The analysis of nanofluids in the solar thermal system is very fascinating owing to its important engineering applications (i.e., solar collectors). Aside from these the non-Newtonian boundary layer fluid flow has experienced considerable attention due to uprising engineering applications in the solar thermal field. This work investigates the analysis of chemically reactive hydromagnetic Maxwell fluid conveying tiny particles due to Navier partial slip. The governing equations that model the transport phenomena were transformed using suitable similarity variables. The boundary value problem of the corresponding coupled nonlinear ordinary differential equations was solved numerically using the shooting technique together with the fourth-order Runge-Kutta integration scheme and in-built bvp4c package of MATLAB. The effects of various controlling parameters on velocity, temperature, and concentration distributions were presented graphically and studied theoretically. Furthermore, the study reveals that the Navier slip parameter (δ) increases as the velocity distribution decreases, while it enhances both the temperature and concentration distributions, increase in the radiation parameter (Nr) enhances the temperature distribution, and the chemical reaction (γ) increment leads to decrease in concentration distribution.
Cite this paper
Koriko, O. K. , Oladipupo, V. A. , Omowaye, A. J. and Oni, S. T. (2021). Analysis of Chemically Reactive Hydromagnetic Maxwell Fluid Conveying Tiny Particles Due to Navier Partial Slip. Open Access Library Journal, 8, e8003. doi: http://dx.doi.org/10.4236/oalib.1108003.
Aliakbar, V., Alizadeh, P.A. and Sadeghy, K. (2009) The Influence of Thermal Radiation on MHD Flow of Maxwellian Fluids above Stretching Sheets. Communications in Nonlinear Science and Numerical Simulation, 14, 779-794.
https://doi.org/10.1016/j.cnsns.2007.12.003
Motsa, S.S., Hayat, T. and Aldossary, O.M. (2012) MHD Flow of Upper-Convected Maxwell Fluid over Porous Stretching Sheet Using Successive Taylor Series Linearization Method. Applied Mathematics and Mechanics, 33, 975-990.
https://doi.org/10.1007/s10483-012-1599-x
Noor, F. and Mohammad, N. (2012) Analysis for MHD Flow of a Maxwell Fluid Past a Vertical Stretching Sheet in the Presence of Thermophoresis and Chemical Reaction. International Journal of Physical and Mathematical Sciences, 6, 485-489.
Sajid, M., Abbas, Z., Ali, N., Javed, T. and Ahmad, I. (2013) Slip Flow of a Maxwell Fluid Past a Stretching Sheet. Walailak Journal of Science and Technology, 11, 1093-1103.
Shateyi, S. and Marewo, G.T. (2013) A New Numerical Approach of MHD Flow with Heat and Mass Transfer for the UCM fluid over a Stretching Surface in the Presence of Thermal Radiation. Mathematical Problems in Engineering, 2013, 1-8.
https://doi.org/10.1155/2013/670205
Adegbie, K.S., Omowaye, A.J., Disu, A.B. and Animasaun, I.L. (2015) Heat and Mass Transfer of Upper Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Horizontal Melting Surface. Applied Mathematics, 6, 1362-1379. https://doi.org/10.1155/2013/670205
Ramesh, G.K., Gireesha, B.J., Hayat, T. and Alsaedi, A. (2016) Stagnation Point Flow of Maxwell Fluid towards a Permeable Surface in the Presence of Nanoparticles. Alexandria Engineering Journal, 55, 857-865.
https://doi.org/10.1016/j.aej.2016.02.007
Baoku, I.G. and Falade, K.I. (2019) MHD Maxwell Reactive Flow with Velocity Slip over a Stretching Surface with Prescribed Heat Flux in the Presence of Thermal Radiation in a Porous Medium. Journal of Advances in Mathematics and Computer Science, 31, 1-25. https://doi.org/10.9734/jamcs/2019/v31i330116
Baoku, I.G. (2018) Influence of Chemical Reaction, Viscous Dissipation and Joule Heating on MHD Maxwell Fluid Flow with Velocity and Thermal Slip over a Stretching Sheet. Journal of Advances in Mathematics and Computer Science, 28, 1-20.
https://doi.org/10.9734/JAMCS/2018/42481
Ibrahim, W. and Negera, M. (2020) MHD Slip Flow of Upper-Convected Maxwell Nanofluid over a Stretching Sheet with Chemical Reaction. Journal of the Egyptian Mathematical Society, 28, Article No. 7. https://doi.org/10.1186/s42787-019-0057-2
Imran, M.A., Riaz, M.B., Shah, N.A. and A.A. (2018) Boundary Layer Flow of MHD Generalized Maxwell Fluid over an Exponentially Accelerated Infinite Vertical Surface with Slip and Newtonian Heating at the Boundary. Results in Physics, 8, 1061-1067. https://doi.org/10.1016/j.rinp.2018.01.036
Ramesh, G.K., Gireesha, B. J., Hayat, T. and Alsaedi, A. (2015) MHD Flow of Maxwell Fluid Over a Stretching Sheet in the Presence of Nanoparticles, Thermal Radiation and Chemical Reaction: A Numerical Study. Journal of Nanofluids, 4, 100-106.
https://doi.org/10.1166/jon.2015.1133
Ramesh, G.K., Roopa, G.S., Gireesha, B.J., Shehzad, S.A. and Abbasi, F.M. (2017) An Electro-Magneto-Hydrodynamic Flow Maxwell Nanoliquid Past a Riga Plate: A Numerical Study. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39, 4547-4554. https://doi.org/10.1007/s40430-017-0900-z
Omowaye, A.J. and Animasaun, I.L. (2016) Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification. Journal of Applied Fluid Mechanics, 9, 1777-1790.
Koriko, O.K., Adegbie, K.S., Omowaye, A.J. and Animasaun, I.L. (2016) Boundary layer Analysis of Upper Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Thermally Stratified Surface. FUTA Journal of Research in Sciences, 12, 287-298.
Shehzad, S.A., Alsaedi, A. and Hayat, T. (2013) Hydromagnetic Steady Flow of Maxwell Fluid over a Bidirectional Stretching Surface with Prescribed Surface Temperature and Prescribed Surface Heat Flux. PLoS ONE, 8, Article ID: e68139.
https://doi.org/10.1371/journal.pone.0068139
Salah, F., Abdul Aziz, Z., Ayem, M. and Ling Chuan Ching, D. (2013) MHD Accelerated Flow of Maxwell Fluid in a Porous Medium and Rotating Frame. International Scholarly Research Notices, 13, Article ID: 485805.
https://doi.org/10.1155/2013/485805
Choi, S.U.S. and Eastman, J.A. (1995) Enhancing Thermal Conductivity of Fluids with Nanoparticles. Proceedings of the ASME International Mechanical Engineering Congress and Exposition, Vol. 66, San Francisco, 12-17 November 1995, 99-105.
Rashidi, M.M., Ganesh, N.V., Abdulhakeem, A.K. 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, 234-238.
https://doi.org/10.1016/j.molliq.2014.06.037
Rout, B.C. and Mishra, S.R. (2018) Thermal Energy Transport on MHD Nanofluid flow over a Stretching Surface: A Comparative Study. Engineering Science and Technology, An International Journal, 21, 60-69.
https://doi.org/10.1016/j.jestch.2018.02.007
Shoaib, M., Raja, M.A., Sabir, M.T., Islam, S., Shah, Z., Kumam, P. and Alrabaiah, H. (2020) Numerical Investigation for Rotating Flow of MHD Hybrid Nanofluid with Thermal Radiation over a Stretching Sheet. Scientific Reports, 10, Article No. 18533. https://doi.org/10.1038/s41598-020-75254-8
Zainal, N.A., Nazar, R., Naganthran, K. and Pop, I. (2020) MHD Flow and Heat Transfer of Hybrid Nanofluid over a Permeable Moving Surface in the Presence of Thermal Radiation. International Journal of Numerical Methods for Heat and Fluid Flow, 31, 858-879. https://doi.org/10.1108/HFF-03-2020-0126
Animasaun, I.L., Mahanthesh, B. and Koriko, O.K. (2018) On the Motion of non-Newtonian Eyring-Powell Fluid Conveying Tiny Gold Particles Due to Generalized Surface Slip Velocity and Buoyancy. International Journal of Applied and Computational Mathematics, 4, Article No. 137.
https://doi.org/10.1007/s40819-018-0571-1
Suneetha, S., Subbarayudu, K., Wahidunnisa, L. and Reddy, P.B.A. (2020) Navier Slip Condition on Time-Dependent Radiating Nanofluid with the Soret Effect. Engineering Transactions, 68, 177-198.
Ren, W., Trinh, P.H. and Weinan, E. (2015) On the Distinguished Limits of the Navier Slip Model of the Moving Contact Line Problem. Journal of Fluid Mechanics, 772, 107-126. https://doi.org/10.1017/jfm.2015.173
Venkatesan, J. and Ganesan, S. (2015) On the Navier-Slip Boundary Condition for Computations of Impinging Droplets. 2015 IEEE 22nd International Conference on High Performance Computing Workshops, Bengaluru, 16-19 December 2015, 2-11.
https://doi.org/10.1109/HiPCW.2015.10
Fang, M., Gilbert, R.P. and Liu, X. (2010) A Squeeze Flow Problem with a Navier Slip Condition. Mathematical and Computer Modelling, 52, 268-277.
https://doi.org/10.1016/j.mcm.2010.02.024
Bolanos, S.J. and Vernescu, B. (2017) Derivation of the Navier Slip and Slip Length for Viscous Flows over a Rough Boundary. Physics of Fluids, 29, Article ID: 057103.
https://doi.org/10.1063/1.4982899
Khan, W.A. and Pop, I. (2010) Boundary Layer Flow of a Nanofluid Past a Stretching Sheet. International Journal of Heat and Mass Transfer, 53, 2477-2483.
https://doi.org/10.1016/j.ijheatmasstransfer.2010.01.032
Kandasamy, R., Muhaimin, I. and Mohamad, R. (2013) Thermophoresis and Brownian Effects on MHD Boundary Layer Flow of a Nanofluid in the Presence of Thermal Stratification Due to Solar Radiation. International Journal of Mechanical Sciences, 70, 146-154. https://doi.org/10.1016/j.ijmecsci.2013.03.007
Seth, G.S., Bhattacharyya, A. and Mishra, M.K. (2019) Study of Partial Slip Mechanism on Free Convection Flow of Viscoelastic Fluid Past a Nonlinearly Stretching Surface. Computational Thermal Sciences, 11, 1-13.
https://doi.org/10.1615/ComputThermalScien.2018024728