics, St. Ann’s College for Women, Hyderabad, Telangana, India

Abstract

This article explains the MHD Casson nanofluid flow in the presence of chemical reaction coefficient past a linear stretching surface along with the slip condition. Mainly, the analysis of heat and mass transfer in the presence of Brownian motion and the thermophoretic diffusion effect is performed. Mathematical modeling for the law of conservation of mass, momentum, hear and concentration of nanoparticles is executed. Governing nonlinear partial differential equations are transformed into the dimensionless nonlinear ordinary differential equations by using appropriate transformations. To achieve numerical solution for the considered model, shooting technique and Adams-Moulton method of fourth order are used to obtain the numerical results via the computational program language FORTRAN. Comparison between the obtained results and previous works are well in agreement was observed. For the velocity, temperature, and concentration profiles, numerical computations are conducted. The effects slip parameter, velocity ratio parameter, Casson parameter, Casson parameter taken the problem. 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. In addition, physical quantities of absorption like skin friction, local Nusselt and Sherwood numbers are also shown graphically.

Keywords

Main Subjects

References

  1. Jamil and C. Fetecau, 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. doi: 10.1016/j.jnnfm.2010.08.004
  2. M. Rashidi, M. M. Bhatti, M. A. Abbas, and M. E.-S. Ali, 2016. Entropy generation on MHD blood flow of nanofluid due to peristaltic waves. Entropy, 18(4), pp. 117. Doi: https://doi.org/10.3390/e18040117
  3. V. Goncalves and S. C. Lannes, 2010. Chocolate rheology. Food Science and Technology, 30(4), pp. 845-851.
    Doi:https://www.redalyc.org/articulo.oa?id=395940102002
  4. Narender, K. Govardhan and G. Sreedhar Sarma, 2020. Magnetohydrodynamic stagnation point on a Casson nanofluid flow over a radially stretching sheet. Beilstein J. Nanotech nol., 11, pp. 1303–1315.
    Doi:  https://doi.org/10.3762/bjnano
  5. Narender, K. Govardhan and G. Sreedhar Sarma, 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.
    doi: 10.22055/JACM.2019.14804
  6. 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.
    doi:11113/mjfas.v15n4.1256
  7. 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. doi: https://doi.org/10.1108/HFF-12-2019-0910
  8. A. Yousif, H.F. Ismael, T. Abbas, R. Ellahi, 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. doi: 10.1615/HeatTransRes. 2018025568
  9. 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. Sci., 13, pp. 9510. doi: https://doi.org/10.3390/app13179510
  10. Sheikholeslami, M. Gorji-Bandpy, and D. Ganji., 2014. Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid. Powder Technology, 254, pp. 82-93. doi: https://doi.org/10.1016/j.powtec.2013.12.054
  11. Rashidi, N. V. Ganesh, A. A, Hakeem, and B. Ganga., 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. doi:https://doi.org/10.1016/j.molliq.2014.06.037
  12. Zeeshan, A. Majeed, and R. Ellahi, 2015. Effect of magnetic dipole on viscous ferro-fluid past a stretching surface with thermal radiation. Journal of Molecular liquids, 215, pp. 549-554.  doi: https://doi.org/10.1016/j.molliq.2015.12.110
  13. Hayat, S. Asad, M. Mustafa, and A. Alsaedi, 2015. MHD stagnation-point flow of Jeffrey fluid over a convectively heated stretching sheet. Computers & Fluids, 108, pp. 179-185. doi:https://doi.org/10.1016/j.compfluid.2014.11.016
  14. Narender, K. Govardhan and G. Sreedhar Sarma, 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, doi:10.22075/ijnaa.2020.18958.2045
  15. Ellahi, 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. doi: http://dx.doi.org/10.1016/j.apm.2012.04.004.
  16. Majeed A, Zeeshan A, Alamri SZ, 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. doi: https://doi.org/10.1007/s00521-016-2830-6.
  17. Shah, S. Hussain, and M. Sagheer, 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, 6,
    doi: https://doi.org/10.1063/1.4960830
  18. Madhu, N. Kishan, and A. J. Chamkha, 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, doi: https://doi.org/10.1016/j.jppr.2017.01.002
  19. F. Endalew and A. Nayak, 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), pp. 1-20. doi: 10.1002/htj.21367
  20. 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. doi:https://doi.org/10.1016/j.apm.2014.05.023
  21. 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. doi: 22059/JCAMECH.2022.348047.749
  22. Batcha Srisailam, Katkoori Sreeram Reddy, Ganji Narender and Bala Siddhulu Malga, 2023. The Effect of Viscous Dissipation and Chemical reaction on the flow of MHD Nanofluid. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 107(2), pp. 150-170. doi: https://doi.org/10.37934/arfmts.107.2.150170
  23. H. Yazdi, S. Abdullah, I. Hashim, K. Sopian, 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. doi:https://doi.org/10.1016/j.ijheatmasstransfer.2011.04.009
  24. 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. Appl. Mech. Lett., 7(4), pp. 235-242. doi:https://doi.org/10.1016/j.taml.2017.06.003.
  25. Ibrahim and O. Makinde, 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, 29(2), pp. 04015037. doi:10.1061/(ASCE)AS.1943-5525.0000529

Files

Cited by

History

  • Receive Date: 10 September 2023
  • Revise Date: 04 January 2024
  • Accept Date: 04 January 2024

Share

How to cite

Statistics